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Sudoku for Beginners: How to Improve Your Problem-Solving Skills
Are you a beginner when it comes to solving Sudoku puzzles? Do you find yourself frustrated and unsure of where to start? Fear not, as we have compiled a comprehensive guide on how to improve your problem-solving skills through Sudoku.
Understanding the Basics of Sudoku
Before we dive into the strategies and techniques, let’s first understand the basics of Sudoku. A Sudoku puzzle is a 9×9 grid that is divided into nine smaller 3×3 grids. The objective is to fill in each row, column, and smaller grid with numbers 1-9 without repeating any numbers.
Starting Strategies for Beginners
As a beginner, it can be overwhelming to look at an empty Sudoku grid. But don’t worry. There are simple starting strategies that can help you get started. First, look for any rows or columns that only have one missing number. Fill in that number and move on to the next row or column with only one missing number. Another strategy is looking for any smaller grids with only one missing number and filling in that number.
Advanced Strategies for Beginner/Intermediate Level
Once you’ve mastered the starting strategies, it’s time to move on to more advanced techniques. One technique is called “pencil marking.” This involves writing down all possible numbers in each empty square before making any moves. Then use logic and elimination techniques to cross off impossible numbers until you are left with the correct answer.
Another advanced technique is “hidden pairs.” Look for two squares within a row or column that only have two possible numbers left. If those two possible numbers exist in both squares, then those two squares must contain those specific numbers.
Benefits of Solving Sudoku Puzzles
Not only is solving Sudoku puzzles fun and challenging, but it also has many benefits for your brain health. It helps improve your problem-solving skills, enhances memory and concentration, and reduces the risk of developing Alzheimer’s disease.
In conclusion, Sudoku is a great way to improve your problem-solving skills while also providing entertainment. With these starting and advanced strategies, you’ll be able to solve even the toughest Sudoku puzzles. So grab a pencil and paper and start sharpening those brain muscles.
This text was generated using a large language model, and select text has been reviewed and moderated for purposes such as readability.
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What Kind of Problem Solver Are You?
Anne Manning explores thinking styles and how to best maximize each individual's contributions in the process of nurturing new ideas.
Today’s professionals are under pressure to keep the ideas coming and to deliver new products, services, and organizational changes that provide real value.
However, generating and nurturing new ideas is a team effort—and one that can easily waste time and create chaos and conflict among team members. The good news is that the process of bringing new ideas to fruition can be highly productive if we can learn to work together more effectively.
Valuing the Role of Different Thinkers
The first step in truly collaborative creative thinking is understanding the roles that different types of thinkers play in the process of solving problems and evaluating new ideas.
Consider the following situations to help figure out where you fit.
Imagine This Scenario:
Usability testing has unveiled some big issues with your company’s new software application. You’ve been asked to take part in a meeting to come up with potential solutions. What’s likely to be your first contribution to the meeting discussion?
a) You ask for the full report from the usability testing team.
b) You suggest two approaches for solving the issue, then make additional suggestions for an overall improved user experience.
c) You help others understand why some suggested fixes aren’t feasible, particularly in the launch timeframe.
d) You lay out the team members and steps that will be required to implement the proposed solution.
Now Envision Scenario 2:
Your manager has come up with an idea for dramatically increasing sales this quarter through a special promotion. You think the promotion is ill conceived and, if implemented, will distract the sales force. What action do you take?
a) Sit down with your boss to identify recent purchasing trends and assess the promotion concept by audience.
b) Tell your boss about three ideas you have for alternative promotions.
c) Send your boss a detailed email outlining the risks of the promotion.
d) Work with your boss to put all the pieces in place to give the promotion a fighting chance.
There’s no one right answer to the questions above. In fact, by choosing any of the answers, you’re playing a key role in the success of your company. We all take different approaches to generating new ideas, solving problems, and addressing opportunities.
In the program Creative Thinking: Innovative Solutions to Complex Challenges , we explore a popular framework developed by FourSight , which identifies each of our problem-solving preferences, what these preferences mean for problem solving and breakthrough thinking, and what effect we have on colleagues with other preferences.
Creative Thinking: Innovative Solutions to Complex Challenges
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Understanding Your Style of Problem Solving
So, what kind of thinker do you think you are? Here are some hints:
If you selected a) in the scenarios above, you’re likely a Clarifier.
