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Problem solving facts for kids

Problem solving is a mental activity related to intelligence and thinking . It consists of finding solutions to problems. A problem is a situation that needs to be changed. It suggests that the solution is not totally obvious, for then it would not be a problem. A great deal of human life is spent solving problems. Social life is based on the notion that together we might solve problems which we could not as individuals.

The word "problem" comes from a Greek word meaning an "obstacle" (something that is in your way). If someone has a problem, they have to find a way of solving the problem. The way to solve it is called a solution. Some problem-solving techniques have been developed and used in artificial intelligence , computer science , engineering , and mathematics . Some are related to mental problem-solving techniques studied in gestalt psychology , cognitive psychology . and chess .

Problems can be classified as ill-defined or well-defined. Ill-defined problems are those that do not have clear goals, solution paths, or expected solution. An example is how to face threats which might perhaps be made in the future. Well-defined problems have specific goals, clearly defined solution paths, and clear expected solutions. These problems also allow for more initial planning than ill-defined problems.

Being able to solve problems involves the ability to understand what the goal of the problem is and what rules could be applied to solving the problem. Sometimes the problem requires abstract thinking and coming up with a creative solution.

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20 Fascinating Math Facts to Amaze and Inspire

Mathematics is often seen as a dry and dull subject, but in reality, it is full of fascinating and mind-boggling facts that can captivate learners of all ages. From intriguing number patterns to surprising historical tidbits, math has a lot more to offer than meets the eye. In this article, we have compiled a list of 20 cool and quirky math facts that are sure to amaze and inspire you. So, let’s dive in and explore the fascinating world of numbers!

1. The Origins of “Hundred”

Did you know that the word “hundred” actually means 120, not 100? Its roots can be traced back to the old Norse term “hundrath.” So the next time you hear someone say “a hundred,” remember that they are actually referring to 120.

2. The Birthday Paradox

In a room with just 23 people, there is a 50% chance that two of them share the same birthday. This may seem counterintuitive, but the probability of a shared birthday increases rapidly as the number of people in the room grows. With 70 people, the probability jumps to a staggering 99.9%. This phenomenon, known as the birthday paradox, is a fascinating example of how probability works in unexpected ways.

3. The Evolution of Mathematical Symbols

Most of the symbols we use in mathematics today were not invented until the 16th century. Before that, equations were often written in words, which made mathematical expressions more cumbersome and difficult to work with. The introduction of symbols like +, -, ×, ÷, and = revolutionized the way mathematics was communicated and paved the way for more efficient problem-solving.

4. The Alphabetical Order of “Forty”

“Forty” is the only number in the English language that is spelled with letters arranged in alphabetical order. This unique linguistic quirk adds an interesting twist to the number’s representation and makes it stand out among its numerical counterparts.

5. Descending Letters in “One”

On the flip side, “one” is the only number in the English language that is spelled with letters arranged in descending order. This peculiar feature gives the number a distinct linguistic distinction and sets it apart from other numerical terms.

6. The Lone “A” in “One Thousand”

Out of all the numbers from 0 to 1000, only “one thousand” contains the letter “a.” This fact adds an intriguing element to the number’s representation and showcases the unique role of the letter “a” in the English language.

7. The Self-Referential Number “Four”

In a fascinating linguistic coincidence, the word “four” is the only number in the English language that is spelled with the same number of letters as the number itself. This self-referential quality makes “four” a standout among other numerical terms and adds a touch of whimsy to its representation.

8. The “E” in Every Odd Number

If you look closely, you’ll notice that every odd number contains the letter “e” in its spelling. This pattern holds true for all odd numbers, from the smallest to the largest, making it a fun linguistic observation that adds an element of consistency to the English language.

9. The Singular “Math”

If you’re an American, you might be puzzled by the fact that Americans refer to mathematics as “math” instead of “maths” like their British counterparts. This difference in terminology stems from the argument that “mathematics” functions as a singular noun, so the abbreviation “math” should also be singular. This linguistic discrepancy adds an interesting cultural twist to the way math is referred to in different parts of the world.

10. Ancient Math on Animal Bones

Mathematics has been an integral part of human civilization for thousands of years. Archaeological evidence, such as markings on animal bones, suggests that humans have been doing math since around 30,000 BC. These early forms of mathematical notation provide a glimpse into the mathematical thinking of our ancestors and highlight the enduring importance of math throughout history.

11. Anagramic Equations: Eleven Plus Two and Twelve Plus One

“Eleven plus two” and “twelve plus one” are anagrams of each other, and both equations yield the same answer: 13. This linguistic quirk adds a playful element to the world of math and showcases the interconnectedness of language and numbers.

12. The Letter Count of “Eleven Plus Two” and “Twelve Plus One”

Continuing the linguistic theme, both “eleven plus two” and “twelve plus one” contain 13 letters each. This numerical symmetry adds a delightful twist to the numerical phrases and highlights the inherent beauty of language and mathematics.

13. Zero’s Absence in Roman Numerals

Zero, the number that represents nothingness, is not represented in Roman numerals. The Romans developed a sophisticated numeral system that served them well for centuries, but it lacked a symbol for zero. This omission made mathematical calculations more challenging and highlights the importance of zero in modern mathematics.

14. Shakespeare’s “Mathematics”

William Shakespeare, the renowned playwright, mentioned the word “mathematics” in only one of his plays: “The Taming of the Shrew.” This literary reference to mathematics showcases the enduring influence of math in various fields and underscores its presence even in the world of literature.

15. The Temperature Equivalence of -40 °C and -40 °F

In a strange coincidence, -40 degrees Celsius is equal to -40 degrees Fahrenheit. This temperature equivalence occurs at the intersection of the two temperature scales and adds an interesting numerical symmetry to the world of thermodynamics.

16. The French Term for a Pie Chart

In France, a pie chart is sometimes referred to as a “camembert.” This unique terminology adds a touch of culinary flair to the world of data visualization and showcases the cultural nuances of mathematical concepts.

17. The Symbol for Division: The Obelus

The symbol for division (÷) is called an obelus. This distinctive symbol, resembling a horizontal line with a dot above and below it, has been used for centuries to represent the operation of division. Its unique design sets it apart from other mathematical symbols and adds a sense of visual interest to mathematical equations.

18. The Prime Numbers Ending in 2 or 5

Among prime numbers, only 2 and 5 end in either 2 or 5. Prime numbers are numbers greater than 1 that can only be divided by 1 and themselves without leaving a remainder. This interesting pattern adds a numerical quirk to the world of prime numbers and showcases the unique properties of these special mathematical entities.

19. The Jiffy: A Unit of Time

Have you ever heard of a jiffy? It is an actual unit of time that represents 1/100th of a second. While the term is not widely used in everyday conversation, it is a fun and quirky addition to the world of time measurement.

20. The Infinite Possibilities of Shuffling Cards

If you shuffle a deck of cards properly, the order of the cards you get is almost certainly one that has never been seen before in the entire history of the universe. With a deck of 52 cards, the number of possible card arrangements is mind-bogglingly large, estimated to be around 8 x 10^67. This astronomical number highlights the vastness of possibilities in a seemingly simple act of shuffling cards.

Wow, these math facts truly showcase the fascinating and unexpected aspects of mathematics. From linguistic curiosities to mind-bending numerical patterns, math has a way of surprising and captivating us. If you want to engage your child further with math and make learning fun, consider exploring educational math games like Math-Whizz. With its interactive lessons and personalized approach, Math-Whizz can help your child increase their math skills and develop a love for numbers. Book a free consultation today and discover the wonders of math!

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22 Unbeatable Team Building Problem Solving Activities

22 Unbeatable Team Building Problem Solving Activities featured image

Problem-solving is a critical skill for professionals and with team building problem-solving activities, you can sharpen your skills while having fun at the same time.  

Updated: March 1, 2024

In the professional world, one thing is for sure: problem-solving is a vital skill if you want to survive and thrive. It’s a universal job skill that organizations seek in new potential employees and that managers look for when considering candidates for promotions.  

But there’s a problem. 

According to Payscale, 60% of managers feel that new grads entering the workforce lack problem-solving abilities – making it the most commonly lacking soft skill.  

Problem-solving skill needs to be practiced and perfected on an ongoing basis in order to be applied effectively when the time comes. And while there are tons of traditional approaches to becoming a better problem-solver, there’s another (much more interesting) option: team building problem-solving activities. 

The good news? This means learning and having fun don’t have to be mutually exclusive. And you can create a stronger team at the same time. 

16 In-Person Team Building Problem Solving Activities for Your Work Group  

1. cardboard boat building challenge, 2. egg drop , 3. clue murder mystery, 4. marshmallow spaghetti tower  , 5. corporate escape room, 6. wild goose chase, 7. lost at sea  , 8. domino effect challenge, 9. reverse pyramid  , 10. ci: the crime investigators, 11. team pursuit, 12. bridge builders, 13. domino effect challenge, 14. hollywood murder mystery, 15. code break, 16. cardboard boat building challenge, 6 virtual team building problem solving activities for your work group  , 1. virtual escape room: mummy’s curse, 2. virtual clue murder mystery, 3. virtual escape room: jewel heist, 4. virtual code break  , 5. virtual trivia time machine.

  • 6. Virtual Jeoparty Social

There are a ton of incredible team building problem solving activities available. We’ve hand-picked 16 of our favorites that we think your corporate group will love too. 

a cardboard boat building challenge for problem solving team building

Split into teams and create a cardboard boat made out of just the materials provided: cardboard and tape. Team members will have to work together to engineer a functional boat that will float and sail across water without sinking. Once teams have finished making their boats, they will create a presentation to explain why their boat is the best, before putting their boats to the test. The final challenge will have teams racing their boats to test their durability! Nothing says problem-solving like having to make sure you don’t sink into the water!

egg drop is a great team building problem solving activity

Every day at work, you’re forced to make countless decisions – whether they’re massively important or so small you barely think about them.  

But your ability to effectively make decisions is critical in solving problems quickly and effectively.  

With a classic team building problem solving activity like the Egg Drop, that’s exactly what your team will learn to do. 

For this activity, you’ll need some eggs, construction materials, and a place you wouldn’t mind smashing getting dirty with eggshells and yolks.  

The goal of this activity is to create a contraption that will encase an egg and protect it from a fall – whether it’s from standing height or the top of a building. But the challenge is that you and your team will only have a short amount of time to build it before it’s time to test it out, so you’ll have to think quickly! 

To make it even more challenging, you’ll have to build the casing using only simple materials like: 

  • Newspapers 
  • Plastic wrap
  • Rubber bands
  • Popsicle sticks
  • Cotton balls

Feel free to have some fun in picking the materials. Use whatever you think would be helpful without making things too easy! 

Give your group 15 minutes to construct their egg casing before each team drops their eggs. If multiple eggs survive, increase the height gradually to see whose created the sturdiest contraption.  

If you’re not comfortable with the idea of using eggs for this activity, consider using another breakable alternative, such as lightbulbs for a vegan Egg Drop experience. 

solving a crime is a great way to practice problem solving skills

With Clue Murder Mystery, your team will need to solve the murder of a man named Neil Davidson by figuring out who had the means, motive, and opportunity to commit the crime.

But it won’t be easy! You’ll need to exercise your best problem-solving skills and channel your inner detectives if you want to keep this case from going cold and to get justice for the victim.

do a spaghetti tower for team building problem solving activity

Collaboration is critical to problem solving. 

Why? Because, as the old saying goes, the whole is greater than the sum of its parts. This expression reflects the fact that people are capable of achieving greater things when they work together to do so. 

If you’re looking for a team building problem solving activity that helps boost collaboration, you’ll love Marshmallow Spaghetti Tower.  

This game involves working in teams to build the tallest possible freestanding tower using only marshmallows, uncooked spaghetti, tape, and string.  

The kicker? This all has to be done within an allotted timeframe. We recommend about thirty minutes.  

For an added dimension of challenge, try adding a marshmallow to the top of the tower to make it a little more top heavy.  

Whichever team has the highest tower when time runs out is the winner! 

corporate escape rooms are unique team building problem solving activities

If you’ve never participated in an escape room, your team is missing out! It’s one of the most effective team building problem solving activities out there because it puts you and your colleagues in a scenario where the only way out is collaboratively solving puzzles and deciphering clues.  

The principle is simple: lock your group in a room, hide the key somewhere in that room, and have them work through challenges within a set time frame. Each challenge will lead them one step closer to finding the key and, ultimately, their escape.    

At Outback, we offer “done-for-you” escape rooms where we’ll transform your office or meeting room so you don’t have to worry about:

  • Seeking transportation for your team 
  • Capacity of the escape rooms  
  • High costs 
  • Excessive planning  

That way, you and your team can simply step inside and get to work collaborating, using creative problem solving, and thinking outside the box.   

wild goose chase is a great scavenger hunt problem solving team building activity for work

In this smartphone-based scavenger hunt team building activity , your group will split into teams and complete fun challenges by taking photos and videos around the city. Some examples of challenges you can do in this activity are:

  • Parkour:  Take a picture of three team members jumping over an object that’s at least waist-high.
  • Beautiful Mind:  Snap a photo of a team member proving a well-known mathematical theorem on a chalkboard.
  • Puppy Love:  Take a photo of all of your team members petting a stranger’s dog at the same time.

It takes a ton of critical thinking and problem-solving to be crowned the Wild Goose Chase Champions!

your teammates will love lost at sea team building activity

Can you imagine a higher-pressure situation than being stranded at sea in a lifeboat with your colleagues? 

With this team building problem solving activity, that’s exactly the situation you and your group will put yourselves. But by the time the activity is over, you’ll have gained more experience with the idea of having to solve problems under pressure – a common but difficult thing to do. 

Here’s how it works. 

Each team member will get a six-columned chart where: 

  • The first column lists the survival items each team has on hand (see the list below) 
  • The second column is empty so that each team member can rank the items in order of importance for survival  
  • The third column is for group rankings  
  • The fourth column is for the “correct” rankings, which are revealed at the end of the activity 
  • The fifth and sixth columns are for the team to enter thee difference between their individual and correct scores and the team and correct rankings 

Within this activity, each team will be equipped with the following “survival items,” listed below in order of importance, as well as a pack of matches:  

  • A shaving mirror (this can be used to signal passing ships using the sun) 
  • A can of gas (could be used for signaling as it could be put in the water and lit with the pack of matches) 
  • A water container (for collecting water to re-hydrate ) 
  • Emergency food rations (critical survival food) 
  • One plastic sheet (can be helpful for shelter or to collect rainwater) 
  • Chocolate bars (another food supply) 
  • Fishing rods (helpful, but no guarantee of catching food) 
  • Rope (can be handy, but not necessarily essential for survival) 
  • A floating seat cushion (usable as a life preserver)  
  • Shark repellant (could be important when in the water) 
  • A bottle of rum (could be useful for cleaning wounds) 
  • A radio (could be very helpful but there’s a good chance you’re out of range) 
  • A sea chart (this is worthless without navigation equipment) 
  • A mosquito net (unless you’ve been shipwrecked somewhere with a ton of mosquitos, this isn’t very useful) 

To get the activity underway, divide your group into teams of five and ask each team member to take ten minutes on their own to rank the items in order of importance in the respective column. Then, give the full team ten minutes as a group to discuss their individual rankings together and take group rankings, listed in that respective column. Ask each group to compare their individual rankings with those of the group as a whole. 

Finally, read out the correct order according to the US Coast Guard, listed above.  

The goal of this activity is for everyone to be heard and to come to a decision together about what they need most to survive.  

If your team works remotely, you can also do this activity online. Using a video conferencing tool like  Zoom , you can bring your group together and separate teams into “break-out rooms” where they’ll take their time individually and then regroup together. At the end, you can bring them back to the full video conference to go through the answers together. 

colleagues thinking outside the box with a domino effect challenge team building problem solving activity

Many problems are intricately complex and involve a ton of moving parts. And in order to solve this type of problem, you need to be able to examine it systematically, one piece at a time.  

Especially in the business world, many problems or challenges involve multiple different teams or departments working through their respective portions of a problem before coming together in the end to create a holistic solution. 

As you can imagine, this is often easier said than done. And that’s why it’s so important to practice this ability.  

With a collaborative team building problem solving activity like Domino Effect Challenge, that’s exactly what you’ll need to do as you and your group work to create a massive, fully functional chain reaction machine. 

Here’s how it goes. 

Your group will break up into teams, with each team working to complete their own section of a massive “Rube Goldberg” machine. Then, all teams will regroup and assemble the entire machine together. You’ll need to exercise communication, collaboration, and on-the-fly problem solving in order to make your chain reaction machine go off without a hitch from start to finish. 

reverse pyramid is a team building activity that makes colleagues think about problems in new ways

Being a great problem-solver means being adaptable and creative. And if you’re looking for a quick and easy team building problem solving activity, you’ll love the reverse pyramid. 

The idea here is simple: break your group out into small teams and then stand in the form of a pyramid.  

Your challenge is to flip the base and the peak of the pyramid – but you can only move three people in order to do so.  

Alternatively, rather than doing this activity with people as the pyramid, you can do another version –  the Pyramid Build  – using plastic cups instead.   

This version is a little bit different. Rather than flipping the base of a pyramid to the top, you’ll need to build the pyramid instead–but in reverse, starting from the top cup and working down. 

With this version, you’ll need 36 cups and one table per group. We recommend groups of five to seven people. Give your group 20 to 30 minutes to complete the activity. 

To get started, place one cup face down. Then, lift that cup and place the subsequent two cups underneath it. 

The real challenge here? You can only lift your pyramid by the bottom row in order to put a new row underneath – and only one person at a time can do the lifting. The remaining group members will need to act quickly and work together in order to add the next row so that it will balance the rest of the pyramid. 

If any part of your pyramid falls, you’ll need to start over. Whichever team has the most complete pyramid when time runs out will be the winner!  

solving a crime is a great way for team members to use problem solving skills

The value of being able to approach problems analytically can’t be overstated. Because when problems arise, the best way to solve them is by examining the facts and making a decision based on what you know. 

With CI: The Crime Investigators, this is exactly what your team will be called upon to do as you put your detective’s hats on and work to solve a deadly crime. 

You’ll be presented with evidence and need to uncover and decipher clues. And using only the information at your disposal, you’ll need to examine the facts in order to crack the case. 

Like many of our team building problem solving activities, CI: The Crime Investigators is available in a hosted format, which can take place at your office or an outside venue, as well as a virtually-hosted format that uses video conferencing tools, or a self-hosted version that you can run entirely on your own.  

team pursuit team building is great for problem solving skills

Each member of your team has their own unique strengths and skills. And by learning to combine those skills, you can overcome any challenge and solve any problem. With Team Pursuit, you and your team together to tackle challenges as you learn new things about one another, discover your hidden talents, and learn to rely on each other.

