examples of problem solving in solutions

39 Best Problem-Solving Examples

Chris Drew (PhD)

Dr. Chris Drew is the founder of the Helpful Professor. He holds a PhD in education and has published over 20 articles in scholarly journals. He is the former editor of the Journal of Learning Development in Higher Education. [Image Descriptor: Photo of Chris]

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Problem-solving is a process where you’re tasked with identifying an issue and coming up with the most practical and effective solution.

This indispensable skill is necessary in several aspects of life, from personal relationships to education to business decisions.

Problem-solving aptitude boosts rational thinking, creativity, and the ability to cooperate with others. It’s also considered essential in 21st Century workplaces.

If explaining your problem-solving skills in an interview, remember that the employer is trying to determine your ability to handle difficulties. Focus on explaining exactly how you solve problems, including by introducing your thoughts on some of the following frameworks and how you’ve applied them in the past.

Problem-Solving Examples

1. divergent thinking.

Divergent thinking refers to the process of coming up with multiple different answers to a single problem. It’s the opposite of convergent thinking, which would involve coming up with a singular answer .

The benefit of a divergent thinking approach is that it can help us achieve blue skies thinking – it lets us generate several possible solutions that we can then critique and analyze .

In the realm of problem-solving, divergent thinking acts as the initial spark. You’re working to create an array of potential solutions, even those that seem outwardly unrelated or unconventional, to get your brain turning and unlock out-of-the-box ideas.

This process paves the way for the decision-making stage, where the most promising ideas are selected and refined.

Go Deeper: Divervent Thinking Examples

2. Convergent Thinking

Next comes convergent thinking, the process of narrowing down multiple possibilities to arrive at a single solution.

This involves using your analytical skills to identify the best, most practical, or most economical solution from the pool of ideas that you generated in the divergent thinking stage.

In a way, convergent thinking shapes the “roadmap” to solve a problem after divergent thinking has supplied the “destinations.”

Have a think about which of these problem-solving skills you’re more adept at: divergent or convergent thinking?

Go Deeper: Convergent Thinking Examples

3. Brainstorming

Brainstorming is a group activity designed to generate a multitude of ideas regarding a specific problem. It’s divergent thinking as a group , which helps unlock even more possibilities.

A typical brainstorming session involves uninhibited and spontaneous ideation, encouraging participants to voice any possible solutions, no matter how unconventional they might appear.

It’s important in a brainstorming session to suspend judgment and be as inclusive as possible, allowing all participants to get involved.

By widening the scope of potential solutions, brainstorming allows better problem definition, more creative solutions, and helps to avoid thinking “traps” that might limit your perspective.

Go Deeper: Brainstorming Examples

4. Thinking Outside the Box

The concept of “thinking outside the box” encourages a shift in perspective, urging you to approach problems from an entirely new angle.

Rather than sticking to traditional methods and processes, it involves breaking away from conventional norms to cultivate unique solutions.

In problem-solving, this mindset can bypass established hurdles and bring you to fresh ideas that might otherwise remain undiscovered.

Think of it as going off the beaten track when regular routes present roadblocks to effective resolution.

5. Case Study Analysis

Analyzing case studies involves a detailed examination of real-life situations that bear relevance to the current problem at hand.

For example, if you’re facing a problem, you could go to another environment that has faced a similar problem and examine how they solved it. You’d then bring the insights from that case study back to your own problem.

This approach provides a practical backdrop against which theories and assumptions can be tested, offering valuable insights into how similar problems have been approached and resolved in the past.

See a Broader Range of Analysis Examples Here

6. Action Research

Action research involves a repetitive process of identifying a problem, formulating a plan to address it, implementing the plan, and then analyzing the results. It’s common in educational research contexts.

The objective is to promote continuous learning and improvement through reflection and action. You conduct research into your problem, attempt to apply a solution, then assess how well the solution worked. This becomes an iterative process of continual improvement over time.

For problem-solving, this method offers a way to test solutions in real-time and allows for changes and refinements along the way, based on feedback or observed outcomes. It’s a form of active problem-solving that integrates lessons learned into the next cycle of action.

Go Deeper: Action Research Examples

7. Information Gathering

Fundamental to solving any problem is the process of information gathering.

This involves collecting relevant data , facts, and details about the issue at hand, significantly aiding in the understanding and conceptualization of the problem.

In problem-solving, information gathering underpins every decision you make.