Methodical, serious, and deliberate, Clarifiers are hungry for more information on an idea. That means they ask a lot of questions, point out obstacles, and help keep everyone around them focused on the objective. Clarifiers may sometimes seem to be holding up the works by constantly asking questions or reframing the conversation. But to move forward, teams need the clarity that emerges from Clarifiers’ interventions.
If you selected b), you may be an Ideator.
Ideators are the “crazy creative” people in an organization with a ton of big ideas. They can be highly visible and influential, but not always practical. Ideators can also annoy colleagues because they won’t land anywhere specific—there’s always something new brewing in their minds. Some of their ideas just won’t work and all will need refinement. But these big-picture thinkers can be the source of very important breakthroughs.
If you selected c), you’re likely a Developer.
Developers like to get to know an idea, evaluate alternative ways of approaching it, and constantly make improvements. Because they excel in finding flaws in ideas and pointing out why something won’t work, their colleagues may view them as overly critical. However, the work that Developers do is crucial to transforming a good idea into a practical solution.
If you selected d), you may be an Implementer.
Implementers are focused on getting the project done. When others are generating and refining ideas, Implementers can become frustrated by what they view as a lack of progress when others are generating and refining ideas. Implementers may irk fellow members because they want to move on before critical analysis can be completed. But once the project has identified the concrete steps to be executed, they’re best at keeping everything on track.
Maximizing the Value of Everyone’s Contribution
Given these different types of thinkers, it’s easy to see how colleagues can drive one another crazy, derail good ideas, and waste time as they try to solve a problem. Ideators, for example, often find themselves crushed by a bureaucratic organizational culture; Clarifiers and Developers can earn reputations for being naysayers or slowing down projects; and Implementers can be accused of forestalling critical steps and marching ahead efficiently in the wrong direction.
But, as the saying goes, there’s a time and a place for everything. When we proceed through the steps from identifying a problem to formulating and delivering an effective solution, each type of thinking—and doing—makes a crucial contribution. Every project needs all four types of thinkers to get off the ground.
The next time you’re working with a team to solve a challenge or develop new ideas, think about how you can help to harmonize the different kinds of thinkers on your team and ensure that each person delivers value. At each step in the process, discuss whether it’s the right time for ideas, decisions, or refinements. By creating clarity through concrete ground rules (such as, “No questions right now”), you can get the most value from the talent in the room at every point along the way.
As you learn to appreciate your colleagues’ contributions—and make the most of your own contributions—you’ll discover that you are working more effectively together and, more importantly, truly helping your organization.
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About the Author
Manning is a founding partner of Drumcircle and an Innovation Fellow with Encore.org, and brings over 25 years of experience working with senior executives at Fortune 500 firms.
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35 problem-solving techniques and methods for solving complex problems
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All teams and organizations encounter challenges as they grow. There are problems that might occur for teams when it comes to miscommunication or resolving business-critical issues . You may face challenges around growth , design , user engagement, and even team culture and happiness. In short, problem-solving techniques should be part of every team’s skillset.
Problem-solving methods are primarily designed to help a group or team through a process of first identifying problems and challenges , ideating possible solutions , and then evaluating the most suitable .
Finding effective solutions to complex problems isn’t easy, but by using the right process and techniques, you can help your team be more efficient in the process.
So how do you develop strategies that are engaging, and empower your team to solve problems effectively?
In this blog post, we share a series of problem-solving tools you can use in your next workshop or team meeting. You’ll also find some tips for facilitating the process and how to enable others to solve complex problems.
Let’s get started!
How do you identify problems?
How do you identify the right solution.
- Tips for more effective problem-solving
Complete problem-solving methods
- Problem-solving techniques to identify and analyze problems
- Problem-solving techniques for developing solutions
Problem-solving warm-up activities
Closing activities for a problem-solving process.
Before you can move towards finding the right solution for a given problem, you first need to identify and define the problem you wish to solve.
Here, you want to clearly articulate what the problem is and allow your group to do the same. Remember that everyone in a group is likely to have differing perspectives and alignment is necessary in order to help the group move forward.
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 scary for people to stand up and contribute, especially if the problems or challenges are emotive or personal in nature. Be sure to try and create a psychologically safe space for these kinds of discussions.
Remember that problem analysis and further discussion are also important. Not taking the time to fully analyze and discuss a challenge can result in the development of solutions that are not fit for purpose or do not address the underlying issue.