This team building problem solving activity is perfect for high-energy groups that love to put their heads together and work strategically to solve problems as a group.

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Collaborate with your colleague to design and build different segments of a bridge. At the end, see if the sections come together to create a free-standing structure!   

domino effect challenging is a brain busting winter team building activity

Together as a group, see if you and your colleagues can build a gigantic “chain-reaction” machine that really works!

In smaller groups, participants work together to solve the challenge of creating sections of the machine using miscellaneous parts, and at the end, you’ll have to collaborate to connect it all together and put it in motion.

The case is fresh, but here’s what we know so far: we’ve got an up-and-coming actress who’s been found dead in her hotel room following last night’s awards show.

We have several suspects, but we haven’t been able to put the crime on any of them for sure yet. Now, it’s up to you and your team of detectives to crack the case. Together, you’ll review case files and evidence including police reports, coroners’ reports, photo evidence, tabloids, interrogations, and phone calls as you determine the motive, method, and murderer and bring justice for the victim.

You’ll need to put your problem-solving skills to the test as you share theories, collaborate, and think outside the box with your fellow investigators.

code break is a cerebral indoor team building activity

Using Outback’s app, split up into small groups and put your heads together to solve a variety of puzzles, riddles, and trivia. The team who has completed the most challenges when time is up, wins!

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Can you stay afloat in a body of water in a boat made entirely of cardboard? Now that is a problem that urgently needs solving.

With this team building problem solving activity, you and your colleagues will split into groups and create a cardboard boat made out of just the materials provided – cardboard and tape.

Team members will have to work together to engineer a functional boat that will float and sail across water without sinking. Once teams have finished making their boats, they will create a presentation to explain why their boat is the best, before putting their boats to the test. The final challenge will have teams racing their boats across the water!

colleagues doing a virtual team building problem solving activity

If you and your team are working remotely, don’t worry. You still have a ton of great virtual team building problem solving options at your disposal.

virtual escape room mummys curse

In this virtual escape room experience, your team will be transported into a pyramid cursed by a restless mummy. You’ll have to work together to uncover clues and solve complex challenges to lift the ancient curse.

team members doing a fun virtual clue murder mystery

You’ve probably never heard of a man named Neil Davidson. But your group will need to come together to solve the mystery of his murder by analyzing clues, resolving challenges, and figuring out who had the means, motive, and opportunity to commit a deadly crime. 

This activity will challenge you and your group to approach problems analytically, read between the lines, and use critical thinking in order to identify a suspect and deliver justice.  

escape rooms are fun and unique team building problem solving activities

If you and your team like brainteasers, then Virtual Escape Room: Jewel Heist will be a big hit.  

Here’s the backstory.

There’s been a robbery. Someone has masterminded a heist to steal a priceless collection of precious jewels, and it’s up to you and your team to recover them before time runs out.

Together, you’ll need to uncover hidden clues and solve a series of brain-boggling challenges that require collaboration, creative problem-solving, and outside-the-box thinking. But be quick! The clock is ticking before the stolen score is gone forever.

try virtual code break as a way to use problem solving skills with teammates

With Virtual Code Break, you and your team can learn to be adaptive and dynamic in your thinking in order to tackle any new challenges that come your way. In this activity, your group will connect on a video conferencing platform where your event host will split you out into teams. Together, you’ll have to adapt your problem-solving skills as you race against the clock to tackle a variety of mixed brainteaser challenges ranging from Sudoku to puzzles, a game of Cranium, riddles, and even trivia. 

Curious to see how a virtual team building activity works? Check out this video on a Virtual Clue Murder Mystery in action. 

trivia is a great problem solving activity for colleagues

Step into the Outback Time Machine and take a trip through time, from pre-pandemic 21st century through the decades all the way to the 60’s. 

This exciting, fast-paced virtual trivia game, packed with nostalgia and good vibes, is guaranteed to produce big laughs, friendly competition, and maybe even some chair-dancing. 

Your virtual game show host will warm up guests with a couple of “table hopper rounds” (breakout room mixers) and split you out into teams. Within minutes, your home office will be transformed into a game show stage with your very own game show buzzers! 

And if your team loves trivia, check out our list of the most incredible virtual trivia games for work teams for even more ideas.

6.  Virtual Jeoparty Social

Virtual Jeoparty Social is a fun high energy virtual team building activity

If your remote team is eager to socialize, have some fun as a group, and channel their competitive spirit, we’ve got just the thing for you! With Virtual Jeoparty Social, you and your colleagues will step into your very own virtual Jeopardy-style game show—equipped with a buzzer button, a professional actor as your host, and an immersive game show platform! Best of all, this game has been infused with an ultra-social twist: players will take part in a unique social mixer challenge between each round. 

With the right team building problem solving activities, you can help your team sharpen their core skills to ensure they’re prepared when they inevitably face a challenge at work. And best of all, you can have fun in the process. 

Do you have any favorite team building activities for building problem-solving skills? If so, tell us about them in the comments section below! 

Learn More About Team Building Problem Solving Activities  

For more information about how your group can take part in a virtual team building, training, or coaching solution, reach out to our Employee Engagement Consultants.     

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I love how this blog provides a variety of problem-solving activities for team building. It’s a great resource for anyone looking to foster teamwork and collaboration!

Home » Games » 17 Fun Problem Solving Activities & Games [for Kids, Adults and Teens]

17 Fun Problem Solving Activities & Games [for Kids, Adults and Teens]

Everyone should learn problem solving, as it is important in both our personal and professional lives. Problems occur all around us and many people react with spontaneous emotion. Instead, effective use of problem solving skills can lead to rational thinking, a component of any successful endeavor.

Creative problem involves using one or more of the basic steps of problem solving in exercises designed to challenge the thinking. Problem solving activities work for every age group. In this article, we will present problem-solving activities for adults and kids. We will also provide you with group and team building problem solving ideas.

Table of Contents

There are four basic steps in problem solving:

  • define the problem
  • generate possible solutions
  • evaluate and select possible solutions
  • implement solutions

Problem solving activities use one of more of these steps.

Group Problem Solving Activities

Group activities provide an effective way to learn problem-solving skills. The following list of activities present problem solving skills in the form of games, a non-threatening and fun way.

Divide your group into teams of equal numbers. Give each team a ball of yarn. Instruct the teams to create a web using only the yarn. Once the teams have finished (you may have to set an amount of time for completion), switch the teams around so that every team has a web other than their own. Each team then blindfolds one team member. The goal is for the blindfolded individual to unwind the web following the verbal instruction of their teammates. In order to be successful, team members must concentrate, and give/follow directions. The first team that has dismantled the web wins this game.

To Do Scavenger Hunt

This scavenger hunt game involves solving a list of problem activities. Begin by dividing your group into teams. Give each group a list of to do activities. The list should begin with some simple tasks, with increasingly more difficult activities. Some suggested activities are:

  • Write a one hundred word poem on a given theme.
  • Find an object readily available in the area in which you are playing
  • Drink a whole can or glass of a liquid
  • Solve a Sudoku or cross word puzzle
  • Write out all the lyrics of a song (a Christmas carol works well at holiday time)

The team that completes all the activities first, wins.

Impromptu Skits

Prior to playing this game, write down a few appropriate situations that deal events in the venue in which you are playing. For example, for a group involved in customer service, use dealing with an angry customer on the phone. If you have a large group, divide them into teams of six to eight members. Have each group choose a folded piece of paper on which you have written the subject of a skit they must create.  Give a set amount of time to prepare the skit and then have each team present their skit to the group. If you have a small group, have each person create one side of a conversation dealing with the problem for presentation to everyone.

Block Duplicating

Build a model out of building blocks. Provide each group member (or divide into teams for a large group ) enough blocks to duplicate the model. Set a specific amount of time for completing the duplicated model. The team that is the first to finish – or gets the furthest on completing their model – wins. The more difficult the original model, the longer this task will take.

Team Building Problem Solving Activities

When choosing team building problem solving activities, make sure the game you use suits the group of people – their ages and interests. The activities we have listed will help with not only problem solving, but also build decision making, collaboration, and listening skills.

Tower Building

Although there are many variations to this game, this one using spaghetti and marsh mellows is our favorite. Divide you group into teams with an equal number of players. Provide each team with an equal amount of spaghetti and marsh mellows. The goal is to see which team can build the highest tower within a set amount of time.

Personalized Crossword

For this game to be effective, you need one or more teams of 8 to 10 people. Have each team list the first and last names of their group members. The goal is to create a crossword puzzle with clues composed of hints about the person, for example, if only one team member has red hair, the two clues for her first and last name could be, “Red hair,” and “Ginger.” It should take each team 20 to 30 minutes to complete their puzzle. When all the teams are finished, trade puzzles so that every team has a different one. Make sure you provide a list of names for the puzzle solvers.

Picture Pieces Puzzle Game

Prepare for this problem solving activity by choosing a well-known picture or cartoon full of detail. Cut the picture into equal sized squares and give one to each member of the group. You will need as many pieces as you have participants. Additionally, give each person a pencil, ruler for help enlarging the picture, colored markers, and a clean sheet of paper. Instruct them to make the puzzle piece five times larger.

Problem Solving Activities for Adults

Divide your group into two teams. Line up the two teams front to back. Have the two groups face each other. Using chalk, spray paint, or masking tape (depending on the play surface) mark a square space for each person to stand on with one extra empty space between the two facing rows. You may also use a piece of paper for each person. The goal is for the two facing lines of players to change places.

Place these restrictions on movement:

  • Only one person may move at a time.
  • A person may not move around anyone facing the same direction.
  • A person may not move backward.
  • A person may not move around more than one person on the other team at a time.

Playing Card Mix-up

Divide your group into teams of six to eight participants. Give each team two decks of cards randomly mixed together. Tell the group they must sort them out without talking. As they working at the task, after a few minutes, change the way in which they are doing so using one of the following:

  • If a team is sorting by suits from ace to king (4 stacks), tell them to collect the suits together by number (13 stacks).
  • If a team begins by collecting the suits together, i.e. all the ones, twos, threes, etc., tell them to sort the suits from ace to king.

The team(s) that do so successfully by the end of a given time (depending on the size of your group) share what methods they used to accomplish the task.

Blindfolded games are always fun and provide the perfect challenge for adult problem solving. We have provided two for you.

Blind Formations

Have your group of adults put on blindfolds and form a large circle. Tie the ends of a rope together and lay in it a circle in the middle of the group, close enough that each person can reach down and pick up the rope. Tell them they must create a shape – a square, triangle, pentagon, etc. If you have a very large group, divide them into teams and provide a rope for each team. Let them compete to see who forms a particular shape quickest.

Line up Blind

Blindfold everyone and number the group by whispering a number to each individual beginning at one. Tell them to line up in numerical order without talking. Variations are many, with some of the favorites not requiring the whispering step being to line up according to height, birthday, surname, color of hair, etc.

Balloon Tower

Divide you group into teams of three and provide ten balloons and four 3-foot long strips of masking tape for each team. The object of this problem solving activity is to build the tallest freestanding tower in ten minutes. They can break the balloons if they wish. However, they may not use any additional materials and the tower must be built on a table or the floor. If you wish, you may add the following instructions:

  • No talking.
  • Each team member may use only one hand.
  • One team member may not touch the materials and only give directions.

You can use one or more of these limitations in 60-second intervals. The first team to complete their tower wins this challenge.

Problem Solving Activities for Kids

The purpose of problem solving activities for kids is to get kids to think about a problem in a different way and have fun while solving it. Children will develop their creativity as they seek to implement a solution.

Walking the Plank

For this problem solving activity for older kids or teens, you will need four 2×6 boards. Divide your group into two teams with an equal number of children on each team. Place two of the four boards end to end on the ground or floor. Set the other two parallel to the first two about two or three feet apart. The goal is for each team to pass one board forward while standing on the other board in single file. If someone steps off a board, the team must start over. The team that succeeds in passing the boards a set number of times, or reaches a predetermined spot is the winner.

“Laser” Web

Use a large ball of string to create a giant web from one end of a room to the other. The goal is for individuals or teams to move through the web without touching the string. If they do so, they have been “zapped by a laser” and must try again. For greater suspense and for older players, use blindfolds or turn off the lights, allowing players to touch the string, but not pull it down or out of its original shape.

Group Drawing

Divide your group of kids into teams of three. Each person on the team has a one of the following roles:

  • Drawer . The drawer attempts to recreate a pre-drawn design they cannot see. They take directions from the talker. They stand with their back to the talker and viewer and may not talk.
  • Talker . The talker describes the design to the drawer, without seeing the design. They may question the viewer. They may not use hand gestures.
  • Viewer . The viewer sees the design. However, they are not allowed to talk and must communicate nonverbally to the talker.  Additionally, they must not draw the design in the air or actually show the design with their gestures.

The activity ends when the viewers say they are satisfied with the drawings. You may wish to award a prize to the best drawing.

Prior to playing this game, write on individual slips of paper the names of animal pairs, one name on each slip. Distribute the slips of paper to each group, instructing them not to share which animal name they received. The kids then move around performing activities their animal might do. The goal is for the kids to get into pairs successfully in a set amount of time without talking or making any noises. Suggest the following activities:

  • Cleaning or grooming
  • Eating and drinking
  • Walking or running

Alphabet Game

Have your players sit or stand in a circle. The goal is to shout out words in alphabetical order. Give the kids one of the following categories (or choose your own):

If a player takes longer than five seconds to think of a word, they are out. The last player remaining wins the game.

People achieve more when they solve problems and make decisions together. Our problem solving activities teach participants how to work out a solution, a talent useful in many different environments. Problem solving:

  • Improves team work
  • Helps participants address complex situations
  • Utilizes different thinking styles
  • Increases creativity
  • Collectively leads to decision making
  • Teaches both negotiation and cooperation

After completing a problem solving activity, encourage participants to discuss what process(es) they used in the exercise. Even kids are able to participate in such discussions. Also ask what was learned and if they have any opinions about how they could have solved the problem more efficiently.

Team-building exercises can improve problem solving and decision making in a new or established team. They work with every age group and in many different environments. Use our exercises to help solve problems and have some fun doing so.

Susan majored in English with a double minor in Humanities and Business at Arizona State University and earned a Master’s degree in Educational Administration from Liberty University. She taught grades four through twelve in both public and private schools. Subjects included English, U.S. and world history and geography, math, earth and physical science, Bible, information technologies, and creative writing.

Susan has been freelance writing for over ten years, during which time she has written and edited books, newspaper articles, biographies, book reviews, guidelines, neighborhood descriptions for realtors, Power Point presentations, resumes, and numerous other projects.

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Thanks for your help!!

excellent ideas – thanks !

Excellent ideas.

Thank you. My students have requested we do team-building activities; I thought we would start with problem-solving.

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8 consistent behaviors of practically perfect problem solvers.

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This past month I celebrated my 42nd anniversary with my dear wife. One of her finest qualities is her ability to solve problems. I admit, while I like to analyze and contemplate the various approaches to solving a problem, she just gets it done. It turns out she is not the only female with this fantastic quality. According to our database, there is a trend among male and female leaders in solving problems.

In a dataset of over 47,000 men and 24,000 women leaders, men were rated higher on their technical/professional acumen. Still, women were rated higher on their ability to solve problems. The data came from 360-degree evaluations on each leader with an average of 13 assessments from their manager, peers, direct reports, and others. The graph below displays those results that were statistically significant. 

ZFCO Study 2021- Problem Solving/Technical Expertise Scores

How These Skills Were Evaluated 

I evaluated Technical/Professional Acumen by evaluating if people sought after the leader's opinions, had knowledge and skills that help achieve team results and if their ideas were trusted because of their in-depth knowledge. 

Problem Solving was evaluated by assessing the leader's ability to anticipate and respond quickly to problems, was trusted to use good judgment in making decisions, and their ability to spot new trends and opportunities early.

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Understanding the Results

The results for the analysis were confusing because it was clear that being rated better at technical expertise should give men an advantage at solving problems. 

To verify the results, I re-ran the data with more of an experimental design selecting only 50% of the cases for the analysis. In the experimental design, the results yielded the same conclusions. Technical/Professional Expertise rated significantly higher for men (T-Value 2.276, Sig. 0.023). Problem Solving rated significantly higher for women (T-Value 2.432, Sig. 0.015).

So... What Does This Mean?

To better understand what created the differences in the results on Problem Solving, I analyzed the top behaviors highly correlated with problem-solving. Why? Because these were behaviors that would impact the perceptions about HOW problems were solved. I then compared the results for men versus women on 16 behaviors and found that 12 behaviors showed significant differences between men and women. Four of the behaviors were rated more positively for men, and eight were rated more positively for women. The graph below shows the 12 items that were significantly different for women and men. The items that were significantly different for men clustered around two issues. Technical/Professional expertise was rated significantly higher on two items and can influence problem-solving ability. The two other items focused on strategic perspective. Having the ability to understand how a problem connects to the vision and direction of the organization was a skill that also helped men solve problems. While these four behaviors were helpful for men, the eight behaviors that women performed more effectively made a bigger difference in the results.

In the end, regardless of men or women, these behaviors teach us some essential requirements for practical problem-solving that we ALL need to improve!

8 Behaviors of Practically Perfect Problem Solvers

What is evident in this analysis is that having an excellent solution to a problem, and a clear context for how that solution aligns with the strategy, are not the only two issues that impact a leader's expertise in problem-solving. Once again, the behaviors listed below influenced the PERCEPTIONS of others on problem-solving. So, what do others perceive these practically perfect problem-solvers to do?

ZFCO Problem Solving Study (2021)

1.       They get it done right away . In other studies comparing men and women leaders, we have found that this competency consistently shows the most significant difference between genders. It is easy for problems to get put on the "I will do that later list." It seems we can learn a lot from the women in our lives that take on problems sooner and invest more energy to get them corrected. 

2.       They model this behavior to those around them . If you want to change the way others perceive you in that behavior, you need to be considered the role model for it. Be consistent. Those who are good role models are more trusted. 

3.       They don't work on problems alone . Many problems in an organization flow across multiple groups and cannot be resolved without collaboration. Women were rated as better at collaboration. Men tended to act more independently. If you're going to solve a problem quickly, involve those around you and share the glory. 

4.       They know how to explain the problem and solution effectively.  A significant part of solving any problem is having good communication between everyone impacted by the problem. The first benefit of good communication is that it helps everyone understand the problem, when it occurs, and why it occurs. Second, the solution needs to be communicated to all involved parties. 

5.       They can influence others to stretch their abilities to solve the problem.   Many problems are hard to solve and require that people do something differently than they have done in the past. This requires you to be more skillful at getting others to step up and stretch to accomplish difficult goals.