This process ensures your actions are based on concrete information and evidence, allowing for an informed approach to tackle the problem effectively.

8. Seeking Advice

Seeking advice implies turning to knowledgeable and experienced individuals or entities to gain insights on problem-solving.

It could include mentors, industry experts, peers, or even specialized literature.

The value in this process lies in leveraging different perspectives and proven strategies when dealing with a problem. Moreover, it aids you in avoiding pitfalls, saving time, and learning from others’ experiences.

9. Creative Thinking

Creative thinking refers to the ability to perceive a problem in a new way, identify unconventional patterns, or produce original solutions.

It encourages innovation and uniqueness, often leading to the most effective results.

When applied to problem-solving, creative thinking can help you break free from traditional constraints, ideal for potentially complex or unusual problems.

Go Deeper: Creative Thinking Examples

10. Conflict Resolution

Conflict resolution is a strategy developed to resolve disagreements and arguments, often involving communication, negotiation, and compromise.

When employed as a problem-solving technique, it can diffuse tension, clear bottlenecks, and create a collaborative environment.

Effective conflict resolution ensures that differing views or disagreements do not become roadblocks in the process of problem-solving.

Go Deeper: Conflict Resolution Examples

11. Addressing Bottlenecks

Bottlenecks refer to obstacles or hindrances that slow down or even halt a process.

In problem-solving, addressing bottlenecks involves identifying these impediments and finding ways to eliminate them.

This effort not only smooths the path to resolution but also enhances the overall efficiency of the problem-solving process.

For example, if your workflow is not working well, you’d go to the bottleneck – that one point that is most time consuming – and focus on that. Once you ‘break’ this bottleneck, the entire process will run more smoothly.

12. Market Research

Market research involves gathering and analyzing information about target markets, consumers, and competitors.

In sales and marketing, this is one of the most effective problem-solving methods. The research collected from your market (e.g. from consumer surveys) generates data that can help identify market trends, customer preferences, and competitor strategies.

In this sense, it allows a company to make informed decisions, solve existing problems, and even predict and prevent future ones.

13. Root Cause Analysis

Root cause analysis is a method used to identify the origin or the fundamental reason for a problem.

Once the root cause is determined, you can implement corrective actions to prevent the problem from recurring.

As a problem-solving procedure, root cause analysis helps you to tackle the problem at its source, rather than dealing with its surface symptoms.

Go Deeper: Root Cause Analysis Examples

14. Mind Mapping

Mind mapping is a visual tool used to structure information, helping you better analyze, comprehend and generate new ideas.

By laying out your thoughts visually, it can lead you to solutions that might not have been apparent with linear thinking.

In problem-solving, mind mapping helps in organizing ideas and identifying connections between them, providing a holistic view of the situation and potential solutions.

15. Trial and Error

The trial and error method involves attempting various solutions until you find one that resolves the problem.

It’s an empirical technique that relies on practical actions instead of theories or rules.

In the context of problem-solving, trial and error allows you the flexibility to test different strategies in real situations, gaining insights about what works and what doesn’t.

16. SWOT Analysis

SWOT is an acronym standing for Strengths, Weaknesses, Opportunities, and Threats.

It’s an analytic framework used to evaluate these aspects in relation to a particular objective or problem.

In problem-solving, SWOT Analysis helps you to identify favorable and unfavorable internal and external factors. It helps to craft strategies that make best use of your strengths and opportunities, whilst addressing weaknesses and threats.

Go Deeper: SWOT Analysis Examples

17. Scenario Planning

Scenario planning is a strategic planning method used to make flexible long-term plans.

It involves imagining, and then planning for, multiple likely future scenarios.

By forecasting various directions a problem could take, scenario planning helps manage uncertainty and is an effective tool for problem-solving in volatile conditions.

18. Six Thinking Hats

The Six Thinking Hats is a concept devised by Edward de Bono that proposes six different directions or modes of thinking, symbolized by six different hat colors.

Each hat signifies a different perspective, encouraging you to switch ‘thinking modes’ as you switch hats. This method can help remove bias and broaden perspectives when dealing with a problem.

19. Decision Matrix Analysis

Decision Matrix Analysis is a technique that allows you to weigh different factors when faced with several possible solutions.

After listing down the options and determining the factors of importance, each option is scored based on each factor.

Revealing a clear winner that both serves your objectives and reflects your values, Decision Matrix Analysis grounds your problem-solving process in objectivity and comprehensiveness.