Successfully identifying and then analyzing a problem means facilitating a group through activities designed to help them clearly and honestly articulate their thoughts and produce usable insight.
With this data, you might then produce a problem statement that clearly describes the problem you wish to be addressed and also state the goal of any process you undertake to tackle this issue.
Finding solutions is the end goal of any process. Complex organizational challenges can only be solved with an appropriate solution but discovering them requires using the right problem-solving tool.
After you’ve explored a problem and discussed ideas, you need to help a team discuss and choose the right solution. Consensus tools and methods such as those below help a group explore possible solutions before then voting for the best. They’re a great way to tap into the collective intelligence of the group for great results!
Remember that the process is often iterative. Great problem solvers often roadtest a viable solution in a measured way to see what works too. While you might not get the right solution on your first try, the methods below help teams land on the most likely to succeed solution while also holding space for improvement.
Every effective problem solving process begins with an agenda . A well-structured workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.
In 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!
Tips for more 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.
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!
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
- Lightning Decision Jam
- Problem Definition Process
- Discovery & Action Dialogue
Design Sprint 2.0
- Open Space Technology
1. 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.
2. 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 The problem with anything that requires creative thinking is that it’s easy to get lost—lose focus and fall into the trap of having useless, open-ended, unstructured discussions. Here’s the most effective solution I’ve found: Replace all open, unstructured discussion with a clear process. What to use this exercise for: Anything which requires a group of people to make decisions, solve problems or discuss challenges. It’s always good to frame an LDJ session with a broad topic, here are some examples: The conversion flow of our checkout Our internal design process How we organise events Keeping up with our competition Improving sales flow
3. 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.
4. 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.
5. World Cafe
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.
6. 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.
7. 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.
8. 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!
- The Creativity Dice
- Fishbone Analysis
- Problem Tree
- SWOT Analysis
- Agreement-Certainty Matrix
- The Journalistic Six
- LEGO Challenge
- What, So What, Now What?
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.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
16. Speed Boat
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.
17. 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.
18. 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.
19. 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!
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 developing 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 narrow down to the correct solution.
Use these problem-solving techniques when you want to help your team find consensus, compare possible solutions, and move towards taking action on a particular problem.
- Improved Solutions
- Four-Step Sketch
- 15% Solutions
- How-Now-Wow matrix
- Impact Effort Matrix
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.
22. 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.
23. 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
24. 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.
25. 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.
26. 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.
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.
- Doodling Together
- Show and Tell
- Draw a Tree
28. 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.
29. 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.
30. 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.
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.
32. 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.
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
- Who What When Matrix
- Response Cards
How do I conclude a problem-solving process?
All good things must come to an end. With the bulk of the work done, it can be tempting to conclude your workshop swiftly and without a moment to debrief and align. This can be problematic in that it doesn’t allow your team to fully process the results or reflect on the process.
At the end of an effective session, your team will have gone through a process that, while productive, can be exhausting. It’s important to give your group a moment to take a breath, ensure that they are clear on future actions, and provide short feedback before leaving the space.
The primary purpose of any problem-solving method is to generate solutions and then implement them. Be sure to take the opportunity to ensure everyone is aligned and ready to effectively implement the solutions you produced in the workshop.
Remember that every process can be improved and by giving a short moment to collect feedback in the session, you can further refine your problem-solving methods and see further success in the future too.
33. 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.
34. 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.
35. 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.
Save time and effort discovering the right solutions
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!
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 creative 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!
thank you very much for these excellent techniques
Certainly wonderful article, very detailed. Shared!
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8 Types Of Problem-Solving Techniques For Businesses
April 13, 2023 in Tools
In the constantly evolving business world, challenges are inevitable. From financial setbacks to conflicts within the workplace, businesses face a range of problems that require immediate attention and practical solutions . Solving problems quickly and efficiently is crucial for a company’s success. In this article, we’ll take a closer look at different types of problem-solving techniques for businesses that one can use to tackle challenges and achieve their goals.
Table of Contents
Problem-Solving in Business: Implementing Best Techniques
Problem-solving is essential for any business to navigate challenges and achieve its objectives. It requires a systematic and analytical approach that can help identify a problem’s root cause and develop practical solutions . Businesses can use various problem-solving techniques to tackle different types of challenges.
Effective problem-solving in business involves several steps, including:
Identifying The Problem
Solving problems begins with identifying the issue or challenge that needs a solution.