6.       They quickly recognize where change is needed.  It is easy to ignore many problems. It's harder to identify where change is needed and do something about it quickly. 

7.       They know how to focus on top priorities.  We cannot fix everything, so concentrating on top priorities makes it possible for an organization to change the most pressing issues. 

8.       They understand the full context.  Solving problems requires that all people affected know how their role impacts the problem to be solved. Solving problems is more than just coming up with an excellent solution. 

Aren't you grateful for the problem solvers in your life? Problems can be stressful, overwhelming, and many of us want to pretend they don't exist. We want to hide them in a corner and tiptoe around them, pretending they are not there, and if we don't give them attention, they will walk away. They won't. 

Problems get solved when someone takes the initiative to fix the problem, understands their role in the solution, and cooperates. Problem-solving frequently requires the efforts and involvement of others. If you have a significant problem that needs to be solved in your organization, be the person that doesn’t just understand the problem but solves it.

Joseph Folkman

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What is Problem Solving? (Steps, Techniques, Examples)

By Status.net Editorial Team on May 7, 2023 — 5 minutes to read

What Is Problem Solving?

Definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

  • Identify the issue : Recognize the problem that needs to be solved.
  • Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
  • Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
  • Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
  • Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
  • Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
  • Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

  • Brainstorming with others
  • Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
  • Analyzing cause and effect
  • Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

  • Creating a list of potential ideas to solve the problem
  • Grouping and categorizing similar solutions
  • Prioritizing potential solutions based on feasibility, cost, and resources required
  • Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

  • SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
  • Decision-making matrices
  • Pros and cons lists
  • Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

  • Communicating the solution to relevant parties
  • Setting timelines and milestones
  • Assigning tasks and responsibilities
  • Monitoring the solution and making adjustments as necessary
  • Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

  • Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
  • Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
  • SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
  • Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

  • Generate a diverse range of solutions
  • Encourage all team members to participate
  • Foster creative thinking

When brainstorming, remember to:

  • Reserve judgment until the session is over
  • Encourage wild ideas
  • Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

  • 5 Whys : Ask “why” five times to get to the underlying cause.
  • Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
  • Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

  • List your problem’s strengths, such as relevant resources or strong partnerships.
  • Identify its weaknesses, such as knowledge gaps or limited resources.
  • Explore opportunities, like trends or new technologies, that could help solve the problem.
  • Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

  • Write the problem in the center of a blank page.
  • Draw branches from the central problem to related sub-problems or contributing factors.
  • Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

  • Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
  • Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
  • Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

  • Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
  • Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
  • Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

  • Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
  • Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
  • Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
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Amazing Algebra Facts To Make You Better At Problem Solving

One of the most basic branches of mathematics is Algebra.

The majority of math is just trying to solve, and provide reasoning for, different properties that abstract notions have.

These abstract notions can be with the use of lines or natural numbers. They can also be entities that are defined by properties that are basically known as axioms.

Mathematics is a word with Greek roots meaning study, knowledge, and learning. Math includes various different topics such as number theory, arithmetic, formulas, algebra, spaces and shapes (known as geometry), and calculus.

In general, there is no specific consensus that defines the epistemological status or exact scope. If you enjoy reading about the fun of solving and learning algebra, read on to learn more about some basic formulas, history, and more about math!

The History Of Algebra

Algebra is a part of mathematics that concerns the study of relation, quantity, and structure. It can be said that algebra is almost like learning another language.

Learning just simple and basic algebra can enable us to learn and solve the problems of the modern world by understanding them better. Such problems cannot be solved by using simple arithmetic, instead, algebra uses symbols and words to make statements.

The familiar concept of real-life word problems can be transformed into mathematical equations for us to find the correct answer!

We can trace back the origin of algebra to the ancient colony of Babylonians. They had developed a system of arithmetic called Babylonian mathematics, which helped them to calculate and make algorithms to solve problems.

These systems that they had developed were very advanced.

The Babylonians were able to solve complex problems that we can today solve by using quadratic equations, linear equations, and indeterminate linear equations. The Greeks, Chinese, and Egyptians in the 1st millennium BC were solving mathematic equations including rhetorical algebra, abstract algebra, or advanced mathematics concepts.

They would do this with the use of different methods, which can be seen described in Euclid's 'Elements', 'The Nine Chapters', and the 'Rhind Mathematical Papyrus and on the Mathematical Art'.

It is said that Muhammad ibn Musa al-Khwarizmi who was a mathematician, was the first to invent the word algebra. He is known today as the father of algebra.

The Basics Of Algebra

Various different areas and fields of specialization like engineering, natural science, finance, medicine, and social sciences need to use basic arithmetic operations and mathematics for systematic exploration. Some mathematical applications have been developed into different fields, and people have made careers out of it, for example, statistics and game theory!

These parts of mathematics are often known as the field of applied mathematics.

Some mathematics is not specifically derived due to its application or need for a solution, such math is known as pure math. This is independent of any applications.

However, much of the time, practical applications are found in or used in many cases once they are discovered. One of the most famously known examples of this is the factorization of integers. This goes back to the mathematician, Euclid.

Factorization did not have any practical applications immediately after its discovery. In fact, it was rarely used before we found it had a major application in computer networks!

Algebra uses many symbols in arithmetical operations where operators are used. Algebra is a very interesting topic and a subject we use in our day-to-day life unconsciously! For example, we do calculations in grocery stores while buying produce.

Algebra is also a basic skill we need to further our knowledge in calculus or statistics. We can also make a career in it. Students might find algebra equations difficult as they require logical analysis and complex thinking, but with practice, anyone can become good at algebra!

What are the different algebra theorems?

Before the period known as Renaissance in the middle ages, the field of math was divided into two different parts; one part was arithmetic. Arithmetic was basically the usage of numbers, number systems, and its manipulation to solve linear algebra, algebraic expressions, or advanced algebra, which we even use today in modern algebra.

The second part was geometry which is the study of different geometric shapes giving rise to geometric methods.

Some other fields, such as astrology and numerology, were also studied during that time. However, they were not properly differentiated from the remaining mathematics.

Some of the most common and well-known algebra theorems in linear algebra include the Hawkins–Simon condition, the fundamental theorem of linear algebra, rank–nullity theorem, Rouché–Capelli theorem, and Cramer's rule. Some famous theorems in abstract algebra for abstract structure are Cartan's theorem, primitive element theorem, Eckmann–Hilton argument, and fundamental lemma (also called Langlands program).

What are the different algebra formulas?

Applied mathematics is a branch of math that deals with methods commonly used in engineering, science, and industry as well as business.

Hence it can be said that applied math is just mathematical science that contains really concentrated knowledge. This term of applied math can be explained as a specialization for professional mathematicians so they can work on solving real-life problems.

This might then lead to a career that is primarily focused on solving practical problems, especially using the study, formulation, and usage of math models in the fields of engineering and science or other fields where math is used.

The basic properties of algebra can be seen in the form of algebraic equations, symbolic algebra (symbolic language), word algebra equations, algebraic structures, and mathematical symbols.

It can also be seen in the use of a simple equation with the use of general concepts like binary operations, linear equation, elementary equation, equals sign, negative numbers to calculate solutions.

Some of the common properties are the commutative property where a + b = b + a, which means that you can change the sequence of numbers with signs, and the answer will remain the same.

Another property is the commutative property of a multiplication operation, which is simply a × b = b × a.

Associate property of addition says that a + (b + c) = (a + b) + c, whereas the associative property of multiplication can be explained as a × (b × c) = (a × b) × c. The distributive property is known as a × (b + c) = a × b + b × c or a × (bc) = a × b - a × c which will give the same solution of each side.

Some basic and commonly used algebraic properties are the reciprocal property where a = 1/a or 1/b= b(a, b are the inverse elements), the multiplicative identity of a × 1 = 1 × a = a, the additive identity in algebra where a + 0 = 0 + a = a and the additive inverse where a + (-a) = 0.

Here we can see the three rules of algebra which the commutative, associative, and distributive laws!

Fun Facts About Algebra

Sometimes mathematics is utilized because of curiosity in a specific area or the will to solve complex problems. Such mathematics might only be relevant in the field that used it, but it is also usually applied in solving and providing solutions for other problems which are similar to those areas.

Math which started becoming useful in solving problems in specific areas became a part of the general concepts of math.

Often people distinguish between applied math and pure math. But pure math often has many real-world applications, such as the usage of number theory in the field of cryptography.

Elementary algebra is one of the most commonly known and learned forms of basic algebra. This basic mathematics is taught from the very beginning to students who possess almost zero knowledge of math except for the arithmetic functions. Arithmetic is the area where only the basic operations, which are -, +, ÷, x, and numbers, are used.

Variables are symbols in algebra that are used to hold a place.

Variables can be defined as any terms such as a, z, x, y.

This is very useful due to the fact that it allows us to formulate the general and basic laws of arithmetic like a + b = b + a, which eventually leads us the formulate the general and basic laws of arithmetic for all values of b or an in the properties of the number systems which are real.

Having variables also allows us to use numbers that are essentially unknown.

This is very useful when we have equations where we know all the numbers except one. For example, we can solve the value of variable x in the equation 2x -4 = 10.

Hence it becomes easy to break down the equation into smaller parts without changing its meaning and keeping the variable intact.

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40 problem-solving techniques and processes

Problem solving workshop

All teams and organizations encounter challenges. Approaching those challenges without a structured problem solving process can end up making things worse.

Proven problem solving techniques such as those outlined below can guide your group through a process of identifying problems and challenges , ideating on possible solutions , and then evaluating and implementing the most suitable .

In this post, you'll find problem-solving tools you can use to develop effective solutions. You'll also find some tips for facilitating the problem solving process and solving complex problems.

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What is problem solving?

Problem solving is a process of finding and implementing a solution to a challenge or obstacle. In most contexts, this means going through a problem solving process that begins with identifying the issue, exploring its root causes, ideating and refining possible solutions before implementing and measuring the impact of that solution.

For simple or small problems, it can be tempting to skip straight to implementing what you believe is the right solution. The danger with this approach is that without exploring the true causes of the issue, it might just occur again or your chosen solution may cause other issues.

Particularly in the world of work, good problem solving means using data to back up each step of the process, bringing in new perspectives and effectively measuring the impact of your solution.

Effective problem solving can help ensure that your team or organization is well positioned to overcome challenges, be resilient to change and create innovation. In my experience, problem solving is a combination of skillset, mindset and process, and it’s especially vital for leaders to cultivate this skill.

A group of people looking at a poster with notes on it

What is the seven step problem solving process?

A problem solving process is a step-by-step framework from going from discovering a problem all the way through to implementing a solution.

With practice, this framework can become intuitive, and innovative companies tend to have a consistent and ongoing ability to discover and tackle challenges when they come up.

You might see everything from a four step problem solving process through to seven steps. While all these processes cover roughly the same ground, I’ve found a seven step problem solving process is helpful for making all key steps legible.

We’ll outline that process here and then follow with techniques you can use to explore and work on that step of the problem solving process with a group.

The seven-step problem solving process is:

1. Problem identification 

The first stage of any problem solving process is to identify the problem(s) you need to solve. This often looks like using group discussions and activities to help a group surface and effectively articulate the challenges they’re facing and wish to resolve.

Be sure to align with your team on the exact definition and nature of the problem you’re solving. An effective process is one where everyone is pulling in the same direction – ensure clarity and alignment now to help avoid misunderstandings later.

2. Problem analysis and refinement

The process of problem analysis means ensuring that the problem you are seeking to solve is  the   right problem . Choosing the right problem to solve means you are on the right path to creating the right solution.

At this stage, you may look deeper at the problem you identified to try and discover the root cause at the level of people or process. You may also spend some time sourcing data, consulting relevant parties and creating and refining a problem statement.

Problem refinement means adjusting scope or focus of the problem you will be aiming to solve based on what comes up during your analysis. As you analyze data sources, you might discover that the root cause means you need to adjust your problem statement. Alternatively, you might find that your original problem statement is too big to be meaningful approached within your current project.

Remember that the goal of any problem refinement is to help set the stage for effective solution development and deployment. Set the right focus and get buy-in from your team here and you’ll be well positioned to move forward with confidence.

3. Solution generation

Once your group has nailed down the particulars of the problem you wish to solve, you want to encourage a free flow of ideas connecting to solving that problem. This can take the form of problem solving games that encourage creative thinking or techniquess designed to produce working prototypes of possible solutions. 

The key to ensuring the success of this stage of the problem solving process is to encourage quick, creative thinking and create an open space where all ideas are considered. The best solutions can often come from unlikely places and by using problem solving techniques that celebrate invention, you might come up with solution gold. 

problem solving fun facts

4. Solution development

No solution is perfect right out of the gate. It’s important to discuss and develop the solutions your group has come up with over the course of following the previous problem solving steps in order to arrive at the best possible solution. Problem solving games used in this stage involve lots of critical thinking, measuring potential effort and impact, and looking at possible solutions analytically. 

During this stage, you will often ask your team to iterate and improve upon your front-running solutions and develop them further. Remember that problem solving strategies always benefit from a multitude of voices and opinions, and not to let ego get involved when it comes to choosing which solutions to develop and take further.

Finding the best solution is the goal of all problem solving workshops and here is the place to ensure that your solution is well thought out, sufficiently robust and fit for purpose. 

5. Decision making and planning

Nearly there! Once you’ve got a set of possible, you’ll need to make a decision on which to implement. This can be a consensus-based group decision or it might be for a leader or major stakeholder to decide. You’ll find a set of effective decision making methods below.

Once your group has reached consensus and selected a solution, there are some additional actions that also need to be decided upon. You’ll want to work on allocating ownership of the project, figure out who will do what, how the success of the solution will be measured and decide the next course of action.

Set clear accountabilities, actions, timeframes, and follow-ups for your chosen solution. Make these decisions and set clear next-steps in the problem solving workshop so that everyone is aligned and you can move forward effectively as a group. 

Ensuring that you plan for the roll-out of a solution is one of the most important problem solving steps. Without adequate planning or oversight, it can prove impossible to measure success or iterate further if the problem was not solved. 

6. Solution implementation 

This is what we were waiting for! All problem solving processes have the end goal of implementing an effective and impactful solution that your group has confidence in.

Project management and communication skills are key here – your solution may need to adjust when out in the wild or you might discover new challenges along the way. For some solutions, you might also implement a test with a small group and monitor results before rolling it out to an entire company.

You should have a clear owner for your solution who will oversee the plans you made together and help ensure they’re put into place. This person will often coordinate the implementation team and set-up processes to measure the efficacy of your solution too.

7. Solution evaluation 

So you and your team developed a great solution to a problem and have a gut feeling it’s been solved. Work done, right? Wrong. All problem solving strategies benefit from evaluation, consideration, and feedback.

You might find that the solution does not work for everyone, might create new problems, or is potentially so successful that you will want to roll it out to larger teams or as part of other initiatives. 

None of that is possible without taking the time to evaluate the success of the solution you developed in your problem solving model and adjust if necessary.

Remember that the problem solving process is often iterative and it can be common to not solve complex issues on the first try. Even when this is the case, you and your team will have generated learning that will be important for future problem solving workshops or in other parts of the organization. 

It’s also worth underlining how important record keeping is throughout the problem solving process. If a solution didn’t work, you need to have the data and records to see why that was the case. If you go back to the drawing board, notes from the previous workshop can help save time.

What does an effective problem solving process look like?

Every effective problem solving process begins with an agenda . In our experience, a well-structured problem solving workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

The format of a workshop ensures that you can get buy-in from your group, encourage free-thinking and solution exploration before making a decision on what to implement following the session.

This Design Sprint 2.0 template is an effective problem solving process from top agency AJ&Smart. It’s a great format for the entire problem solving process, with four-days of workshops designed to surface issues, explore solutions and even test a solution.

Check it for an example of how you might structure and run a problem solving process and feel free to copy and adjust it your needs!

For a shorter process you can run in a single afternoon, this remote problem solving agenda will guide you effectively in just a couple of hours.

Whatever the length of your workshop, by using SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

problem solving fun facts

Complete problem-solving methods

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

The Six Thinking Hats   #creative thinking   #meeting facilitation   #problem solving   #issue resolution   #idea generation   #conflict resolution   The Six Thinking Hats are used by individuals and groups to separate out conflicting styles of thinking. They enable and encourage a group of people to think constructively together in exploring and implementing change, rather than using argument to fight over who is right and who is wrong.

Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   It doesn’t matter where you work and what your job role is, if you work with other people together as a team, you will always encounter the same challenges: Unclear goals and miscommunication that cause busy work and overtime Unstructured meetings that leave attendants tired, confused and without clear outcomes. Frustration builds up because internal challenges to productivity are not addressed Sudden changes in priorities lead to a loss of focus and momentum Muddled compromise takes the place of clear decision- making, leaving everybody to come up with their own interpretation. In short, a lack of structure leads to a waste of time and effort, projects that drag on for too long and frustrated, burnt out teams. AJ&Smart has worked with some of the most innovative, productive companies in the world. What sets their teams apart from others is not better tools, bigger talent or more beautiful offices. The secret sauce to becoming a more productive, more creative and happier team is simple: Replace all open discussion or brainstorming with a structured process that leads to more ideas, clearer decisions and better outcomes. When a good process provides guardrails and a clear path to follow, it becomes easier to come up with ideas, make decisions and solve problems. This is why AJ&Smart created Lightning Decision Jam (LDJ). It’s a simple and short, but powerful group exercise that can be run either in-person, in the same room, or remotely with distributed teams.

Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.
Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills. 

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for brainstorming solutions

Now you have the context and background of the problem you are trying to solving, now comes the time to start ideating and thinking about how you’ll solve the issue.

Here, you’ll want to encourage creative, free thinking and speed. Get as many ideas out as possible and explore different perspectives so you have the raw material for the next step.

Looking at a problem from a new angle can be one of the most effective ways of creating an effective solution. TRIZ is a problem-solving tool that asks the group to consider what they must not do in order to solve a challenge.

By reversing the discussion, new topics and taboo subjects often emerge, allowing the group to think more deeply and create ideas that confront the status quo in a safe and meaningful way. If you’re working on a problem that you’ve tried to solve before, TRIZ is a great problem-solving method to help your team get unblocked.

Making Space with TRIZ   #issue analysis   #liberating structures   #issue resolution   You can clear space for innovation by helping a group let go of what it knows (but rarely admits) limits its success and by inviting creative destruction. TRIZ makes it possible to challenge sacred cows safely and encourages heretical thinking. The question “What must we stop doing to make progress on our deepest purpose?” induces seriously fun yet very courageous conversations. Since laughter often erupts, issues that are otherwise taboo get a chance to be aired and confronted. With creative destruction come opportunities for renewal as local action and innovation rush in to fill the vacuum. Whoosh!

Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex. 

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

Idea and Concept Development

Brainstorming without structure can quickly become chaotic or frustrating. In a problem-solving context, having an ideation framework to follow can help ensure your team is both creative and disciplined.

In this method, you’ll find an idea generation process that encourages your group to brainstorm effectively before developing their ideas and begin clustering them together. By using concepts such as Yes and…, more is more and postponing judgement, you can create the ideal conditions for brainstorming with ease.

Idea & Concept Development   #hyperisland   #innovation   #idea generation   Ideation and Concept Development is a process for groups to work creatively and collaboratively to generate creative ideas. It’s a general approach that can be adapted and customized to suit many different scenarios. It includes basic principles for idea generation and several steps for groups to work with. It also includes steps for idea selection and development.

Problem-solving techniques for developing and refining solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to develop and refine your ideas in order to bring them closer to a solution that actually solves the problem.

Use these problem-solving techniques when you want to help your team think through their ideas and refine them as part of your problem solving process.

Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

Ensuring that everyone in a group is able to contribute to a discussion is vital during any problem solving process. Not only does this ensure all bases are covered, but its then easier to get buy-in and accountability when people have been able to contribute to the process.

1-2-4-All is a tried and tested facilitation technique where participants are asked to first brainstorm on a topic on their own. Next, they discuss and share ideas in a pair before moving into a small group. Those groups are then asked to present the best idea from their discussion to the rest of the team.

This method can be used in many different contexts effectively, though I find it particularly shines in the idea development stage of the process. Giving each participant time to concretize their ideas and develop them in progressively larger groups can create a great space for both innovation and psychological safety.

1-2-4-All   #idea generation   #liberating structures   #issue analysis   With this facilitation technique you can immediately include everyone regardless of how large the group is. You can generate better ideas and more of them faster than ever before. You can tap the know-how and imagination that is distributed widely in places not known in advance. Open, generative conversation unfolds. Ideas and solutions are sifted in rapid fashion. Most importantly, participants own the ideas, so follow-up and implementation is simplified. No buy-in strategies needed! Simple and elegant!

15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

Problem-solving techniques for making decisions and planning

After your group is happy with the possible solutions you’ve developed, now comes the time to choose which to implement. There’s more than one way to make a decision and the best option is often dependant on the needs and set-up of your group.

Sometimes, it’s the case that you’ll want to vote as a group on what is likely to be the most impactful solution. Other times, it might be down to a decision maker or major stakeholder to make the final decision. Whatever your process, here’s some techniques you can use to help you make a decision during your problem solving process.

How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

Straddling the gap between decision making and planning, MoSCoW is a simple and effective method that allows a group team to easily prioritize a set of possible options.

Use this method in a problem solving process by collecting and summarizing all your possible solutions and then categorize them into 4 sections: “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”.

This method is particularly useful when its less about choosing one possible solution and more about prioritorizing which to do first and which may not fit in the scope of your project. In my experience, complex challenges often require multiple small fixes, and this method can be a great way to move from a pile of things you’d all like to do to a structured plan.

MoSCoW   #define intentions   #create   #design   #action   #remote-friendly   MoSCoW is a method that allows the team to prioritize the different features that they will work on. Features are then categorized into “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”. To be used at the beginning of a timeslot (for example during Sprint planning) and when planning is needed.

When it comes to managing the rollout of a solution, clarity and accountability are key factors in ensuring the success of the project. The RAACI chart is a simple but effective model for setting roles and responsibilities as part of a planning session.

Start by listing each person involved in the project and put them into the following groups in order to make it clear who is responsible for what during the rollout of your solution.

  • Responsibility  (Which person and/or team will be taking action?)
  • Authority  (At what “point” must the responsible person check in before going further?)
  • Accountability  (Who must the responsible person check in with?)
  • Consultation  (Who must be consulted by the responsible person before decisions are made?)
  • Information  (Who must be informed of decisions, once made?)

Ensure this information is easily accessible and use it to inform who does what and who is looped into discussions and kept up to date.

RAACI   #roles and responsibility   #teamwork   #project management   Clarifying roles and responsibilities, levels of autonomy/latitude in decision making, and levels of engagement among diverse stakeholders.

Problem-solving warm-up activities

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process. Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute. 

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start. 

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems. 

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Closing activities for a problem-solving process

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Tips for effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Create psychologically safe spaces for discussion

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner.

It can be tough for people to stand up and contribute if the problems or challenges are emotive or personal in nature. Try and create a psychologically safe space for these kinds of discussions and where possible, create regular opportunities for challenges to be brought up organically.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

Save time and effort creating an effective problem solving process

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

problem solving fun facts

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

problem solving fun facts

James Smart is Head of Content at SessionLab. He’s also a creative facilitator who has run workshops and designed courses for establishments like the National Centre for Writing, UK. He especially enjoys working with young people and empowering others in their creative practice.

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thank you very much for these excellent techniques

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Certainly wonderful article, very detailed. Shared!

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Your list of techniques for problem solving can be helpfully extended by adding TRIZ to the list of techniques. TRIZ has 40 problem solving techniques derived from methods inventros and patent holders used to get new patents. About 10-12 are general approaches. many organization sponsor classes in TRIZ that are used to solve business problems or general organiztational problems. You can take a look at TRIZ and dwonload a free internet booklet to see if you feel it shound be included per your selection process.

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10 Best Problem-Solving Therapy Worksheets & Activities

Problem solving therapy

Cognitive science tells us that we regularly face not only well-defined problems but, importantly, many that are ill defined (Eysenck & Keane, 2015).

Sometimes, we find ourselves unable to overcome our daily problems or the inevitable (though hopefully infrequent) life traumas we face.

Problem-Solving Therapy aims to reduce the incidence and impact of mental health disorders and improve wellbeing by helping clients face life’s difficulties (Dobson, 2011).

This article introduces Problem-Solving Therapy and offers techniques, activities, and worksheets that mental health professionals can use with clients.

Before you continue, we thought you might like to download our three Positive Psychology Exercises for free . These science-based exercises explore fundamental aspects of positive psychology, including strengths, values, and self-compassion, and will give you the tools to enhance the wellbeing of your clients, students, or employees.

This Article Contains:

What is problem-solving therapy, 14 steps for problem-solving therapy, 3 best interventions and techniques, 7 activities and worksheets for your session, fascinating books on the topic, resources from positivepsychology.com, a take-home message.

Problem-Solving Therapy assumes that mental disorders arise in response to ineffective or maladaptive coping. By adopting a more realistic and optimistic view of coping, individuals can understand the role of emotions and develop actions to reduce distress and maintain mental wellbeing (Nezu & Nezu, 2009).

“Problem-solving therapy (PST) is a psychosocial intervention, generally considered to be under a cognitive-behavioral umbrella” (Nezu, Nezu, & D’Zurilla, 2013, p. ix). It aims to encourage the client to cope better with day-to-day problems and traumatic events and reduce their impact on mental and physical wellbeing.

Clinical research, counseling, and health psychology have shown PST to be highly effective in clients of all ages, ranging from children to the elderly, across multiple clinical settings, including schizophrenia, stress, and anxiety disorders (Dobson, 2011).

Can it help with depression?

PST appears particularly helpful in treating clients with depression. A recent analysis of 30 studies found that PST was an effective treatment with a similar degree of success as other successful therapies targeting depression (Cuijpers, Wit, Kleiboer, Karyotaki, & Ebert, 2020).

Other studies confirm the value of PST and its effectiveness at treating depression in multiple age groups and its capacity to combine with other therapies, including drug treatments (Dobson, 2011).

The major concepts

Effective coping varies depending on the situation, and treatment typically focuses on improving the environment and reducing emotional distress (Dobson, 2011).

PST is based on two overlapping models:

Social problem-solving model

This model focuses on solving the problem “as it occurs in the natural social environment,” combined with a general coping strategy and a method of self-control (Dobson, 2011, p. 198).

The model includes three central concepts:

  • Social problem-solving
  • The problem
  • The solution

The model is a “self-directed cognitive-behavioral process by which an individual, couple, or group attempts to identify or discover effective solutions for specific problems encountered in everyday living” (Dobson, 2011, p. 199).

Relational problem-solving model

The theory of PST is underpinned by a relational problem-solving model, whereby stress is viewed in terms of the relationships between three factors:

  • Stressful life events
  • Emotional distress and wellbeing
  • Problem-solving coping

Therefore, when a significant adverse life event occurs, it may require “sweeping readjustments in a person’s life” (Dobson, 2011, p. 202).

problem solving fun facts

  • Enhance positive problem orientation
  • Decrease negative orientation
  • Foster ability to apply rational problem-solving skills
  • Reduce the tendency to avoid problem-solving
  • Minimize the tendency to be careless and impulsive

D’Zurilla’s and Nezu’s model includes (modified from Dobson, 2011):

  • Initial structuring Establish a positive therapeutic relationship that encourages optimism and explains the PST approach.
  • Assessment Formally and informally assess areas of stress in the client’s life and their problem-solving strengths and weaknesses.
  • Obstacles to effective problem-solving Explore typically human challenges to problem-solving, such as multitasking and the negative impact of stress. Introduce tools that can help, such as making lists, visualization, and breaking complex problems down.
  • Problem orientation – fostering self-efficacy Introduce the importance of a positive problem orientation, adopting tools, such as visualization, to promote self-efficacy.
  • Problem orientation – recognizing problems Help clients recognize issues as they occur and use problem checklists to ‘normalize’ the experience.
  • Problem orientation – seeing problems as challenges Encourage clients to break free of harmful and restricted ways of thinking while learning how to argue from another point of view.
  • Problem orientation – use and control emotions Help clients understand the role of emotions in problem-solving, including using feelings to inform the process and managing disruptive emotions (such as cognitive reframing and relaxation exercises).
  • Problem orientation – stop and think Teach clients how to reduce impulsive and avoidance tendencies (visualizing a stop sign or traffic light).
  • Problem definition and formulation Encourage an understanding of the nature of problems and set realistic goals and objectives.
  • Generation of alternatives Work with clients to help them recognize the wide range of potential solutions to each problem (for example, brainstorming).
  • Decision-making Encourage better decision-making through an improved understanding of the consequences of decisions and the value and likelihood of different outcomes.
  • Solution implementation and verification Foster the client’s ability to carry out a solution plan, monitor its outcome, evaluate its effectiveness, and use self-reinforcement to increase the chance of success.
  • Guided practice Encourage the application of problem-solving skills across multiple domains and future stressful problems.
  • Rapid problem-solving Teach clients how to apply problem-solving questions and guidelines quickly in any given situation.

Success in PST depends on the effectiveness of its implementation; using the right approach is crucial (Dobson, 2011).

Problem-solving therapy – Baycrest

The following interventions and techniques are helpful when implementing more effective problem-solving approaches in client’s lives.

First, it is essential to consider if PST is the best approach for the client, based on the problems they present.

Is PPT appropriate?

It is vital to consider whether PST is appropriate for the client’s situation. Therapists new to the approach may require additional guidance (Nezu et al., 2013).

Therapists should consider the following questions before beginning PST with a client (modified from Nezu et al., 2013):

  • Has PST proven effective in the past for the problem? For example, research has shown success with depression, generalized anxiety, back pain, Alzheimer’s disease, cancer, and supporting caregivers (Nezu et al., 2013).
  • Is PST acceptable to the client?
  • Is the individual experiencing a significant mental or physical health problem?

All affirmative answers suggest that PST would be a helpful technique to apply in this instance.

Five problem-solving steps

The following five steps are valuable when working with clients to help them cope with and manage their environment (modified from Dobson, 2011).

Ask the client to consider the following points (forming the acronym ADAPT) when confronted by a problem:

  • Attitude Aim to adopt a positive, optimistic attitude to the problem and problem-solving process.
  • Define Obtain all required facts and details of potential obstacles to define the problem.
  • Alternatives Identify various alternative solutions and actions to overcome the obstacle and achieve the problem-solving goal.
  • Predict Predict each alternative’s positive and negative outcomes and choose the one most likely to achieve the goal and maximize the benefits.
  • Try out Once selected, try out the solution and monitor its effectiveness while engaging in self-reinforcement.

If the client is not satisfied with their solution, they can return to step ‘A’ and find a more appropriate solution.

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Positive self-statements

When dealing with clients facing negative self-beliefs, it can be helpful for them to use positive self-statements.

Use the following (or add new) self-statements to replace harmful, negative thinking (modified from Dobson, 2011):

  • I can solve this problem; I’ve tackled similar ones before.
  • I can cope with this.
  • I just need to take a breath and relax.
  • Once I start, it will be easier.
  • It’s okay to look out for myself.
  • I can get help if needed.
  • Other people feel the same way I do.
  • I’ll take one piece of the problem at a time.
  • I can keep my fears in check.
  • I don’t need to please everyone.

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PST practitioners have many different techniques available to support clients as they learn to tackle day-to-day or one-off trauma.

5 Worksheets and workbooks

Problem-solving self-monitoring form.

Worksheets for problem solving therapy

Ask the client to complete the following:

  • Describe the problem you are facing.
  • What is your goal?
  • What have you tried so far to solve the problem?
  • What was the outcome?

Reactions to Stress

It can be helpful for the client to recognize their own experiences of stress. Do they react angrily, withdraw, or give up (Dobson, 2011)?

The Reactions to Stress worksheet can be given to the client as homework to capture stressful events and their reactions. By recording how they felt, behaved, and thought, they can recognize repeating patterns.

What Are Your Unique Triggers?

Helping clients capture triggers for their stressful reactions can encourage emotional regulation.

When clients can identify triggers that may lead to a negative response, they can stop the experience or slow down their emotional reaction (Dobson, 2011).

The What Are Your Unique Triggers ? worksheet helps the client identify their triggers (e.g., conflict, relationships, physical environment, etc.).

Problem-Solving worksheet

Imagining an existing or potential problem and working through how to resolve it can be a powerful exercise for the client.

Use the Problem-Solving worksheet to state a problem and goal and consider the obstacles in the way. Then explore options for achieving the goal, along with their pros and cons, to assess the best action plan.

Getting the Facts

Clients can become better equipped to tackle problems and choose the right course of action by recognizing facts versus assumptions and gathering all the necessary information (Dobson, 2011).

Use the Getting the Facts worksheet to answer the following questions clearly and unambiguously:

  • Who is involved?
  • What did or did not happen, and how did it bother you?
  • Where did it happen?
  • When did it happen?
  • Why did it happen?
  • How did you respond?

2 Helpful Group Activities

While therapists can use the worksheets above in group situations, the following two interventions work particularly well with more than one person.

Generating Alternative Solutions and Better Decision-Making

A group setting can provide an ideal opportunity to share a problem and identify potential solutions arising from multiple perspectives.

Use the Generating Alternative Solutions and Better Decision-Making worksheet and ask the client to explain the situation or problem to the group and the obstacles in the way.

Once the approaches are captured and reviewed, the individual can share their decision-making process with the group if they want further feedback.

Visualization

Visualization can be performed with individuals or in a group setting to help clients solve problems in multiple ways, including (Dobson, 2011):

  • Clarifying the problem by looking at it from multiple perspectives
  • Rehearsing a solution in the mind to improve and get more practice
  • Visualizing a ‘safe place’ for relaxation, slowing down, and stress management

Guided imagery is particularly valuable for encouraging the group to take a ‘mental vacation’ and let go of stress.

Ask the group to begin with slow, deep breathing that fills the entire diaphragm. Then ask them to visualize a favorite scene (real or imagined) that makes them feel relaxed, perhaps beside a gently flowing river, a summer meadow, or at the beach.

The more the senses are engaged, the more real the experience. Ask the group to think about what they can hear, see, touch, smell, and even taste.

Encourage them to experience the situation as fully as possible, immersing themselves and enjoying their place of safety.

Such feelings of relaxation may be able to help clients fall asleep, relieve stress, and become more ready to solve problems.

We have included three of our favorite books on the subject of Problem-Solving Therapy below.

1. Problem-Solving Therapy: A Treatment Manual – Arthur Nezu, Christine Maguth Nezu, and Thomas D’Zurilla

Problem-Solving Therapy

This is an incredibly valuable book for anyone wishing to understand the principles and practice behind PST.

Written by the co-developers of PST, the manual provides powerful toolkits to overcome cognitive overload, emotional dysregulation, and the barriers to practical problem-solving.

Find the book on Amazon .

2. Emotion-Centered Problem-Solving Therapy: Treatment Guidelines – Arthur Nezu and Christine Maguth Nezu

Emotion-Centered Problem-Solving Therapy

Another, more recent, book from the creators of PST, this text includes important advances in neuroscience underpinning the role of emotion in behavioral treatment.

Along with clinical examples, the book also includes crucial toolkits that form part of a stepped model for the application of PST.

3. Handbook of Cognitive-Behavioral Therapies – Keith Dobson and David Dozois

Handbook of Cognitive-Behavioral Therapies

This is the fourth edition of a hugely popular guide to Cognitive-Behavioral Therapies and includes a valuable and insightful section on Problem-Solving Therapy.

This is an important book for students and more experienced therapists wishing to form a high-level and in-depth understanding of the tools and techniques available to Cognitive-Behavioral Therapists.

For even more tools to help strengthen your clients’ problem-solving skills, check out the following free worksheets from our blog.

  • Case Formulation Worksheet This worksheet presents a four-step framework to help therapists and their clients come to a shared understanding of the client’s presenting problem.
  • Understanding Your Default Problem-Solving Approach This worksheet poses a series of questions helping clients reflect on their typical cognitive, emotional, and behavioral responses to problems.
  • Social Problem Solving: Step by Step This worksheet presents a streamlined template to help clients define a problem, generate possible courses of action, and evaluate the effectiveness of an implemented solution.

If you’re looking for more science-based ways to help others enhance their wellbeing, check out this signature collection of 17 validated positive psychology tools for practitioners. Use them to help others flourish and thrive.

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While we are born problem-solvers, facing an incredibly diverse set of challenges daily, we sometimes need support.

Problem-Solving Therapy aims to reduce stress and associated mental health disorders and improve wellbeing by improving our ability to cope. PST is valuable in diverse clinical settings, ranging from depression to schizophrenia, with research suggesting it as a highly effective treatment for teaching coping strategies and reducing emotional distress.

Many PST techniques are available to help improve clients’ positive outlook on obstacles while reducing avoidance of problem situations and the tendency to be careless and impulsive.

The PST model typically assesses the client’s strengths, weaknesses, and coping strategies when facing problems before encouraging a healthy experience of and relationship with problem-solving.