20. Pareto Analysis

Also known as the 80/20 rule, Pareto Analysis is a decision-making technique.

It’s based on the principle that 80% of problems are typically caused by 20% of the causes, making it a handy tool for identifying the most significant issues in a situation.

Using this analysis, you’re likely to direct your problem-solving efforts more effectively, tackling the root causes producing most of the problem’s impact.

21. Critical Thinking

Critical thinking refers to the ability to analyze facts to form a judgment objectively.

It involves logical, disciplined thinking that is clear, rational, open-minded, and informed by evidence.

For problem-solving, critical thinking helps evaluate options and decide the most effective solution. It ensures your decisions are grounded in reason and facts, and not biased or irrational assumptions.

Go Deeper: Critical Thinking Examples

22. Hypothesis Testing

Hypothesis testing usually involves formulating a claim, testing it against actual data, and deciding whether to accept or reject the claim based on the results.

In problem-solving, hypotheses often represent potential solutions. Hypothesis testing provides verification, giving a statistical basis for decision-making and problem resolution.

Usually, this will require research methods and a scientific approach to see whether the hypothesis stands up or not.

Go Deeper: Types of Hypothesis Testing

23. Cost-Benefit Analysis

A cost-benefit analysis (CBA) is a systematic process of weighing the pros and cons of different solutions in terms of their potential costs and benefits.

It allows you to measure the positive effects against the negatives and informs your problem-solving strategy.

By using CBA, you can identify which solution offers the greatest benefit for the least cost, significantly improving efficacy and efficiency in your problem-solving process.

Go Deeper: Cost-Benefit Analysis Examples

24. Simulation and Modeling

Simulations and models allow you to create a simplified replica of real-world systems to test outcomes under controlled conditions.

In problem-solving, you can broadly understand potential repercussions of different solutions before implementation.

It offers a cost-effective way to predict the impacts of your decisions, minimizing potential risks associated with various solutions.

25. Delphi Method

The Delphi Method is a structured communication technique used to gather expert opinions.

The method involves a group of experts who respond to questionnaires about a problem. The responses are aggregated and shared with the group, and the process repeats until a consensus is reached.

This method of problem solving can provide a diverse range of insights and solutions, shaped by the wisdom of a collective expert group.

26. Cross-functional Team Collaboration

Cross-functional team collaboration involves individuals from different departments or areas of expertise coming together to solve a common problem or achieve a shared goal.

When you bring diverse skills, knowledge, and perspectives to a problem, it can lead to a more comprehensive and innovative solution.

In problem-solving, this promotes communal thinking and ensures that solutions are inclusive and holistic, with various aspects of the problem being addressed.

27. Benchmarking

Benchmarking involves comparing one’s business processes and performance metrics to the best practices from other companies or industries.

In problem-solving, it allows you to identify gaps in your own processes, determine how others have solved similar problems, and apply those solutions that have proven to be successful.

It also allows you to compare yourself to the best (the benchmark) and assess where you’re not as good.

28. Pros-Cons Lists

A pro-con analysis aids in problem-solving by weighing the advantages (pros) and disadvantages (cons) of various possible solutions.

This simple but powerful tool helps in making a balanced, informed decision.

When confronted with a problem, a pro-con analysis can guide you through the decision-making process, ensuring all possible outcomes and implications are scrutinized before arriving at the optimal solution. Thus, it helps to make the problem-solving process both methodical and comprehensive.

29. 5 Whys Analysis

The 5 Whys Analysis involves repeatedly asking the question ‘why’ (around five times) to peel away the layers of an issue and discover the root cause of a problem.

As a problem-solving technique, it enables you to delve into details that you might otherwise overlook and offers a simple, yet powerful, approach to uncover the origin of a problem.

For example, if your task is to find out why a product isn’t selling your first answer might be: “because customers don’t want it”, then you ask why again – “they don’t want it because it doesn’t solve their problem”, then why again – “because the product is missing a certain feature” … and so on, until you get to the root “why”.

30. Gap Analysis

Gap analysis entails comparing current performance with potential or desired performance.

You’re identifying the ‘gaps’, or the differences, between where you are and where you want to be.

In terms of problem-solving, a Gap Analysis can help identify key areas for improvement and design a roadmap of how to get from the current state to the desired one.