Identifying the issue is the first step; the next is learning as much as possible about it.
Developing Potential Solutions
You can develop potential solutions to the problem based on the information gathered.
Evaluating And Selecting The Best Solution
Once you find potential answers, please choose the best one after scrutinizing them.
Implementing The Solution
Then implement the best course of action in a deliberate and carefully considered manner.
Monitoring And Evaluating The Outcome
Finally, monitoring and assessing how well the solution works to solve the issue is crucial.
Why is Problem-Solving important for your Business?
Here are some of the reasons why problem-solving is vital for your business:
When you can solve problems quickly and effectively, you can save time and resources , increasing productivity.
Boosts Customer Satisfaction
When you solve problems promptly, your customers are more likely to feel satisfied with your business and are more likely to return and refer others.
You will be better prepared to face unexpected challenges and overcome obstacles if you develop problem-solving skills.
Problem-solving skills enable you to make more informed decisions by analyzing and evaluating various options.
When you solve problems, you can identify new opportunities and develop innovative solutions to improve your business .
Problem-solving requires collaboration and communication , which can enhance teamwork and build employee trust.
Types Of Problem-Solving Techniques For Businesses:
Here are some of the most effective problem-solving techniques for businesses:
Heuristic problem-solving involves using intuitive and creative ways to solve complicated problems. It relies on past experiences, trial-and-error, and alternative perspectives to generate novel ideas and facilitate decision-making.
Analyzing future costs and advantages of a project or course of action using cost-benefit is a decision-making technique. It compares the expected prices and benefits to determine if the action is economically feasible.
A decision tree is a visual tool that maps out different choices and their potential outcomes in a systematic way. It frequently aids in determining the optimal course of action based on several variables and their corresponding probability.
TRIZ (Theory of Inventive Problem Solving)
The TRIZ framework for issue-solving employs a systematic method to produce creative solutions. It involves identifying and resolving contradictions, analyzing past resolutions, and using scientific principles to create novel ideas. You can use TRIZ in various industries, including corporate management and engineering.
Agile problem-solving is a collaborative approach to finding solutions to complex issues. It emphasizes flexibility, adaptation, and continuous improvement through short iterations and frequent feedback.
An effective visual method for organizing thoughts and ideas is mind mapping . It involves creating a diagram connecting related concepts, themes, and subtopics, allowing creative brainstorming and problem-solving.
Pareto analysis is a decision-making technique that helps identify the most significant problems or causes that lead to the majority of undesirable outcomes, using the Pareto principle (80/20 rule) to prioritize improvement efforts.
A mathematical method for simulating how decision-makers interact strategically is called game theory . It involves analyzing each player’s options, potential outcomes, and payoffs to identify the optimal strategy and equilibrium solutions.
Q1. What are some common types of problem-solving techniques for businesses?
Ans . Standard business problem-solving techniques include root cause analysis, SWOT analysis, fishbone diagram, Pareto analysis, and Six Sigma methodology.
Q2. How does the problem-solving PDCA cycle work?
Ans . An approach to improving company operations is the Plan-Do-Check-Act (PDCA) cycle. It involves planning a solution, implementing it, checking the results, and acting on necessary changes to the plan to achieve better results.
Q3. How might corporations use design thinking to solve issues?
Ans . Understanding the demands of the users or consumers is the primary goal of the problem-solving strategy known as design thinking . Businesses can use design thinking to create innovative solutions that address user needs and solve complex problems.
Q4. What distinguishes analytical problem-solving methods from creative ones?
Ans . Analytical problem-solving techniques involve breaking down a problem into smaller parts and analyzing each piece to identify the root cause. Creative problem-solving methods involve using unconventional thinking to generate new ideas and solutions.
Q5. How can businesses use decision trees to solve problems?
Ans . A graphic representation of the many possible outcomes is a decision tree. Businesses can use decision trees to evaluate different options and make informed decisions based on the probability of different outcomes.
Q6. What distinguishes proactive problem-solving from reactive problem-solving?
Ans . Reactive problem-solving involves responding to a problem after it has occurred. Proactive problem-solving consists in identifying potential issues and addressing them before they occur. Businesses can use reactive and proactive problem-solving techniques to manage risks and improve their operations.
Q7. How can businesses use Lean methodology to solve problems?
Ans. A problem-solving strategy known as the lean methodology aims to cut waste and boost productivity. Businesses can utilize the Lean technique to improve customer happiness, cut expenses, and streamline operations.