Why not use this article to explore the theory behind PST and try out some of our powerful tools and interventions with your clients to help them with their decision-making, coping, and problem-solving?

We hope you enjoyed reading this article. Don’t forget to download our three Positive Psychology Exercises for free .

  • Cuijpers, P., Wit, L., Kleiboer, A., Karyotaki, E., & Ebert, D. (2020). Problem-solving therapy for adult depression: An updated meta-analysis. European P sychiatry ,  48 (1), 27–37.
  • Dobson, K. S. (2011). Handbook of cognitive-behavioral therapies (3rd ed.). Guilford Press.
  • Dobson, K. S., & Dozois, D. J. A. (2021). Handbook of cognitive-behavioral therapies  (4th ed.). Guilford Press.
  • Eysenck, M. W., & Keane, M. T. (2015). Cognitive psychology: A student’s handbook . Psychology Press.
  • Nezu, A. M., & Nezu, C. M. (2009). Problem-solving therapy DVD . Retrieved September 13, 2021, from https://www.apa.org/pubs/videos/4310852
  • Nezu, A. M., & Nezu, C. M. (2018). Emotion-centered problem-solving therapy: Treatment guidelines. Springer.
  • Nezu, A. M., Nezu, C. M., & D’Zurilla, T. J. (2013). Problem-solving therapy: A treatment manual . Springer.

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></center></p><h2>17 Smart Problem-Solving Strategies: Master Complex Problems</h2><ul><li>March 3, 2024</li><li>Productivity</li><li>25 min read</li></ul><p><center><img style=

Struggling to overcome challenges in your life? We all face problems, big and small, on a regular basis.

So how do you tackle them effectively? What are some key problem-solving strategies and skills that can guide you?

Effective problem-solving requires breaking issues down logically, generating solutions creatively, weighing choices critically, and adapting plans flexibly based on outcomes. Useful strategies range from leveraging past solutions that have worked to visualizing problems through diagrams. Core skills include analytical abilities, innovative thinking, and collaboration.

Want to improve your problem-solving skills? Keep reading to find out 17 effective problem-solving strategies, key skills, common obstacles to watch for, and tips on improving your overall problem-solving skills.

Key Takeaways:

  • Effective problem-solving requires breaking down issues logically, generating multiple solutions creatively, weighing choices critically, and adapting plans based on outcomes.
  • Useful problem-solving strategies range from leveraging past solutions to brainstorming with groups to visualizing problems through diagrams and models.
  • Core skills include analytical abilities, innovative thinking, decision-making, and team collaboration to solve problems.
  • Common obstacles include fear of failure, information gaps, fixed mindsets, confirmation bias, and groupthink.
  • Boosting problem-solving skills involves learning from experts, actively practicing, soliciting feedback, and analyzing others’ success.
  • Onethread’s project management capabilities align with effective problem-solving tenets – facilitating structured solutions, tracking progress, and capturing lessons learned.

What Is Problem-Solving?

Problem-solving is the process of understanding an issue, situation, or challenge that needs to be addressed and then systematically working through possible solutions to arrive at the best outcome.

It involves critical thinking, analysis, logic, creativity, research, planning, reflection, and patience in order to overcome obstacles and find effective answers to complex questions or problems.

The ultimate goal is to implement the chosen solution successfully.

What Are Problem-Solving Strategies?

Problem-solving strategies are like frameworks or methodologies that help us solve tricky puzzles or problems we face in the workplace, at home, or with friends.

Imagine you have a big jigsaw puzzle. One strategy might be to start with the corner pieces. Another could be looking for pieces with the same colors. 

Just like in puzzles, in real life, we use different plans or steps to find solutions to problems. These strategies help us think clearly, make good choices, and find the best answers without getting too stressed or giving up.

Why Is It Important To Know Different Problem-Solving Strategies?

Why Is It Important To Know Different Problem-Solving Strategies

Knowing different problem-solving strategies is important because different types of problems often require different approaches to solve them effectively. Having a variety of strategies to choose from allows you to select the best method for the specific problem you are trying to solve.

This improves your ability to analyze issues thoroughly, develop solutions creatively, and tackle problems from multiple angles. Knowing multiple strategies also aids in overcoming roadblocks if your initial approach is not working.

Here are some reasons why you need to know different problem-solving strategies:

  • Different Problems Require Different Tools: Just like you can’t use a hammer to fix everything, some problems need specific strategies to solve them.
  • Improves Creativity: Knowing various strategies helps you think outside the box and come up with creative solutions.
  • Saves Time: With the right strategy, you can solve problems faster instead of trying things that don’t work.
  • Reduces Stress: When you know how to tackle a problem, it feels less scary and you feel more confident.
  • Better Outcomes: Using the right strategy can lead to better solutions, making things work out better in the end.
  • Learning and Growth: Each time you solve a problem, you learn something new, which makes you smarter and better at solving future problems.

Knowing different ways to solve problems helps you tackle anything that comes your way, making life a bit easier and more fun!

17 Effective Problem-Solving Strategies

Effective problem-solving strategies include breaking the problem into smaller parts, brainstorming multiple solutions, evaluating the pros and cons of each, and choosing the most viable option. 

Critical thinking and creativity are essential in developing innovative solutions. Collaboration with others can also provide diverse perspectives and ideas. 

By applying these strategies, you can tackle complex issues more effectively.

Now, consider a challenge you’re dealing with. Which strategy could help you find a solution? Here we will discuss key problem strategies in detail.

1. Use a Past Solution That Worked

Use a Past Solution That Worked

This strategy involves looking back at previous similar problems you have faced and the solutions that were effective in solving them.

It is useful when you are facing a problem that is very similar to something you have already solved. The main benefit is that you don’t have to come up with a brand new solution – you already know the method that worked before will likely work again.

However, the limitation is that the current problem may have some unique aspects or differences that mean your old solution is not fully applicable.

The ideal process is to thoroughly analyze the new challenge, identify the key similarities and differences versus the past case, adapt the old solution as needed to align with the current context, and then pilot it carefully before full implementation.

An example is using the same negotiation tactics from purchasing your previous home when putting in an offer on a new house. Key terms would be adjusted but overall it can save significant time versus developing a brand new strategy.

2. Brainstorm Solutions

Brainstorm Solutions

This involves gathering a group of people together to generate as many potential solutions to a problem as possible.

It is effective when you need creative ideas to solve a complex or challenging issue. By getting input from multiple people with diverse perspectives, you increase the likelihood of finding an innovative solution.

The main limitation is that brainstorming sessions can sometimes turn into unproductive gripe sessions or discussions rather than focusing on productive ideation —so they need to be properly facilitated.

The key to an effective brainstorming session is setting some basic ground rules upfront and having an experienced facilitator guide the discussion. Rules often include encouraging wild ideas, avoiding criticism of ideas during the ideation phase, and building on others’ ideas.

For instance, a struggling startup might hold a session where ideas for turnaround plans are generated and then formalized with financials and metrics.

3. Work Backward from the Solution

Work Backward from the Solution

This technique involves envisioning that the problem has already been solved and then working step-by-step backward toward the current state.

This strategy is particularly helpful for long-term, multi-step problems. By starting from the imagined solution and identifying all the steps required to reach it, you can systematically determine the actions needed. It lets you tackle a big hairy problem through smaller, reversible steps.

A limitation is that this approach may not be possible if you cannot accurately envision the solution state to start with.

The approach helps drive logical systematic thinking for complex problem-solving, but should still be combined with creative brainstorming of alternative scenarios and solutions.

An example is planning for an event – you would imagine the successful event occurring, then determine the tasks needed the week before, two weeks before, etc. all the way back to the present.

4. Use the Kipling Method

Use the Kipling Method

This method, named after author Rudyard Kipling, provides a framework for thoroughly analyzing a problem before jumping into solutions.

It consists of answering six fundamental questions: What, Where, When, How, Who, and Why about the challenge. Clearly defining these core elements of the problem sets the stage for generating targeted solutions.

The Kipling method enables a deep understanding of problem parameters and root causes before solution identification. By jumping to brainstorm solutions too early, critical information can be missed or the problem is loosely defined, reducing solution quality.

Answering the six fundamental questions illuminates all angles of the issue. This takes time but pays dividends in generating optimal solutions later tuned precisely to the true underlying problem.

The limitation is that meticulously working through numerous questions before addressing solutions can slow progress.

The best approach blends structured problem decomposition techniques like the Kipling method with spurring innovative solution ideation from a diverse team. 

An example is using this technique after a technical process failure – the team would systematically detail What failed, Where/When did it fail, How it failed (sequence of events), Who was involved, and Why it likely failed before exploring preventative solutions.

5. Try Different Solutions Until One Works (Trial and Error)

Try Different Solutions Until One Works (Trial and Error)

This technique involves attempting various potential solutions sequentially until finding one that successfully solves the problem.

Trial and error works best when facing a concrete, bounded challenge with clear solution criteria and a small number of discrete options to try. By methodically testing solutions, you can determine the faulty component.

A limitation is that it can be time-intensive if the working solution set is large.

The key is limiting the variable set first. For technical problems, this boundary is inherent and each element can be iteratively tested. But for business issues, artificial constraints may be required – setting decision rules upfront to reduce options before testing.

Furthermore, hypothesis-driven experimentation is far superior to blind trial and error – have logic for why Option A may outperform Option B.

Examples include fixing printer jams by testing different paper tray and cable configurations or resolving website errors by tweaking CSS/HTML line-by-line until the code functions properly.

6. Use Proven Formulas or Frameworks (Heuristics)

Use Proven Formulas or Frameworks (Heuristics)

Heuristics refers to applying existing problem-solving formulas or frameworks rather than addressing issues completely from scratch.

This allows leveraging established best practices rather than reinventing the wheel each time.

It is effective when facing recurrent, common challenges where proven structured approaches exist.

However, heuristics may force-fit solutions to non-standard problems.

For example, a cost-benefit analysis can be used instead of custom weighting schemes to analyze potential process improvements.

Onethread allows teams to define, save, and replicate configurable project templates so proven workflows can be reliably applied across problems with some consistency rather than fully custom one-off approaches each time.

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7. Trust Your Instincts (Insight Problem-Solving)

Trust Your Instincts (Insight Problem-Solving)

Insight is a problem-solving technique that involves waiting patiently for an unexpected “aha moment” when the solution pops into your mind.

It works well for personal challenges that require intuitive realizations over calculated logic. The unconscious mind makes connections leading to flashes of insight when relaxing or doing mundane tasks unrelated to the actual problem.

Benefits include out-of-the-box creative solutions. However, the limitations are that insights can’t be forced and may never come at all if too complex. Critical analysis is still required after initial insights.

A real-life example would be a writer struggling with how to end a novel. Despite extensive brainstorming, they feel stuck. Eventually while gardening one day, a perfect unexpected plot twist sparks an ideal conclusion. However, once written they still carefully review if the ending flows logically from the rest of the story.

8. Reverse Engineer the Problem

Reverse Engineer the Problem

This approach involves deconstructing a problem in reverse sequential order from the current undesirable outcome back to the initial root causes.

By mapping the chain of events backward, you can identify the origin of where things went wrong and establish the critical junctures for solving it moving ahead. Reverse engineering provides diagnostic clarity on multi-step problems.

However, the limitation is that it focuses heavily on autopsying the past versus innovating improved future solutions.

An example is tracing back from a server outage, through the cascade of infrastructure failures that led to it finally terminating at the initial script error that triggered the crisis. This root cause would then inform the preventative measure.

9. Break Down Obstacles Between Current and Goal State (Means-End Analysis)

Break Down Obstacles Between Current and Goal State (Means-End Analysis)

This technique defines the current problem state and the desired end goal state, then systematically identifies obstacles in the way of getting from one to the other.

By mapping the barriers or gaps, you can then develop solutions to address each one. This methodically connects the problem to solutions.

A limitation is that some obstacles may be unknown upfront and only emerge later.

For example, you can list down all the steps required for a new product launch – current state through production, marketing, sales, distribution, etc. to full launch (goal state) – to highlight where resource constraints or other blocks exist so they can be addressed.

Onethread allows dividing big-picture projects into discrete, manageable phases, milestones, and tasks to simplify execution just as problems can be decomposed into more achievable components. Features like dependency mapping further reinforce interconnections.

Using Onethread’s issues and subtasks feature, messy problems can be decomposed into manageable chunks.

10. Ask “Why” Five Times to Identify the Root Cause (The 5 Whys)

Ask "Why" Five Times to Identify the Root Cause (The 5 Whys)

This technique involves asking “Why did this problem occur?” and then responding with an answer that is again met with asking “Why?” This process repeats five times until the root cause is revealed.

Continually asking why digs deeper from surface symptoms to underlying systemic issues.

It is effective for getting to the source of problems originating from human error or process breakdowns.

However, some complex issues may have multiple tangled root causes not solvable through this approach alone.

An example is a retail store experiencing a sudden decline in customers. Successively asking why five times may trace an initial drop to parking challenges, stemming from a city construction project – the true starting point to address.

11. Evaluate Strengths, Weaknesses, Opportunities, and Threats (SWOT Analysis)

Evaluate Strengths, Weaknesses, Opportunities, and Threats (SWOT Analysis)

This involves analyzing a problem or proposed solution by categorizing internal and external factors into a 2×2 matrix: Strengths, Weaknesses as the internal rows; Opportunities and Threats as the external columns.

Systematically identifying these elements provides balanced insight to evaluate options and risks. It is impactful when evaluating alternative solutions or developing strategy amid complexity or uncertainty.

The key benefit of SWOT analysis is enabling multi-dimensional thinking when rationally evaluating options. Rather than getting anchored on just the upsides or the existing way of operating, it urges a systematic assessment through four different lenses:

  • Internal Strengths: Our core competencies/advantages able to deliver success
  • Internal Weaknesses: Gaps/vulnerabilities we need to manage
  • External Opportunities: Ways we can differentiate/drive additional value
  • External Threats: Risks we must navigate or mitigate

Multiperspective analysis provides the needed holistic view of the balanced risk vs. reward equation for strategic decision making amid uncertainty.

However, SWOT can feel restrictive if not tailored and evolved for different issue types.

Teams should view SWOT analysis as a starting point, augmenting it further for distinct scenarios.

An example is performing a SWOT analysis on whether a small business should expand into a new market – evaluating internal capabilities to execute vs. risks in the external competitive and demand environment to inform the growth decision with eyes wide open.

12. Compare Current vs Expected Performance (Gap Analysis)

Compare Current vs Expected Performance (Gap Analysis)

This technique involves comparing the current state of performance, output, or results to the desired or expected levels to highlight shortfalls.

By quantifying the gaps, you can identify problem areas and prioritize address solutions.

Gap analysis is based on the simple principle – “you can’t improve what you don’t measure.” It enables facts-driven problem diagnosis by highlighting delta to goals, not just vague dissatisfaction that something seems wrong. And measurement immediately suggests improvement opportunities – address the biggest gaps first.

This data orientation also supports ROI analysis on fixing issues – the return from closing larger gaps outweighs narrowly targeting smaller performance deficiencies.

However, the approach is only effective if robust standards and metrics exist as the benchmark to evaluate against. Organizations should invest upfront in establishing performance frameworks.

Furthermore, while numbers are invaluable, the human context behind problems should not be ignored – quantitative versus qualitative gap assessment is optimally blended.

For example, if usage declines are noted during software gap analysis, this could be used as a signal to improve user experience through design.

13. Observe Processes from the Frontline (Gemba Walk)

Observe Processes from the Frontline (Gemba Walk)

A Gemba walk involves going to the actual place where work is done, directly observing the process, engaging with employees, and finding areas for improvement.

By experiencing firsthand rather than solely reviewing abstract reports, practical problems and ideas emerge.

The limitation is Gemba walks provide anecdotes not statistically significant data. It complements but does not replace comprehensive performance measurement.

An example is a factory manager inspecting the production line to spot jam areas based on direct reality rather than relying on throughput dashboards alone back in her office. Frontline insights prove invaluable.

14. Analyze Competitive Forces (Porter’s Five Forces)

Analyze Competitive Forces (Porter’s Five Forces)

This involves assessing the marketplace around a problem or business situation via five key factors: competitors, new entrants, substitute offerings, suppliers, and customer power.

Evaluating these forces illuminates risks and opportunities for strategy development and issue resolution. It is effective for understanding dynamic external threats and opportunities when operating in a contested space.

However, over-indexing on only external factors can overlook the internal capabilities needed to execute solutions.

A startup CEO, for example, may analyze market entry barriers, whitespace opportunities, and disruption risks across these five forces to shape new product rollout strategies and marketing approaches.

15. Think from Different Perspectives (Six Thinking Hats)

Think from Different Perspectives (Six Thinking Hats)

The Six Thinking Hats is a technique developed by Edward de Bono that encourages people to think about a problem from six different perspectives, each represented by a colored “thinking hat.”

The key benefit of this strategy is that it pushes team members to move outside their usual thinking style and consider new angles. This brings more diverse ideas and solutions to the table.

It works best for complex problems that require innovative solutions and when a team is stuck in an unproductive debate. The structured framework keeps the conversation flowing in a positive direction.

Limitations are that it requires training on the method itself and may feel unnatural at first. Team dynamics can also influence success – some members may dominate certain “hats” while others remain quiet.

A real-life example is a software company debating whether to build a new feature. The white hat focuses on facts, red on gut feelings, black on potential risks, yellow on benefits, green on new ideas, and blue on process. This exposes more balanced perspectives before deciding.

Onethread centralizes diverse stakeholder communication onto one platform, ensuring all voices are incorporated when evaluating project tradeoffs, just as problem-solving should consider multifaceted solutions.

16. Visualize the Problem (Draw it Out)

Visualize the Problem (Draw it Out)

Drawing out a problem involves creating visual representations like diagrams, flowcharts, and maps to work through challenging issues.

This strategy is helpful when dealing with complex situations with lots of interconnected components. The visuals simplify the complexity so you can thoroughly understand the problem and all its nuances.

Key benefits are that it allows more stakeholders to get on the same page regarding root causes and it sparks new creative solutions as connections are made visually.

However, simple problems with few variables don’t require extensive diagrams. Additionally, some challenges are so multidimensional that fully capturing every aspect is difficult.

A real-life example would be mapping out all the possible causes leading to decreased client satisfaction at a law firm. An intricate fishbone diagram with branches for issues like service delivery, technology, facilities, culture, and vendor partnerships allows the team to trace problems back to their origins and brainstorm targeted fixes.

17. Follow a Step-by-Step Procedure (Algorithms)

Follow a Step-by-Step Procedure (Algorithms)

An algorithm is a predefined step-by-step process that is guaranteed to produce the correct solution if implemented properly.