31. Design Thinking

Design thinking is a problem-solving approach that involves empathy, experimentation, and iteration.

The process focuses on understanding user needs, challenging assumptions , and redefining problems from a user-centric perspective.

In problem-solving, design thinking uncovers innovative solutions that may not have been initially apparent and ensures the solution is tailored to the needs of those affected by the issue.

32. Analogical Thinking

Analogical thinking involves the transfer of information from a particular subject (the analogue or source) to another particular subject (the target).

In problem-solving, you’re drawing parallels between similar situations and applying the problem-solving techniques used in one situation to the other.

Thus, it allows you to apply proven strategies to new, but related problems.

33. Lateral Thinking

Lateral thinking requires looking at a situation or problem from a unique, sometimes abstract, often non-sequential viewpoint.

Unlike traditional logical thinking methods, lateral thinking encourages you to employ creative and out-of-the-box techniques.

In solving problems, this type of thinking boosts ingenuity and drives innovation, often leading to novel and effective solutions.

Go Deeper: Lateral Thinking Examples

34. Flowcharting

Flowcharting is the process of visually mapping a process or procedure.

This form of diagram can show every step of a system, process, or workflow, enabling an easy tracking of the progress.

As a problem-solving tool, flowcharts help identify bottlenecks or inefficiencies in a process, guiding improved strategies and providing clarity on task ownership and process outcomes.

35. Multivoting

Multivoting, or N/3 voting, is a method where participants reduce a large list of ideas to a prioritized shortlist by casting multiple votes.

This voting system elevates the most preferred options for further consideration and decision-making.

As a problem-solving technique, multivoting allows a group to narrow options and focus on the most promising solutions, ensuring more effective and democratic decision-making.

36. Force Field Analysis

Force Field Analysis is a decision-making technique that identifies the forces for and against change when contemplating a decision.

The ‘forces’ represent the differing factors that can drive or hinder change.

In problem-solving, Force Field Analysis allows you to understand the entirety of the context, favoring a balanced view over a one-sided perspective. A comprehensive view of all the forces at play can lead to better-informed problem-solving decisions.

TRIZ, which stands for “The Theory of Inventive Problem Solving,” is a problem-solving, analysis, and forecasting methodology.

It focuses on finding contradictions inherent in a scenario. Then, you work toward eliminating the contraditions through finding innovative solutions.

So, when you’re tackling a problem, TRIZ provides a disciplined, systematic approach that aims for ideal solutions and not just acceptable ones. Using TRIZ, you can leverage patterns of problem-solving that have proven effective in different cases, pivoting them to solve the problem at hand.

38. A3 Problem Solving

A3 Problem Solving, derived from Lean Management, is a structured method that uses a single sheet of A3-sized paper to document knowledge from a problem-solving process.

Named after the international paper size standard of A3 (or 11-inch by 17-inch paper), it succinctly records all key details of the problem-solving process from problem description to the root cause and corrective actions.

Used in problem-solving, this provides a straightforward and logical structure for addressing the problem, facilitating communication between team members, ensuring all critical details are included, and providing a record of decisions made.

39. Scenario Analysis

Scenario Analysis is all about predicting different possible future events depending upon your decision.

To do this, you look at each course of action and try to identify the most likely outcomes or scenarios down the track if you take that course of action.

This technique helps forecast the impacts of various strategies, playing each out to their (logical or potential) end. It’s a good strategy for project managers who need to keep a firm eye on the horizon at all times.

When solving problems, Scenario Analysis assists in preparing for uncertainties, making sure your solution remains viable, regardless of changes in circumstances.

How to Answer “Demonstrate Problem-Solving Skills” in an Interview

When asked to demonstrate your problem-solving skills in an interview, the STAR method often proves useful. STAR stands for Situation, Task, Action, and Result.

Situation: Begin by describing a specific circumstance or challenge you encountered. Make sure to provide enough detail to allow the interviewer a clear understanding. You should select an event that adequately showcases your problem-solving abilities.

For instance, “In my previous role as a project manager, we faced a significant issue when our key supplier abruptly went out of business.”

Task: Explain what your responsibilities were in that situation. This serves to provide context, allowing the interviewer to understand your role and the expectations placed upon you.

For instance, “It was my task to ensure the project remained on track despite this setback. Alternative suppliers needed to be found without sacrificing quality or significantly increasing costs.”