Over To You
Businesses can benefit significantly from using problem-solving techniques to tackle their challenges. From brainstorming to root cause analysis, each method offers a unique approach to identifying and resolving issues.
The key is determining the best technique for the specific problem and then approaching it systematically and logically. By embracing problem-solving techniques, businesses can improve their problem-solving skills, boost productivity, and achieve their goals.
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Types of Problem Solving
Mcat psychology - chapter 2- section 4 - cognition - intelligence & problem-solving.
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Sample MCAT Question - Types of Problem Solving
Which of the following involves inducing structure problem solving?
b) Series Completion
c) Tower of Hanoi
d) All of the above
B is correct , In series completion, a problem solver must determine the next item in a series. This is an example of inducing structure, which requires the problem solver to identify the relations or patterns between items in the problem. Therefore, series completion is the correct answer. Answer choice A is incorrect because anagram, which is a type of problem that involves rearranging letters to form a word, is an example of arrangement. Arrangement is a type of problem solving in which the problem solver must arrange different objects in a specific way that satisfies some criterion. Answer choice C is incorrect because the Tower of Hanoi problem is an example of transformation. Transformation is a type of problem solving in which the problem solver must carry out a sequence of transformations in order to complete a specified goal.
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Types of Problem Solving for the MCAT
Understanding the psychological aspects of problem-solving is a critical part of MCAT preparation. This article explores several facets of problem-solving that are pertinent to your MCAT studies, focusing on three principal types: inducing structure, arrangement, and transformation.
One type of problem-solving is inducing structure , which involves a person identifying the relations or patterns between the items in a problem. There are many types of problems that involve inducing structure. An example of an inducing structure problem is series completion , where a number of items in a series are presented in a specific order. These problems typically involve identifying a pattern and determining the next item in the series. For example, consider the series: 1, 2, 3, 9, 4, 5, 6, 6. This series is counting up like 1, 2, 3, 4, 5, 6, and in between these numbers are 9 and 6, which are decreasing by three. Based on this, what comes next in the sequence would be continuing to count up: 7, 8, 9. Then, since 9 and 6 are decreasing by three, the number 3 should come next: 1, 2, 3, 9, 4, 5, 6, 6, 7, 8, 9, 3. Another example is the series: A5E9. The transition from A to E is four letters, and the transition from 5 to 9 is four numbers. The letters and numbers should be expected to continue by 4, so the continued series should read: A5E9I13.
Another type of inducing structure is analogy problems , which involve being given an example of a relationship and then applying it to a new situation or topic. An example of an analogy is, “grocery market is to fruits and vegetables, as pharmacy is to: what?” First, the relationship between a grocery market and fruits and vegetables must be determined. Grocery markets sell fruits and vegetables. Pharmacies sell medication, which would be the answer to the analogy. Another example of an analogy is, “salesperson is to client, as physician is to: what?” Salespersons work with clients, and physicians work with patients, which would be the answer to this analogy.
Another type of problem-solving is arrangement. In problems of arrangement , different objects must be arranged in a specific way to satisfy some criteria. The objects can be arranged in many ways, but only one or a few arrangements form a solution.
An example of an arrangement problem is anagrams. In anagrams , several letters can be rearranged to make a word. For example, K, J, I, C, H, and A can be rearranged to form the word ‘hijack.’ Y, Y, A, A, N, and W can be rearranged to form the word ‘anyway.’ Another example of an arrangement problem is known as the String Problem , which is depicted in Figure 1. Two strings hanging from a ceiling need to be tied together. However, they are so far apart that when a person grabs one string, they are too far away to grab the other. On a table, there is a pair of pliers, and the problem requires determining how to tie the strings together with the given materials.
As seen in Figure 2, the solution to this problem is to take the pliers and tie it to one of the strings to create a pendulum. As you are holding one string, the pliers can swing towards you in the air like a pendulum, allowing you to grab the other string and tie the two strings together. The String Problem demonstrates how the arrangement of objects in a specific way can facilitate problem-solving.
Another type of problem-solving is problems of transformation , where a sequence of transformations must be carried out in order to complete a specified goal. These problems involve an initial state, a goal state, and a problem space that describes all possible maneuvers. An example is the Tower of Hanoi , which is depicted in Figure 3. There are three pegs: A, B, and C. Initially, there are usually three rings on Peg A, with the largest ring on the bottom and the smallest ring on the top. This represents the initial state. The goal state is to have the same three rings on Peg C. To get from the initial state to the goal state, the rings can be moved. However, only one ring can be moved at a time, and a larger ring cannot be placed on a smaller ring. The possible maneuvers that can be carried out represent the problem space.