Using algorithms is effective when facing problems that have clear, binary right and wrong answers. Algorithms work for mathematical calculations, computer code, manufacturing assembly lines, and scientific experiments.

Key benefits are consistency, accuracy, and efficiency. However, they require extensive upfront development and only apply to scenarios with strict parameters. Additionally, human error can lead to mistakes.

For example, crew members of fast food chains like McDonald’s follow specific algorithms for food prep – from grill times to ingredient amounts in sandwiches, to order fulfillment procedures. This ensures uniform quality and service across all locations. However, if a step is missed, errors occur.

The Problem-Solving Process

The Problem-Solving Process

The problem-solving process typically includes defining the issue, analyzing details, creating solutions, weighing choices, acting, and reviewing results.

In the above, we have discussed several problem-solving strategies. For every problem-solving strategy, you have to follow these processes. Here’s a detailed step-by-step process of effective problem-solving:

Step 1: Identify the Problem

The problem-solving process starts with identifying the problem. This step involves understanding the issue’s nature, its scope, and its impact. Once the problem is clearly defined, it sets the foundation for finding effective solutions.

Identifying the problem is crucial. It means figuring out exactly what needs fixing. This involves looking at the situation closely, understanding what’s wrong, and knowing how it affects things. It’s about asking the right questions to get a clear picture of the issue. 

This step is important because it guides the rest of the problem-solving process. Without a clear understanding of the problem, finding a solution is much harder. It’s like diagnosing an illness before treating it. Once the problem is identified accurately, you can move on to exploring possible solutions and deciding on the best course of action.

Step 2: Break Down the Problem

Breaking down the problem is a key step in the problem-solving process. It involves dividing the main issue into smaller, more manageable parts. This makes it easier to understand and tackle each component one by one.

After identifying the problem, the next step is to break it down. This means splitting the big issue into smaller pieces. It’s like solving a puzzle by handling one piece at a time. 

By doing this, you can focus on each part without feeling overwhelmed. It also helps in identifying the root causes of the problem. Breaking down the problem allows for a clearer analysis and makes finding solutions more straightforward. 

Each smaller problem can be addressed individually, leading to an effective resolution of the overall issue. This approach not only simplifies complex problems but also aids in developing a systematic plan to solve them.

Step 3: Come up with potential solutions

Coming up with potential solutions is the third step in the problem-solving process. It involves brainstorming various options to address the problem, considering creativity and feasibility to find the best approach.

After breaking down the problem, it’s time to think of ways to solve it. This stage is about brainstorming different solutions. You look at the smaller issues you’ve identified and start thinking of ways to fix them. This is where creativity comes in. 

You want to come up with as many ideas as possible, no matter how out-of-the-box they seem. It’s important to consider all options and evaluate their pros and cons. This process allows you to gather a range of possible solutions. 

Later, you can narrow these down to the most practical and effective ones. This step is crucial because it sets the stage for deciding on the best solution to implement. It’s about being open-minded and innovative to tackle the problem effectively.

Step 4: Analyze the possible solutions

Analyzing the possible solutions is the fourth step in the problem-solving process. It involves evaluating each proposed solution’s advantages and disadvantages to determine the most effective and feasible option.

After coming up with potential solutions, the next step is to analyze them. This means looking closely at each idea to see how well it solves the problem. You weigh the pros and cons of every solution.

Consider factors like cost, time, resources, and potential outcomes. This analysis helps in understanding the implications of each option. It’s about being critical and objective, ensuring that the chosen solution is not only effective but also practical.

This step is vital because it guides you towards making an informed decision. It involves comparing the solutions against each other and selecting the one that best addresses the problem.

By thoroughly analyzing the options, you can move forward with confidence, knowing you’ve chosen the best path to solve the issue.

Step 5: Implement and Monitor the Solutions

Implementing and monitoring the solutions is the final step in the problem-solving process. It involves putting the chosen solution into action and observing its effectiveness, making adjustments as necessary.

Once you’ve selected the best solution, it’s time to put it into practice. This step is about action. You implement the chosen solution and then keep an eye on how it works. Monitoring is crucial because it tells you if the solution is solving the problem as expected. 

If things don’t go as planned, you may need to make some changes. This could mean tweaking the current solution or trying a different one. The goal is to ensure the problem is fully resolved. 

This step is critical because it involves real-world application. It’s not just about planning; it’s about doing and adjusting based on results. By effectively implementing and monitoring the solutions, you can achieve the desired outcome and solve the problem successfully.

Why This Process is Important

Following a defined process to solve problems is important because it provides a systematic, structured approach instead of a haphazard one. Having clear steps guides logical thinking, analysis, and decision-making to increase effectiveness. Key reasons it helps are:

  • Clear Direction: This process gives you a clear path to follow, which can make solving problems less overwhelming.
  • Better Solutions: Thoughtful analysis of root causes, iterative testing of solutions, and learning orientation lead to addressing the heart of issues rather than just symptoms.
  • Saves Time and Energy: Instead of guessing or trying random things, this process helps you find a solution more efficiently.
  • Improves Skills: The more you use this process, the better you get at solving problems. It’s like practicing a sport. The more you practice, the better you play.
  • Maximizes collaboration: Involving various stakeholders in the process enables broader inputs. Their communication and coordination are streamlined through organized brainstorming and evaluation.
  • Provides consistency: Standard methodology across problems enables building institutional problem-solving capabilities over time. Patterns emerge on effective techniques to apply to different situations.

The problem-solving process is a powerful tool that can help us tackle any challenge we face. By following these steps, we can find solutions that work and learn important skills along the way.

Key Skills for Efficient Problem Solving

Key Skills for Efficient Problem Solving

Efficient problem-solving requires breaking down issues logically, evaluating options, and implementing practical solutions.

Key skills include critical thinking to understand root causes, creativity to brainstorm innovative ideas, communication abilities to collaborate with others, and decision-making to select the best way forward. Staying adaptable, reflecting on outcomes, and applying lessons learned are also essential.

With practice, these capacities will lead to increased personal and team effectiveness in systematically addressing any problem.

 Let’s explore the powers you need to become a problem-solving hero!

Critical Thinking and Analytical Skills

Critical thinking and analytical skills are vital for efficient problem-solving as they enable individuals to objectively evaluate information, identify key issues, and generate effective solutions. 

These skills facilitate a deeper understanding of problems, leading to logical, well-reasoned decisions. By systematically breaking down complex issues and considering various perspectives, individuals can develop more innovative and practical solutions, enhancing their problem-solving effectiveness.

Communication Skills

Effective communication skills are essential for efficient problem-solving as they facilitate clear sharing of information, ensuring all team members understand the problem and proposed solutions. 

These skills enable individuals to articulate issues, listen actively, and collaborate effectively, fostering a productive environment where diverse ideas can be exchanged and refined. By enhancing mutual understanding, communication skills contribute significantly to identifying and implementing the most viable solutions.

Decision-Making

Strong decision-making skills are crucial for efficient problem-solving, as they enable individuals to choose the best course of action from multiple alternatives. 

These skills involve evaluating the potential outcomes of different solutions, considering the risks and benefits, and making informed choices. Effective decision-making leads to the implementation of solutions that are likely to resolve problems effectively, ensuring resources are used efficiently and goals are achieved.

Planning and Prioritization

Planning and prioritization are key for efficient problem-solving, ensuring resources are allocated effectively to address the most critical issues first. This approach helps in organizing tasks according to their urgency and impact, streamlining efforts towards achieving the desired outcome efficiently.

Emotional Intelligence

Emotional intelligence enhances problem-solving by allowing individuals to manage emotions, understand others, and navigate social complexities. It fosters a positive, collaborative environment, essential for generating creative solutions and making informed, empathetic decisions.

Leadership skills drive efficient problem-solving by inspiring and guiding teams toward common goals. Effective leaders motivate their teams, foster innovation, and navigate challenges, ensuring collective efforts are focused and productive in addressing problems.

Time Management

Time management is crucial in problem-solving, enabling individuals to allocate appropriate time to each task. By efficiently managing time, one can ensure that critical problems are addressed promptly without neglecting other responsibilities.

Data Analysis

Data analysis skills are essential for problem-solving, as they enable individuals to sift through data, identify trends, and extract actionable insights. This analytical approach supports evidence-based decision-making, leading to more accurate and effective solutions.

Research Skills

Research skills are vital for efficient problem-solving, allowing individuals to gather relevant information, explore various solutions, and understand the problem’s context. This thorough exploration aids in developing well-informed, innovative solutions.

Becoming a great problem solver takes practice, but with these skills, you’re on your way to becoming a problem-solving hero. 

How to Improve Your Problem-Solving Skills?

How to Improve Your Problem-Solving Skills

Improving your problem-solving skills can make you a master at overcoming challenges. Learn from experts, practice regularly, welcome feedback, try new methods, experiment, and study others’ success to become better.

Learning from Experts

Improving problem-solving skills by learning from experts involves seeking mentorship, attending workshops, and studying case studies. Experts provide insights and techniques that refine your approach, enhancing your ability to tackle complex problems effectively.

To enhance your problem-solving skills, learning from experts can be incredibly beneficial. Engaging with mentors, participating in specialized workshops, and analyzing case studies from seasoned professionals can offer valuable perspectives and strategies. 

Experts share their experiences, mistakes, and successes, providing practical knowledge that can be applied to your own problem-solving process. This exposure not only broadens your understanding but also introduces you to diverse methods and approaches, enabling you to tackle challenges more efficiently and creatively.

Improving problem-solving skills through practice involves tackling a variety of challenges regularly. This hands-on approach helps in refining techniques and strategies, making you more adept at identifying and solving problems efficiently.

One of the most effective ways to enhance your problem-solving skills is through consistent practice. By engaging with different types of problems on a regular basis, you develop a deeper understanding of various strategies and how they can be applied. 

This hands-on experience allows you to experiment with different approaches, learn from mistakes, and build confidence in your ability to tackle challenges.

Regular practice not only sharpens your analytical and critical thinking skills but also encourages adaptability and innovation, key components of effective problem-solving.

Openness to Feedback

Being open to feedback is like unlocking a secret level in a game. It helps you boost your problem-solving skills. Improving problem-solving skills through openness to feedback involves actively seeking and constructively responding to critiques. 

This receptivity enables you to refine your strategies and approaches based on insights from others, leading to more effective solutions. 

Learning New Approaches and Methodologies

Learning new approaches and methodologies is like adding new tools to your toolbox. It makes you a smarter problem-solver. Enhancing problem-solving skills by learning new approaches and methodologies involves staying updated with the latest trends and techniques in your field. 

This continuous learning expands your toolkit, enabling innovative solutions and a fresh perspective on challenges.

Experimentation

Experimentation is like being a scientist of your own problems. It’s a powerful way to improve your problem-solving skills. Boosting problem-solving skills through experimentation means trying out different solutions to see what works best. This trial-and-error approach fosters creativity and can lead to unique solutions that wouldn’t have been considered otherwise.

Analyzing Competitors’ Success

Analyzing competitors’ success is like being a detective. It’s a smart way to boost your problem-solving skills. Improving problem-solving skills by analyzing competitors’ success involves studying their strategies and outcomes. Understanding what worked for them can provide valuable insights and inspire effective solutions for your own challenges. 

Challenges in Problem-Solving

Facing obstacles when solving problems is common. Recognizing these barriers, like fear of failure or lack of information, helps us find ways around them for better solutions.

Fear of Failure

Fear of failure is like a big, scary monster that stops us from solving problems. It’s a challenge many face. Because being afraid of making mistakes can make us too scared to try new solutions. 

How can we overcome this? First, understand that it’s okay to fail. Failure is not the opposite of success; it’s part of learning. Every time we fail, we discover one more way not to solve a problem, getting us closer to the right solution. Treat each attempt like an experiment. It’s not about failing; it’s about testing and learning.

Lack of Information

Lack of information is like trying to solve a puzzle with missing pieces. It’s a big challenge in problem-solving. Because without all the necessary details, finding a solution is much harder. 

How can we fix this? Start by gathering as much information as you can. Ask questions, do research, or talk to experts. Think of yourself as a detective looking for clues. The more information you collect, the clearer the picture becomes. Then, use what you’ve learned to think of solutions. 

Fixed Mindset

A fixed mindset is like being stuck in quicksand; it makes solving problems harder. It means thinking you can’t improve or learn new ways to solve issues. 

How can we change this? First, believe that you can grow and learn from challenges. Think of your brain as a muscle that gets stronger every time you use it. When you face a problem, instead of saying “I can’t do this,” try thinking, “I can’t do this yet.” Look for lessons in every challenge and celebrate small wins. 

Everyone starts somewhere, and mistakes are just steps on the path to getting better. By shifting to a growth mindset, you’ll see problems as opportunities to grow. Keep trying, keep learning, and your problem-solving skills will soar!

Jumping to Conclusions

Jumping to conclusions is like trying to finish a race before it starts. It’s a challenge in problem-solving. That means making a decision too quickly without looking at all the facts. 

How can we avoid this? First, take a deep breath and slow down. Think about the problem like a puzzle. You need to see all the pieces before you know where they go. Ask questions, gather information, and consider different possibilities. Don’t choose the first solution that comes to mind. Instead, compare a few options. 

Feeling Overwhelmed

Feeling overwhelmed is like being buried under a mountain of puzzles. It’s a big challenge in problem-solving. When we’re overwhelmed, everything seems too hard to handle. 

How can we deal with this? Start by taking a step back. Breathe deeply and focus on one thing at a time. Break the big problem into smaller pieces, like sorting puzzle pieces by color. Tackle each small piece one by one. It’s also okay to ask for help. Sometimes, talking to someone else can give you a new perspective. 

Confirmation Bias

Confirmation bias is like wearing glasses that only let you see what you want to see. It’s a challenge in problem-solving. Because it makes us focus only on information that agrees with what we already believe, ignoring anything that doesn’t. 

How can we overcome this? First, be aware that you might be doing it. It’s like checking if your glasses are on right. Then, purposely look for information that challenges your views. It’s like trying on a different pair of glasses to see a new perspective. Ask questions and listen to answers, even if they don’t fit what you thought before.

Groupthink is like everyone in a group deciding to wear the same outfit without asking why. It’s a challenge in problem-solving. It means making decisions just because everyone else agrees, without really thinking it through. 

How can we avoid this? First, encourage everyone in the group to share their ideas, even if they’re different. It’s like inviting everyone to show their unique style of clothes. 

Listen to all opinions and discuss them. It’s okay to disagree; it helps us think of better solutions. Also, sometimes, ask someone outside the group for their thoughts. They might see something everyone in the group missed.

Overcoming obstacles in problem-solving requires patience, openness, and a willingness to learn from mistakes. By recognizing these barriers, we can develop strategies to navigate around them, leading to more effective and creative solutions.

What are the most common problem-solving techniques?

The most common techniques include brainstorming, the 5 Whys, mind mapping, SWOT analysis, and using algorithms or heuristics. Each approach has its strengths, suitable for different types of problems.

What’s the best problem-solving strategy for every situation?

There’s no one-size-fits-all strategy. The best approach depends on the problem’s complexity, available resources, and time constraints. Combining multiple techniques often yields the best results.

How can I improve my problem-solving skills?

Improve your problem-solving skills by practicing regularly, learning from experts, staying open to feedback, and continuously updating your knowledge on new approaches and methodologies.

Are there any tools or resources to help with problem-solving?

Yes, tools like mind mapping software, online courses on critical thinking, and books on problem-solving techniques can be very helpful. Joining forums or groups focused on problem-solving can also provide support and insights.

What are some common mistakes people make when solving problems?

Common mistakes include jumping to conclusions without fully understanding the problem, ignoring valuable feedback, sticking to familiar solutions without considering alternatives, and not breaking down complex problems into manageable parts.

Final Words

Mastering problem-solving strategies equips us with the tools to tackle challenges across all areas of life. By understanding and applying these techniques, embracing a growth mindset, and learning from both successes and obstacles, we can transform problems into opportunities for growth. Continuously improving these skills ensures we’re prepared to face and solve future challenges more effectively.

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Facts.net

17 Fascinating Facts About Puzzle Solving

Valentina Gulick

Written by Valentina Gulick

Modified & Updated: 01 Jun 2024

Jessica Corbett

Reviewed by Jessica Corbett

  • Thinking Skills

17-fascinating-facts-about-puzzle-solving

Puzzle solving is a popular activity that engages our minds and challenges our problem-solving abilities. Whether it’s a jigsaw puzzle, a crossword puzzle, or a riddle, the process of piecing together fragments of information to arrive at a solution is both intriguing and gratifying.

But did you know that puzzle solving goes beyond being just a pastime? It has been proven to have numerous cognitive benefits, such as improving memory, enhancing concentration, and boosting creativity. Furthermore, puzzles have a rich history that dates back centuries, with various cultures incorporating them into their traditions.

In this article, we’ll delve into the fascinating world of puzzle solving and explore 17 intriguing facts about it. From mind-boggling records to the unexpected origins of popular puzzle games, you’ll discover the hidden depths of this beloved hobby. So, grab your thinking cap and get ready to uncover some surprising facts about puzzle solving!

Key Takeaways:

  • Puzzle solving is not just a modern trend – it’s been around for centuries and offers a fun way to exercise your brain, reduce stress, and boost problem-solving skills.
  • Engaging in puzzle solving promotes creativity, enhances memory, and can be a social activity, providing endless entertainment and timeless enjoyment.

Puzzles have been around for centuries.

Puzzle solving is not a recent phenomenon. People have been engaged in solving puzzles for centuries, dating back to civilizations such as the Egyptians and the Greeks.

Puzzle solving is a great brain exercise.

Engaging in puzzle solving activities can help keep your brain sharp and improve cognitive functions. It enhances your problem-solving skills, memory, and logical thinking abilities.

Puzzle solving promotes creativity.

When solving puzzles, you need to think outside the box and come up with alternative solutions. This stimulates your creativity and helps you develop innovative strategies.

There are various types of puzzles.

Puzzles come in a wide variety of types, including jigsaw puzzles, crossword puzzles, Sudoku, riddles, logic puzzles, and brain teasers. Each type offers a unique challenge and requires different problem-solving approaches.

Puzzle solving can be a social activity.

Puzzles are often enjoyed in groups, allowing people to collaborate and work together towards a common goal. Solving puzzles with others can enhance communication skills and foster teamwork.

Puzzle solving improves patience and persistence.

Solving complex puzzles requires patience and persistence. It teaches you to persevere through challenges, overcome obstacles, and not give up easily.

Puzzle solving reduces stress.

Engaging in puzzle-solving activities can help reduce stress and anxiety . It allows you to focus on a specific task, diverting your mind from daily worries and providing a sense of relaxation.