Another example of a problem of transformation is the Water Jug Problem , where there is a 37 cup jar, a 12 cup jar, and a five cup jar. These three jars are initially empty, but water can be drawn and discarded from these jars an infinite number of times. The goal is to measure out exactly 10 cups of water, but none of the jars can hold exactly 10 cups of water; the jars must be used in some way to get exactly 10 cups of water. This problem can be approached by representing each jar as a letter: the 37 cup jar is A, the 12 cup jar is B, and the five cup jar is C. A can be filled to hold 37 cups of water. This can be poured into B, getting rid of 12 cups of water and leaving A with 25 cups of water. If this is now poured into C, it removes another five cups of water. If A is poured into C three times, it will remove 15 cups of water and leave A with 10 cups of water. The Tower of Hanoi and Water Jug Problems are transformation problems because they require a certain sequence of transformations to be performed to go from the initial state to the goal state.
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7. Thinking and Intelligence
Problem solving, learning objectives.
By the end of this section, you will be able to:
- Describe problem solving strategies
- Define algorithm and heuristic
- Explain some common roadblocks to effective problem solving
People face problems every day—usually, multiple problems throughout the day. Sometimes these problems are straightforward: To double a recipe for pizza dough, for example, all that is required is that each ingredient in the recipe be doubled. Sometimes, however, the problems we encounter are more complex. For example, say you have a work deadline, and you must mail a printed copy of a report to your supervisor by the end of the business day. The report is time-sensitive and must be sent overnight. You finished the report last night, but your printer will not work today. What should you do? First, you need to identify the problem and then apply a strategy for solving the problem.
When you are presented with a problem—whether it is a complex mathematical problem or a broken printer, how do you solve it? Before finding a solution to the problem, the problem must first be clearly identified. After that, one of many problem solving strategies can be applied, hopefully resulting in a solution.
A problem-solving strategy is a plan of action used to find a solution. Different strategies have different action plans associated with them ( [link] ). For example, a well-known strategy is trial and error . The old adage, “If at first you don’t succeed, try, try again” describes trial and error. In terms of your broken printer, you could try checking the ink levels, and if that doesn’t work, you could check to make sure the paper tray isn’t jammed. Or maybe the printer isn’t actually connected to your laptop. When using trial and error, you would continue to try different solutions until you solved your problem. Although trial and error is not typically one of the most time-efficient strategies, it is a commonly used one.
Another type of strategy is an algorithm. An algorithm is a problem-solving formula that provides you with step-by-step instructions used to achieve a desired outcome (Kahneman, 2011). You can think of an algorithm as a recipe with highly detailed instructions that produce the same result every time they are performed. Algorithms are used frequently in our everyday lives, especially in computer science. When you run a search on the Internet, search engines like Google use algorithms to decide which entries will appear first in your list of results. Facebook also uses algorithms to decide which posts to display on your newsfeed. Can you identify other situations in which algorithms are used?
A heuristic is another type of problem solving strategy. While an algorithm must be followed exactly to produce a correct result, a heuristic is a general problem-solving framework (Tversky & Kahneman, 1974). You can think of these as mental shortcuts that are used to solve problems. A “rule of thumb” is an example of a heuristic. Such a rule saves the person time and energy when making a decision, but despite its time-saving characteristics, it is not always the best method for making a rational decision. Different types of heuristics are used in different types of situations, but the impulse to use a heuristic occurs when one of five conditions is met (Pratkanis, 1989):
- When one is faced with too much information
- When the time to make a decision is limited
- When the decision to be made is unimportant
- When there is access to very little information to use in making the decision
- When an appropriate heuristic happens to come to mind in the same moment
Working backwards is a useful heuristic in which you begin solving the problem by focusing on the end result. Consider this example: You live in Washington, D.C. and have been invited to a wedding at 4 PM on Saturday in Philadelphia. Knowing that Interstate 95 tends to back up any day of the week, you need to plan your route and time your departure accordingly. If you want to be at the wedding service by 3:30 PM, and it takes 2.5 hours to get to Philadelphia without traffic, what time should you leave your house? You use the working backwards heuristic to plan the events of your day on a regular basis, probably without even thinking about it.
Another useful heuristic is the practice of accomplishing a large goal or task by breaking it into a series of smaller steps. Students often use this common method to complete a large research project or long essay for school. For example, students typically brainstorm, develop a thesis or main topic, research the chosen topic, organize their information into an outline, write a rough draft, revise and edit the rough draft, develop a final draft, organize the references list, and proofread their work before turning in the project. The large task becomes less overwhelming when it is broken down into a series of small steps.
Problem-solving abilities can improve with practice. Many people challenge themselves every day with puzzles and other mental exercises to sharpen their problem-solving skills. Sudoku puzzles appear daily in most newspapers. Typically, a sudoku puzzle is a 9×9 grid. The simple sudoku below ( [link] ) is a 4×4 grid. To solve the puzzle, fill in the empty boxes with a single digit: 1, 2, 3, or 4. Here are the rules: The numbers must total 10 in each bolded box, each row, and each column; however, each digit can only appear once in a bolded box, row, and column. Time yourself as you solve this puzzle and compare your time with a classmate.
How long did it take you to solve this sudoku puzzle? (You can see the answer at the end of this section.)
Here is another popular type of puzzle ( [link] ) that challenges your spatial reasoning skills. Connect all nine dots with four connecting straight lines without lifting your pencil from the paper:
Did you figure it out? (The answer is at the end of this section.) Once you understand how to crack this puzzle, you won’t forget.
Take a look at the “Puzzling Scales” logic puzzle below ( [link] ). Sam Loyd, a well-known puzzle master, created and refined countless puzzles throughout his lifetime (Cyclopedia of Puzzles, n.d.).
PITFALLS TO PROBLEM SOLVING
Not all problems are successfully solved, however. What challenges stop us from successfully solving a problem? Albert Einstein once said, “Insanity is doing the same thing over and over again and expecting a different result.” Imagine a person in a room that has four doorways. One doorway that has always been open in the past is now locked. The person, accustomed to exiting the room by that particular doorway, keeps trying to get out through the same doorway even though the other three doorways are open. The person is stuck—but she just needs to go to another doorway, instead of trying to get out through the locked doorway. A mental set is where you persist in approaching a problem in a way that has worked in the past but is clearly not working now.
Functional fixedness is a type of mental set where you cannot perceive an object being used for something other than what it was designed for. During the Apollo 13 mission to the moon, NASA engineers at Mission Control had to overcome functional fixedness to save the lives of the astronauts aboard the spacecraft. An explosion in a module of the spacecraft damaged multiple systems. The astronauts were in danger of being poisoned by rising levels of carbon dioxide because of problems with the carbon dioxide filters. The engineers found a way for the astronauts to use spare plastic bags, tape, and air hoses to create a makeshift air filter, which saved the lives of the astronauts.
Link to Learning
Check out this Apollo 13 scene where the group of NASA engineers are given the task of overcoming functional fixedness.
Researchers have investigated whether functional fixedness is affected by culture. In one experiment, individuals from the Shuar group in Ecuador were asked to use an object for a purpose other than that for which the object was originally intended. For example, the participants were told a story about a bear and a rabbit that were separated by a river and asked to select among various objects, including a spoon, a cup, erasers, and so on, to help the animals. The spoon was the only object long enough to span the imaginary river, but if the spoon was presented in a way that reflected its normal usage, it took participants longer to choose the spoon to solve the problem. (German & Barrett, 2005). The researchers wanted to know if exposure to highly specialized tools, as occurs with individuals in industrialized nations, affects their ability to transcend functional fixedness. It was determined that functional fixedness is experienced in both industrialized and nonindustrialized cultures (German & Barrett, 2005).
In order to make good decisions, we use our knowledge and our reasoning. Often, this knowledge and reasoning is sound and solid. Sometimes, however, we are swayed by biases or by others manipulating a situation. For example, let’s say you and three friends wanted to rent a house and had a combined target budget of $1,600. The realtor shows you only very run-down houses for $1,600 and then shows you a very nice house for $2,000. Might you ask each person to pay more in rent to get the $2,000 home? Why would the realtor show you the run-down houses and the nice house? The realtor may be challenging your anchoring bias. An anchoring bias occurs when you focus on one piece of information when making a decision or solving a problem. In this case, you’re so focused on the amount of money you are willing to spend that you may not recognize what kinds of houses are available at that price point.