Puzzle solving boosts problem-solving skills.

Puzzles provide a platform to practice and improve problem-solving skills. They encourage you to analyze situations, think critically, and come up with efficient solutions.

Puzzle solving enhances memory.

When solving puzzles, you need to remember clues, patterns, and information. This constant exercise of memory retrieval strengthens your cognitive abilities and improves memory retention.

Puzzle solving is a form of entertainment.

Puzzles serve as a form of entertainment that can be enjoyed by people of all ages. They offer a challenging and engaging activity that keeps the mind stimulated and provides hours of fun.

Puzzle solving can be a hobby.

Many individuals find pleasure in collecting and solving puzzles as a hobby. It allows them to explore different types of puzzles, challenge themselves, and continuously learn.

Puzzle solving promotes analytical thinking.

Solving puzzles requires analytical thinking and the ability to break down problems into smaller, manageable parts. It helps you develop logical reasoning skills and improves your ability to analyze complex scenarios.

Puzzle solving improves spatial awareness.

Jigsaw puzzles, in particular, can enhance spatial awareness and visual perception. They require you to analyze shapes, colors, and patterns, improving your ability to visualize and manipulate objects mentally.

Puzzle solving can be addictive.

The thrill of solving a challenging puzzle can be addictive. It keeps you motivated to solve more puzzles, pushing your limits, and seeking the satisfaction of achievement.

Puzzle solving stimulates dopamine release.

Solving puzzles triggers the release of dopamine in the brain, a neurotransmitter associated with pleasure and reward. This contributes to the feeling of satisfaction and makes puzzle solving enjoyable.

Puzzle solving improves problem-solving approaches in daily life.

The problem-solving skills honed through puzzle solving can be applied to real-life situations. It helps develop a systematic approach to problem-solving, enabling you to tackle challenges more effectively.

Puzzle solving is a timeless activity.

Regardless of advances in technology, puzzle solving remains a timeless activity. It continues to captivate and challenge individuals, providing an endless source of mental stimulation and enjoyment.

Puzzle solving is not just a pastime, but a fascinating activity that offers numerous benefits. From boosting cognitive skills to providing a sense of accomplishment, puzzles are a wonderful way to challenge ourselves and have fun at the same time. Whether you prefer crosswords, jigsaw puzzles, or brain teasers, the world of puzzle solving is vast and offers something for everyone.

So the next time you find yourself facing a puzzle, embrace the challenge and enjoy the journey. You might be surprised by how much you can learn and how rewarding the experience can be.

Q: Are puzzles only for kids?

A: Absolutely not! Puzzles are enjoyed by people of all ages. In fact, there are many puzzles specifically designed for adults that can be quite challenging.

Q: Can puzzle solving improve cognitive skills?

A: Yes, puzzle solving has been shown to enhance cognitive skills such as problem-solving, critical thinking, and memory. It can also improve concentration and focus.

Q: How can puzzles benefit mental health?

A: Solving puzzles can be a great way to relax and de-stress. It can also help to improve mood and mental well-being by providing a sense of accomplishment and satisfaction.

Q: Are there any specific types of puzzles that are particularly beneficial?

A: Different types of puzzles offer different benefits, but generally, any type of puzzle that challenges your brain can be beneficial. This includes crosswords, Sudoku, jigsaw puzzles, and logic puzzles.

Q: Can puzzle solving be a social activity?

A: Absolutely! Many people enjoy solving puzzles together with friends or family members. It can be a fun and engaging way to spend time together and collaborate on finding solutions.

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What Are Problem-Solving Skills? Definition and Examples

Zoe Kaplan

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Forage puts students first. Our blog articles are written independently by our editorial team. They have not been paid for or sponsored by our partners. See our full  editorial guidelines .

Why do employers hire employees? To help them solve problems. Whether you’re a financial analyst deciding where to invest your firm’s money, or a marketer trying to figure out which channel to direct your efforts, companies hire people to help them find solutions. Problem-solving is an essential and marketable soft skill in the workplace. 

So, how can you improve your problem-solving and show employers you have this valuable skill? In this guide, we’ll cover:

Problem-Solving Skills Definition

Why are problem-solving skills important, problem-solving skills examples, how to include problem-solving skills in a job application, how to improve problem-solving skills, problem-solving: the bottom line.

Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to consider a wide range of solutions before deciding how to move forward. 

Examples of using problem-solving skills in the workplace include:

  • Researching patterns to understand why revenue decreased last quarter
  • Experimenting with a new marketing channel to increase website sign-ups
  • Brainstorming content types to share with potential customers
  • Testing calls to action to see which ones drive the most product sales
  • Implementing a new workflow to automate a team process and increase productivity

Problem-solving skills are the most sought-after soft skill of 2022. In fact, 86% of employers look for problem-solving skills on student resumes, according to the National Association of Colleges and Employers Job Outlook 2022 survey . 

It’s unsurprising why employers are looking for this skill: companies will always need people to help them find solutions to their problems. Someone proactive and successful at problem-solving is valuable to any team.

“Employers are looking for employees who can make decisions independently, especially with the prevalence of remote/hybrid work and the need to communicate asynchronously,” Eric Mochnacz, senior HR consultant at Red Clover, says. “Employers want to see individuals who can make well-informed decisions that mitigate risk, and they can do so without suffering from analysis paralysis.”

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Problem-solving includes three main parts: identifying the problem, analyzing possible solutions, and deciding on the best course of action.

>>MORE: Discover the right career for you based on your skills with a career aptitude test .

Research is the first step of problem-solving because it helps you understand the context of a problem. Researching a problem enables you to learn why the problem is happening. For example, is revenue down because of a new sales tactic? Or because of seasonality? Is there a problem with who the sales team is reaching out to? 

Research broadens your scope to all possible reasons why the problem could be happening. Then once you figure it out, it helps you narrow your scope to start solving it. 

Analysis is the next step of problem-solving. Now that you’ve identified the problem, analytical skills help you look at what potential solutions there might be.

“The goal of analysis isn’t to solve a problem, actually — it’s to better understand it because that’s where the real solution will be found,” Gretchen Skalka, owner of Career Insights Consulting, says. “Looking at a problem through the lens of impartiality is the only way to get a true understanding of it from all angles.”

Decision-Making

Once you’ve figured out where the problem is coming from and what solutions are, it’s time to decide on the best way to go forth. Decision-making skills help you determine what resources are available, what a feasible action plan entails, and what solution is likely to lead to success.

On a Resume

Employers looking for problem-solving skills might include the word “problem-solving” or other synonyms like “ critical thinking ” or “analytical skills” in the job description.

“I would add ‘buzzwords’ you can find from the job descriptions or LinkedIn endorsements section to filter into your resume to comply with the ATS,” Matthew Warzel, CPRW resume writer, advises. Warzel recommends including these skills on your resume but warns to “leave the soft skills as adjectives in the summary section. That is the only place soft skills should be mentioned.”

On the other hand, you can list hard skills separately in a skills section on your resume .

problem solving fun facts

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In a Cover Letter or an Interview

Explaining your problem-solving skills in an interview can seem daunting. You’re required to expand on your process — how you identified a problem, analyzed potential solutions, and made a choice. As long as you can explain your approach, it’s okay if that solution didn’t come from a professional work experience.

“Young professionals shortchange themselves by thinking only paid-for solutions matter to employers,” Skalka says. “People at the genesis of their careers don’t have a wealth of professional experience to pull from, but they do have relevant experience to share.”

Aaron Case, career counselor and CPRW at Resume Genius, agrees and encourages early professionals to share this skill. “If you don’t have any relevant work experience yet, you can still highlight your problem-solving skills in your cover letter,” he says. “Just showcase examples of problems you solved while completing your degree, working at internships, or volunteering. You can even pull examples from completely unrelated part-time jobs, as long as you make it clear how your problem-solving ability transfers to your new line of work.”

Learn How to Identify Problems

Problem-solving doesn’t just require finding solutions to problems that are already there. It’s also about being proactive when something isn’t working as you hoped it would. Practice questioning and getting curious about processes and activities in your everyday life. What could you improve? What would you do if you had more resources for this process? If you had fewer? Challenge yourself to challenge the world around you.

Think Digitally

“Employers in the modern workplace value digital problem-solving skills, like being able to find a technology solution to a traditional issue,” Case says. “For example, when I first started working as a marketing writer, my department didn’t have the budget to hire a professional voice actor for marketing video voiceovers. But I found a perfect solution to the problem with an AI voiceover service that cost a fraction of the price of an actor.”

Being comfortable with new technology — even ones you haven’t used before — is a valuable skill in an increasingly hybrid and remote world. Don’t be afraid to research new and innovative technologies to help automate processes or find a more efficient technological solution.

Collaborate

Problem-solving isn’t done in a silo, and it shouldn’t be. Use your collaboration skills to gather multiple perspectives, help eliminate bias, and listen to alternative solutions. Ask others where they think the problem is coming from and what solutions would help them with your workflow. From there, try to compromise on a solution that can benefit everyone.

If we’ve learned anything from the past few years, it’s that the world of work is constantly changing — which means it’s crucial to know how to adapt . Be comfortable narrowing down a solution, then changing your direction when a colleague provides a new piece of information. Challenge yourself to get out of your comfort zone, whether with your personal routine or trying a new system at work.

Put Yourself in the Middle of Tough Moments

Just like adapting requires you to challenge your routine and tradition, good problem-solving requires you to put yourself in challenging situations — especially ones where you don’t have relevant experience or expertise to find a solution. Because you won’t know how to tackle the problem, you’ll learn new problem-solving skills and how to navigate new challenges. Ask your manager or a peer if you can help them work on a complicated problem, and be proactive about asking them questions along the way.

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Step 1 of 3

Companies always need people to help them find solutions — especially proactive employees who have practical analytical skills and can collaborate to decide the best way to move forward. Whether or not you have experience solving problems in a professional workplace, illustrate your problem-solving skills by describing your research, analysis, and decision-making process — and make it clear that you’re the solution to the employer’s current problems. 

Image Credit: Christina Morillo / Pexels 

Zoe Kaplan

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5 Problem-Solving Activities for the Classroom

Problem-solving skills are necessary in all areas of life, and classroom problem solving activities can be a great way to get students prepped and ready to solve real problems in real life scenarios. Whether in school, work or in their social relationships, the ability to critically analyze a problem, map out all its elements and then prepare a workable solution is one of the most valuable skills one can acquire in life.

Educating your students about problem solving skills from an early age in school can be facilitated through classroom problem solving activities. Such endeavors encourage cognitive as well as social development, and can equip students with the tools they’ll need to address and solve problems throughout the rest of their lives. Here are five classroom problem solving activities your students are sure to benefit from as well as enjoy doing:

1. Brainstorm bonanza

Having your students create lists related to whatever you are currently studying can be a great way to help them to enrich their understanding of a topic while learning to problem-solve. For example, if you are studying a historical, current or fictional event that did not turn out favorably, have your students brainstorm ways that the protagonist or participants could have created a different, more positive outcome. They can brainstorm on paper individually or on a chalkboard or white board in front of the class.

2. Problem-solving as a group

Have your students create and decorate a medium-sized box with a slot in the top. Label the box “The Problem-Solving Box.” Invite students to anonymously write down and submit any problem or issue they might be having at school or at home, ones that they can’t seem to figure out on their own. Once or twice a week, have a student draw one of the items from the box and read it aloud. Then have the class as a group figure out the ideal way the student can address the issue and hopefully solve it.

3. Clue me in

This fun detective game encourages problem-solving, critical thinking and cognitive development. Collect a number of items that are associated with a specific profession, social trend, place, public figure, historical event, animal, etc. Assemble actual items (or pictures of items) that are commonly associated with the target answer. Place them all in a bag (five-10 clues should be sufficient.) Then have a student reach into the bag and one by one pull out clues. Choose a minimum number of clues they must draw out before making their first guess (two- three). After this, the student must venture a guess after each clue pulled until they guess correctly. See how quickly the student is able to solve the riddle.

4. Survivor scenarios

Create a pretend scenario for students that requires them to think creatively to make it through. An example might be getting stranded on an island, knowing that help will not arrive for three days. The group has a limited amount of food and water and must create shelter from items around the island. Encourage working together as a group and hearing out every child that has an idea about how to make it through the three days as safely and comfortably as possible.

5. Moral dilemma

Create a number of possible moral dilemmas your students might encounter in life, write them down, and place each item folded up in a bowl or bag. Some of the items might include things like, “I saw a good friend of mine shoplifting. What should I do?” or “The cashier gave me an extra $1.50 in change after I bought candy at the store. What should I do?” Have each student draw an item from the bag one by one, read it aloud, then tell the class their answer on the spot as to how they would handle the situation.

Classroom problem solving activities need not be dull and routine. Ideally, the problem solving activities you give your students will engage their senses and be genuinely fun to do. The activities and lessons learned will leave an impression on each child, increasing the likelihood that they will take the lesson forward into their everyday lives.

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10 Math Tricks That Will Blow Your Mind

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Are you ready to give your mathematics skills a boost? These simple math tricks can help you perform calculations more quickly and easily. They also come in handy if you want to impress your teacher, parents, or friends.

Multiplying by 6

If you multiply 6 by an even number, the answer will end with the same digit. The number in the ten's place will be half of the number in the one's place.

Example: 6 x 4 = 24.

The Answer Is 2

  • Think of a number.
  • Multiply it by 3.
  • Divide this number by 3.
  • Subtract the number from Step 1 from the answer in Step 4.

The answer is 2.

This works because you're canceling out the number you thought of when you subtract it in the last step. You also cancel out the second step when you divide by three, so the only thing you're left with is 6 divided by 3, which is 2.

Same Three-Digit Number

  • Think of any three-digit number in which each of the digits is the same. Examples include 333, 666, 777, and 999.
  • Add up the digits.
  • Divide the three-digit number by the answer in Step 2.

The answer is 37.

This works because the sum of the digits will always be 3 times the digit, and each three-digit number is a multiple of that digit and 111. Thus, in the last step, you're effectively canceling out the digit in the division and left with 111 divided by 3, which is 37.

Six Digits Become Three

  • Take any three-digit number and write it twice to make a six-digit number. Examples include 371371 or 552552.
  • Divide the number by 7.
  • Divide it by 11.
  • Divide it by 13.

The order in which you do the division is unimportant!

The answer is the three-digit number.

Examples: 371371 gives you 371 or 552552 gives you 552.

  • A related trick is to take any three-digit number.
  • Multiply it by 7, 11, and 13.

The result will be a six-digit number that repeats the three-digit number.

Example: 456 becomes 456456.

This works because you're effectively dividing by 1,001.

The 11 Rule

This is a quick way to multiply two-digit numbers by 11 in your head.

  • Separate the two digits in your mind.
  • Add the two digits together.
  • Place the number from Step 2 between the two digits. If the number from Step 2 is greater than 9, put the one's digit in the space and carry the ten's digit.

Examples: 72 x 11 = 792.

57 x 11 = 5 _ 7, but 5 + 7 = 12, so put 2 in the space and add the 1 to the 5 to get 627.

Memorizing Pi

To remember the first seven digits of pi , count the number of letters in each word of the sentence:

"How I wish I could calculate pi."

This becomes 3.141592.

Contains the Digits 1, 2, 4, 5, 7, 8

  • Select a number from 1 to 6.
  • Multiply the number by 9.
  • Multiply it by 111.
  • Multiply it by 1001.
  • Divide the answer by 7.

The number will contain the digits 1, 2, 4, 5, 7, and 8. 

Example: The number 6 yields the answer 714,285.

Multiply Large Numbers in Your Head

To easily multiply two double-digit numbers, use their distance from 100 to simplify the math:

  • Subtract each number from 100.
  • Add these values together.
  • 100 minus this number is the first part of the answer.
  • Multiply the digits from Step 1 to get the second part of the answer.

Super Simple Divisibility Rules

You've got 210 pieces of pizza and want to know whether or not you can split them evenly within your group. Rather than whip out the calculator, use these simple shortcuts to do the math in your head:

  • Divisible by 2 if the last digit is a multiple of 2 (210).
  • Divisible by 3 if the sum of the digits is divisible by 3 (522 because the digits add up to 9, which is divisible by 3).
  • Divisible by 4 if the last two digits are divisible by 4 (2540 because 40 is divisible by 4).
  • Divisible by 5 if the last digit is 0 or 5 (9905).
  • Divisible by 6 if it passes the rules for both 2 and 3 (408).
  • Divisible by 9 if the sum of the digits is divisible by 9 (6390 since 6 + 3 + 9 + 0 = 18, which is divisible by 9).
  • Divisible by 10 if the number ends in a 0 (8910).
  • Divisible by 12 if the rules for divisibility by 3 and 4 apply.

Example: The 210 slices of pizza may be evenly distributed into groups of 2, 3, 5, 6, 10.

Finger Multiplication Tables

Everyone knows you can count on your fingers. Did you realize you can use them for multiplication? A simple way to do the "9" multiplication table is to place both hands in front of you with fingers and thumbs extended. To multiply 9 by a number, fold down that number finger, counting from the left.

Examples: To multiply 9 by 5, fold down the fifth finger from the left. Count fingers on either side of the "fold" to get the answer. In this case, the answer is 45.

To multiply 9 times 6, fold down the sixth finger, giving an answer of 54.

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  • How to Calculate a Sample Standard Deviation
  • Definition of a Percentile in Statistics and How to Calculate It
  • Slope Formula to Find Rise over Run
  • Probabilities for Rolling Two Dice
  • The Probability of Rolling a Yahtzee
  • Why Does Zero Factorial Equal One?

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5 Facts about problem solving that will improve your service desk

problem solving fun facts

By  Andrew Vermes , Kepner-Tregoe

  • IT and Communications Improve IT customer service while reducing costs. Learn more

The service desk is the hub of interaction between users and service provider organizations. Users contact the service desk when they need something and their business productivity is dependent on the service desk providing effective and timely assistance. In order to provide that assistance, service desk staff often rely on a network of other teams to provide them useful information and to follow up on problems to drive overall service quality – this is a part of a much broader problem-solving process. While most service desk staff have some understanding of how problem solving works, here are 5 facts about problem-solving that they may not know that can help improve your service desk performance.

Not all problems should be solved

There’s a tendency for technically proficient people to want to solve things; what’s important is to respond to what the users and business need. The rise of first point of contact resolution (FCR) as a metric can sometimes drive this behavior, when all the users want is to be able to complete the important task they started, which can sometimes be done more elegantly and speedily with a well chosen workaround.