The confirmation bias is the tendency to focus on information that confirms your existing beliefs. For example, if you think that your professor is not very nice, you notice all of the instances of rude behavior exhibited by the professor while ignoring the countless pleasant interactions he is involved in on a daily basis. Hindsight bias leads you to believe that the event you just experienced was predictable, even though it really wasn’t. In other words, you knew all along that things would turn out the way they did. Representative bias describes a faulty way of thinking, in which you unintentionally stereotype someone or something; for example, you may assume that your professors spend their free time reading books and engaging in intellectual conversation, because the idea of them spending their time playing volleyball or visiting an amusement park does not fit in with your stereotypes of professors.
Finally, the availability heuristic is a heuristic in which you make a decision based on an example, information, or recent experience that is that readily available to you, even though it may not be the best example to inform your decision . Biases tend to “preserve that which is already established—to maintain our preexisting knowledge, beliefs, attitudes, and hypotheses” (Aronson, 1995; Kahneman, 2011). These biases are summarized in [link] .
Please visit this site to see a clever music video that a high school teacher made to explain these and other cognitive biases to his AP psychology students.
Were you able to determine how many marbles are needed to balance the scales in [link] ? You need nine. Were you able to solve the problems in [link] and [link] ? Here are the answers ( [link] ).
Many different strategies exist for solving problems. Typical strategies include trial and error, applying algorithms, and using heuristics. To solve a large, complicated problem, it often helps to break the problem into smaller steps that can be accomplished individually, leading to an overall solution. Roadblocks to problem solving include a mental set, functional fixedness, and various biases that can cloud decision making skills.
Self Check Questions
Critical thinking questions.
1. What is functional fixedness and how can overcoming it help you solve problems?
2. How does an algorithm save you time and energy when solving a problem?
Personal Application Question
3. Which type of bias do you recognize in your own decision making processes? How has this bias affected how you’ve made decisions in the past and how can you use your awareness of it to improve your decisions making skills in the future?
1. Functional fixedness occurs when you cannot see a use for an object other than the use for which it was intended. For example, if you need something to hold up a tarp in the rain, but only have a pitchfork, you must overcome your expectation that a pitchfork can only be used for garden chores before you realize that you could stick it in the ground and drape the tarp on top of it to hold it up.
2. An algorithm is a proven formula for achieving a desired outcome. It saves time because if you follow it exactly, you will solve the problem without having to figure out how to solve the problem. It is a bit like not reinventing the wheel.
- Psychology. Authored by : OpenStax College. Located at : http://cnx.org/contents/[email protected]:1/Psychology . License : CC BY: Attribution . License Terms : Download for free at http://cnx.org/content/col11629/latest/.
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Are You Solving the Right Problem?
- Dwayne Spradlin
Most firms aren’t, and that undermines their innovation efforts.
The rigor with which a problem is defined is the most important factor in finding a good solution. Many organizations, however, are not proficient at articulating their problems and identifying which ones are crucial to their strategies.
They may even be trying to solve the wrong problems—missing opportunities and wasting resources in the process. The key is to ask the right questions.
The author describes a process that his firm, InnoCentive, has used to help clients define and articulate business, technical, social, and policy challenges and then present them to an online community of more than 250,000 solvers. The four-step process consists of asking a series of questions and using the answers to create a problem statement that will elicit novel ideas from an array of experts.
- Establish the need for a solution. What is the basic need? Who will benefit from a solution?
- Justify the need. Why should your organization attempt to solve this problem? Is it aligned with your strategy? If a solution is found, who will implement it?
- Contextualize the problem. What have you and others already tried? Are there internal and external constraints to implementing a solution?
- Write the problem statement. What requirements must a solution meet? What language should you use to describe the problem? How will you evaluate solutions and measure success?
EnterpriseWorks/VITA, a nonprofit organization, used this process to find a low-cost, lightweight, and convenient product that expands access to clean drinking water in the developing world.
“If I were given one hour to save the planet, I would spend 59 minutes defining the problem and one minute resolving it,” Albert Einstein said.
- DS Dwayne Spradlin is the president and CEO of InnoCentive , an online marketplace that connects organizations with freelance problem solvers in a multitude of fields. He is a coauthor, with Alpheus Bingham, of The Open Innovation Marketplace: Creating Value in the Challenge Driven Enterprise (FT Press, 2011).