Problem management and risk management share a lot in common including a strong focus on Return on Investment (ROI). Each problem that is identified as a part of the problem-solving process has a projected impact to the organization and some estimate on the likelihood and frequency of the problem happening in the future. Each problem investigation has a cost, to which we can add the cost for implementing the solution (the investment). Many Problems require investments that outweigh the potential return; these are problems that should not be solved.

Systems have problems when they go live

When a service desk takes on support for a system that has either recently been released or that is being transitioned from another service desk, one can assume that the system will bring with it a set of existing problems that are already known to someone. For new systems (or recent releases), the development team likely has lists of design decisions, engineering assumptions, issues, risks and defects that were identified but not fully resolved prior to release. If the system is transitioning to the service desk from another support team or service desk function, FAQs, Troubleshooting Guides and problem management records provide lists of known problems. All of these represent potential problems that the service desk may encounter. As a part of the knowledge transfer to the service desk, service managers should capture these known problems so the information can be retained and not lost.

Self-service incident management does not make problems go away

There is a common practice of using self-service and automated support capabilities to enable users to resolve requests and incidents without incurring the human resource costs of service desk staff. While this may be an effective operational cost avoidance technique and save money for the service desk, self-service support does not cause the problems to go away or enable your ITSM function to make the services better for the user. On the contrary, self-service incident resolution encourages the service desk and service owners to ignore underlying service issues that ultimately lead to lower service quality and increased overall cost to the organization.

The service desk may be missing or corrupting data critical to solving problems

Information can be ephemeral: sometimes existing on in the memory of the user who saw what happened; or .log files and other monitored data persists for just hours or minutes, or is deleted by a reboot. Yet Restart, Reboot, Reload and try-again later are some of the most common incident resolution instructions given to users by service desk staff. While these techniques may be effective in mitigating the impact of the incident and restoring service quickly, the un-intended impact is often the destruction of environmental conditions, context data and system log information that service as essential diagnostic tools for identifying and resolving underlying problems. Before making any of these destructive recommendations, service desk staff should pause for a moment and consider whether there is any diagnostic information that could and/or should be captured first to aid the problem-solving process.

At the same time we should make some effort to capture information that will be hard or impossible to get later: the exact time the user first saw the issue, and just as important, the last time the user was able to use that function successfully.

Every call to the service desk is a problem for someone

Service desk calls all represent an impact to normal operations of users and business processes and therefore problems that should be captured and addressed. Whether the call is regarding an access request, instructions on how to do something, a request for change, report of a bug or alerting support staff to a system outage – the user has stopped their normal work activity to engage with the service desk. Problems are not just related to incidents, they exist anytime a user has to stop what they are doing and follow a separate process before they can resume. Mining every SD interaction for improvement opportunities is already happening as companies bring together the information from each channel (email/chat/social media/phone) together.

It’s going to be even more important that mediated interactions (ones where there’s a dialogue with the user) are governed by best-in-class approaches. This will mean much faster progress toward automating what should be automated: Access requests that can be built into business onboarding processes; user interfaces made more intuitive and not require instructions; feedback and change request mechanisms embedded into systems; and better monitoring that eliminate the need for users to report when a system is broken.

The Service Desk in many organizations is an undervalued resource, used for routing and routine queries. Their role in helping to capture data that aids in diagnosis and resolution must be recognized and enriched; even understanding how the service desk adds value with each accurate piece of data can help drive increased performance.

If you are interested in problem-solving training for your service desk, Kepner-Tregoe can help! The problem-solving experts at KT have been working with companies just like yours for over 50 years to improve their employees problem-solving skills through training, consulting and facilitation.

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INTERESTING FACTS WORLD

Incredible and fun facts to explore

Problem Solving facts

While investigating facts about Problem Solving Skills and Problem Solving Techniques , I found out little known, but curios details like:

The "idiot plot". The term was popularized by film critic Roger Ebert, who defines it as "[a]ny plot containing problems that would be solved instantly if all of the characters were not idiots".

how problem solving is important?

In 2013 when Ed Sheeran's "The A Team" received a Grammy nomination Elton John tried to get Ed a performance slot at the award show, but was told he was not high-profile enough. Elton decided to perform with Ed to solve the problem.

What problem solving skills?

In my opinion, it is useful to put together a list of the most interesting details from trusted sources that I've come across answering what's problem solving. Here are 50 of the best facts about Problem Solving Strategies and Problem Solving Examples I managed to collect.

what problem-solving strategies are essentially mental shortcuts?

A cycling company was seeing a high number of its bikes getting damaged during deliveries; they solved the problem by making a simple change: printing a flatscreen television screen on the boxes. Damages were reduced by 70%

Human Evolution solves the same problem in different ways. Native Early peoples adapted to high altitudes differently: In the Andes, their hearts got stronger, in Tibet their blood carries oxygen more efficiently.

The Plague solved an overpopulation problem in 14th century Europe. In the aftermath wages increased, rent decreased, wealth was more evenly distributed, diet improved and life expectancy increased.

Girgori Perelman, the only person in history to have solved one of the seven Millennium Prize Problems. After solving the Poincaré conjecture Perelman was offered the Field's Medal and $1 million prize money, he declined them both.

The town of Shitterton, England, kept getting its town sign stolen. In 2010, they finally solved the problem by installing a 1.6 tonne concrete slab with the town name inscribed on it.

Walking before solving a problem improves your creativity by an average of 60%.

In 1984, a episode of Thomas The Tank Engine featured an engine, Henry, who refused to go out in the rain. To solve the problem, the workers boarded Henry up in a cave and abandoned him.

To solve the problem of communicating to humans 10,000 years from now about nuclear waste sites one solution proposed was to form an atomic priesthood like the catholic church to preserve information of locations and danger of nuclear waste using rituals and myths.

George Dantzig, who was late to class and solved two famously unsolved statistics problems because he thought they were homework.

A Russian mathematician solved a 100 year old math problem. He declined the Fields medal, $1 million in awards, and later retired from math because he hated the recognition the math community gives to people who prove things

problem solving facts

Problem Solving data charts

For your convenience take a look at Problem Solving figures with stats and charts presented as graphic.

problem solving fact data chart about Monte Hall Problems Solved Using Computer Science. 100,000 T

Related Topics to explore further why problem solving is important?

  • Cognitive Ability
  • Critical Thinking
  • Decision Making
  • Social Interactions
  • Cognitive Functions
  • Recognize Mirrors
  • Cognitive Abilities
  • Solve Puzzles
  • Solve Complex

Why problem solving skills are important?

You can easily fact check why problem solving is important in the workplace by examining the linked well-known sources.

Nazi official Herbert Backe, who masterminded the WWII program to starve Eastern Europe. After the Allied victory he flew to Eisenhower's headquarters, perceiving himself as a leading expert on solving hunger problems and expecting a discussion with the general. He was imprisoned.

The mathematician George Dantzig solved two of the most famous problems of statistics, because he came into class too late to hear that they were supposed to be unsolvable - source

Chinese mathematician Yitang Zhang could not get an academic job upon graduating, having to work as an accountant and a delivery worker for a New York City restaurant. He later went on to solve a math problem that had been unsolved for 150 years and won a MacArthur Genius Grant - source

After running late to a class, George Dantzig copied down two problems he thought were homework and solved them. The two problems were in fact two famous unsolved problems in statistics, which later earned him his doctorate.

Dogs have 'Eureka moments' and enjoy the experience of solving a problem in order to obtain a reward. - source

When does the army problem solving process end?

The Honeybee is probably the smartest insect species existing, their unusual and impressive skill set include: "Advanced symbolic communication, language, facial recognition, number use, observation and mimicry, understanding of rules, and high-level problem-solving."

How problem solving skills develop?

Punchcards were invented to solve the problem of the 1890 US Census. It took 8 years to process the data of the 1880 census, so Herman Hollerith invented punch cards for tabulation, ushering in the era of data storage, databases, and supercomputers.

In 1900, a German mathematician outlined a list of 23 unsolved problems in mathematics that he hoped would be solved in the 20th century. As of 2015, only 10 have been answered.

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.

It is suggested that staring at fire improved brain functions such as memory and problem solving in early humans

Crows are smart as great apes and able to show: imagination, the anticipation of possible future events, to solve problems which require abstract reasoning. Problems which once were only thought possible by humans and great apes.

Problem solving infographics

Beautiful visual representation of Problem Solving numbers and stats to get perspecive of the whole story.

problem solving fact data chart about How would you solve this problems of society ?

How would you solve this problems of society ?

When solving a problem which best describes you.

Mileva Maric, Albert Einstein's first wife, was one of the first female physicists in the world. There is evidence she contributed greatly to Einstein's research, including his theory of special relativity. Einstein once said, "She solves for me all my mathematical problems."

Ants manage large-scale infrastructure projects with no coordination at all. Each ant acts alone, solving problems such as removing obstructions as they are encountered. Research points to the simple, evolutionary energy-saving principle of: "If you do not need to communicate, don't!"

Singapore managed to solve their housing problem by building apartment buildings and leasing cheap apartments on 100 year leases. Only allowing a single lease per citizen.

Puerto Rico is solving its iguana problem by putting the meat on menus (and they call it the chicken of the trees!)

How problem solving skills?

When Jimmy Kimmel asked a group of children how to solve America's debt problem after telling them "America owes China a lot of money, $1.3 trillion" one kid responded with "kill everyone in china."

The Unabomber was so smart that for his PHD thesis he solved a math problem that even his own math professor couldn't solve. Another math professor said of his thesis "I'd guess that only 10 or 12 people in the country could understand or appreciate it."

The Greek mathematician Archimedes was killed during the siege of Syracuse when he refused to acknowledge his Roman captors because he was too engrossed in solving a math problem.

Cows enjoy solving problems and have been known to jump into the air excitedly when they finally crack a tough one.

Giant manta ray have the largest brain of any fish — with especially developed areas for learning, problem solving and communicating. Giant manta rays are known to be playful and curious and might even recognize themselves in mirrors, a sign of self-awareness.

Oxford University Professor Sir Andrew Wiles was awarded the Abel Prize and $700,000 in 2016 for solving a 358-year-old math problem known as “Fermat’s Last Theorem.” Fermat himself claimed to have found proof for the theorem, but the margins of his notes weren’t wide enough to contain it.

There are seven mathematic problems, so called "Millenium Problems", with a prize tag of $1 million attached to each of them. One got solved and the mathematician (Perelman) rejected the prize because he thinks it's unfair.

There is an organisation that believes in voluntary human extinction to solve the worlds problems.

Volkswagen won an Ig Nobel prize for " for solving the problem of excessive automobile pollution emissions by automatically, electromechanically producing fewer emissions whenever the cars are being tested."

Astronaut Chris Hadfield once described problem-solving in NASA as "methodically looking for a solution until you run out of oxygen"

About Thomas Fuller an illiterate enslaved African whose Math Genius shocked Colonists, capable of quickly solving math problems in his head he earned the title of “The Mental Calculator” serving as a figurehead of Africans not being mentally inferior to Whites further abolitionist efforts

Czechoslovakian car company, Tatra, sued Ferdinand Porsche for patent infringement, due to similarity in design between the VW Beetle and the Tatra V570. Hitler said he would "solve his problem," subsequently invading Czechoslovakia in 1938. The lawsuit was dropped soon after.

Two thirds of an octopuses neurons reside in their tentacles, and that the tentacles can essentially problem solve on their own.

This is our collection of basic interesting facts about Problem Solving . The fact lists are intended for research in school, for college students or just to feed your brain with new realities. Possible use cases are in quizzes, differences, riddles, homework facts legend, cover facts, and many more. Whatever your case, learn the truth of the matter why is Problem Solving so important!

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IMAGES

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COMMENTS

  1. 15 Facts About Problem Solvers

    The Importance of Problem Solving. 01. Critical thinking and creativity are fostered in problem solvers, making them invaluable in both professional and personal settings. This skill set allows for the efficient tackling of complex issues, leading to innovative solutions that can drive progress and development. 02.

  2. Problem solving Facts for Kids

    Kids Encyclopedia Facts. Problem solving is a mental activity related to intelligence and thinking. It consists of finding solutions to problems. A problem is a situation that needs to be changed. It suggests that the solution is not totally obvious, for then it would not be a problem. A great deal of human life is spent solving problems.

  3. 20 Fascinating Math Facts to Amaze and Inspire

    6. The Lone "A" in "One Thousand". Out of all the numbers from 0 to 1000, only "one thousand" contains the letter "a.". This fact adds an intriguing element to the number's representation and showcases the unique role of the letter "a" in the English language. 7.

  4. 22 Unbeatable Team Building Problem Solving Activities

    Problem-solving is a critical skill for professionals and with team building problem-solving activities, you can sharpen your skills while having fun at the same time. Updated: March 1, 2024. In the professional world, one thing is for sure: problem-solving is a vital skill if you want to survive and thrive.

  5. Best 20 Problem-Solving Activities to Challenge Your Team

    Quick and easy problem-solving activities 12. Unpuzzled (in-person, virtual, hybrid) Activity Focus Areas: Communication, reasoning, collaboration under time pressure. Objective: Unpuzzled is an engaging team-building game that combines problem-solving and trivia elements. The goal is for each team to work collaboratively to solve a series of puzzles and then unscramble them to uncover a meta ...

  6. 17 Fun Problem Solving Activities & Games [for Kids ...

    For this problem solving activity for older kids or teens, you will need four 2×6 boards. Divide your group into two teams with an equal number of children on each team. Place two of the four boards end to end on the ground or floor. Set the other two parallel to the first two about two or three feet apart.

  7. 8 Consistent Behaviors Of Practically Perfect Problem Solvers

    Men tended to act more independently. If you're going to solve a problem quickly, involve those around you and share the glory. 4. They know how to explain the problem and solution effectively. A ...

  8. What is Problem Solving? (Steps, Techniques, Examples)

    The problem-solving process typically includes the following steps: Identify the issue: Recognize the problem that needs to be solved. Analyze the situation: Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present. Generate potential solutions: Brainstorm a list of possible ...

  9. Problem Solving Games, Activities & Exercises for Adults

    4. Sudoku. Sudoku is one of the most popular free problem solving games for adults. The objective of this game is to fill each box of a 9×9 grid so that every row, column, and letter contains each number from one to nine. The puzzle makes a great team challenge. To play Sudoku on Zoom, screen share the game board.

  10. 13 Problem-Solving Activities & Exercises for Your Team

    Here are nine easy-to-implement activities that can bring substantial change to your team culture and overall workplace dynamics. #1. Crossword Puzzles. Objective: To enhance problem-solving skills, vocabulary, and cognitive abilities through engaging crossword puzzles. Estimated Time: 15-20 Minutes.

  11. 44 Powerful Problem Solving Activities for Kids

    By honing their problem-solving abilities, we're preparing kids to face the unforeseen challenges of the world outside. Enhances Cognitive Growth: Otherwise known as cognitive development. Problem-solving isn't just about finding solutions. It's about thinking critically, analyzing situations, and making decisions.

  12. Amazing Algebra Facts To Make You Better At Problem Solving

    The Babylonians were able to solve complex problems that we can today solve by using quadratic equations, linear equations, and indeterminate linear equations. The Greeks, Chinese, and Egyptians in the 1st millennium BC were solving mathematic equations including rhetorical algebra, abstract algebra, or advanced mathematics concepts.

  13. 40 problem-solving techniques and processes

    7. Solution evaluation. 1. Problem identification. The first stage of any problem solving process is to identify the problem (s) you need to solve. This often looks like using group discussions and activities to help a group surface and effectively articulate the challenges they're facing and wish to resolve.

  14. 10 Best Problem-Solving Therapy Worksheets & Activities

    We have included three of our favorite books on the subject of Problem-Solving Therapy below. 1. Problem-Solving Therapy: A Treatment Manual - Arthur Nezu, Christine Maguth Nezu, and Thomas D'Zurilla. This is an incredibly valuable book for anyone wishing to understand the principles and practice behind PST.

  15. 17 Smart Problem-Solving Strategies: Master Complex Problems

    Knowing different ways to solve problems helps you tackle anything that comes your way, making life a bit easier and more fun! 17 Effective Problem-Solving Strategies Effective problem-solving strategies include breaking the problem into smaller parts, brainstorming multiple solutions, evaluating the pros and cons of each, and choosing the most ...

  16. 17 Fascinating Facts About Puzzle Solving

    Key Takeaways: Puzzle solving is not just a modern trend - it's been around for centuries and offers a fun way to exercise your brain, reduce stress, and boost problem-solving skills.; Engaging in puzzle solving promotes creativity, enhances memory, and can be a social activity, providing endless entertainment and timeless enjoyment.

  17. What Are Problem-Solving Skills? Definition and Examples

    Problem-Solving Skills Definition. Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to ...

  18. 5 Problem-Solving Activities for the Classroom

    2. Problem-solving as a group. Have your students create and decorate a medium-sized box with a slot in the top. Label the box "The Problem-Solving Box.". Invite students to anonymously write down and submit any problem or issue they might be having at school or at home, ones that they can't seem to figure out on their own.

  19. 10 Math Tricks That Will Blow Your Mind

    This is a quick way to multiply two-digit numbers by 11 in your head. Separate the two digits in your mind. Add the two digits together. Place the number from Step 2 between the two digits. If the number from Step 2 is greater than 9, put the one's digit in the space and carry the ten's digit. Examples: 72 x 11 = 792.

  20. Team Building Exercises

    In this article, we'll look at three team-building exercises that you can use to improve problem solving and decision making in a new or established team. Exercises to Build Decision-Making and Problem-Solving Skills. Use the following exercises to help your team members solve problems and make decisions together more effectively.

  21. Fun Brain Games, Puzzles and Quizzes for Everyone

    Take the Quiz. Star Wars Quiz. Take the Quiz. Harry Potter Quiz. Take the Quiz. Book Trivia Quiz. Take the Quiz. From brain-busting riddles to clever quizzes, this selection of fun brain games ...

  22. 5 Facts about problem solving that will improve your service desk

    If you are interested in problem-solving training for your service desk, Kepner-Tregoe can help! The problem-solving experts at KT have been working with companies just like yours for over 50 years to improve their employees problem-solving skills through training, consulting and facilitation.

  23. 50+ Intriguing Problem Solving Facts How Many Did You Know

    Problem Solving facts. While investigating facts about Problem Solving Skills and Problem Solving Techniques, I found out little known, but curios details like:. The "idiot plot". The term was popularized by film critic Roger Ebert, who defines it as "[a]ny plot containing problems that would be solved instantly if all of the characters were not idiots".

  24. 45 Genius Problem-Solving Products

    45 Problem-Solving Products That'll Make You Feel Like A Total Genius For Owning Them. ... Plus I mean, 🎶 rubber ducky, you're the one, you make bath time lots of fun 🎶 . ...