Action: Describe the steps you took to manage the problem. Highlight your problem-solving process. Mention any creative approaches or techniques that you used.

For instance, “I conducted thorough research to identify potential new suppliers. After creating a shortlist, I initiated contact, negotiated terms, assessed samples for quality and made a selection. I also worked closely with the team to re-adjust the project timeline.”

Result: Share the outcomes of your actions. How did the situation end? Did your actions lead to success? It’s particularly effective if you can quantify these results.

For instance, “As a result of my active problem solving, we were able to secure a new supplier whose costs were actually 10% cheaper and whose quality was comparable. We adjusted the project plan and managed to complete the project just two weeks later than originally planned, despite the major vendor setback.”

Remember, when you’re explaining your problem-solving skills to an interviewer, what they’re really interested in is your approach to handling difficulties, your creativity and persistence in seeking a resolution, and your ability to carry your solution through to fruition. Tailoring your story to highlight these aspects will help exemplify your problem-solving prowess.

Go Deeper: STAR Interview Method Examples

Benefits of Problem-Solving

Problem-solving is beneficial for the following reasons (among others):

• It can help you to overcome challenges, roadblocks, and bottlenecks in your life.
• It can save a company money.
• It can help you to achieve clarity in your thinking.
• It can make procedures more efficient and save time.
• It can strengthen your decision-making capacities.
• It can lead to better risk management.

Whether for a job interview or school, problem-solving helps you to become a better thinking, solve your problems more effectively, and achieve your goals. Build up your problem-solving frameworks (I presented over 40 in this piece for you!) and work on applying them in real-life situations.

• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd/ Free Social Skills Worksheets
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd/ 10 Reasons you’re Perpetually Single
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd/ 20 Montessori Toddler Bedrooms (Design Inspiration)
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd/ 21 Montessori Homeschool Setups

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Eat, Sleep, Wander

5 Examples of Problem Solving Scenarios + ROLE PLAY SCRIPTS

Problem-solving is an essential skill in our daily lives. It enables us to analyze situations, identify challenges, and find suitable solutions. In this article, we’ll explore five real-life problem-solving scenarios from various areas, including business, education, and personal growth. By understanding these examples, you can develop your problem-solving abilities and effectively tackle challenges in your life.

Examples of Problem Solving Scenarios

Improving Customer Service Scenario:

A retail store is experiencing a decline in customer satisfaction, with clients complaining about slow service and unhelpful staff.

Solution : The store manager assembles a team to analyze customer feedback, identify key issues, and propose solutions. They implement a new training program focused on customer service skills, streamline the checkout process, and introduce an incentive system to motivate employees. As a result, customer satisfaction improves, and the store’s reputation is restored.

Enhancing Learning Outcomes Scenario:

A high school teacher notices that her students struggle with understanding complex concepts in her science class, leading to poor performance on tests.

Solution : The teacher reevaluates her teaching methods and incorporates active learning strategies, such as group discussions, hands-on activities, and real-world examples, to make the material more engaging and relatable. She also offers additional support sessions and resources for students who need extra help. Consequently, students’ understanding improves, and test scores increase.

Overcoming Procrastination Scenario:

An individual consistently procrastinates, leading to increased stress and reduced productivity.

Solution : The person identifies the root cause of their procrastination, such as fear of failure or lack of motivation. They establish clear goals and deadlines, break tasks into manageable steps, and use time management tools, like the Pomodoro Technique , to stay focused. By consistently applying these strategies, they successfully overcome procrastination and enhance their productivity.

Reducing Patient Wait Times Scenario:

A medical clinic has long wait times, leading to patient dissatisfaction and overworked staff.

Solution : The clinic’s management team conducts a thorough analysis of the appointment scheduling process and identifies bottlenecks. They implement a new appointment system, hire additional staff, and optimize the workflow to reduce wait times. As a result, patient satisfaction increases, and staff stress levels decrease.

Reducing Plastic Waste Scenario:

A local community is struggling with an excessive amount of plastic waste, causing environmental pollution and health concerns.

Solution : Community leaders organize a task force to address the issue. They implement a recycling program, educate residents about the environmental impact of plastic waste, and collaborate with local businesses to promote the use of eco-friendly packaging alternatives. These actions lead to a significant reduction in plastic waste and a cleaner, healthier community.

Conclusion : These five examples of problem-solving scenarios demonstrate how effective problem-solving strategies can lead to successful outcomes in various aspects of life. By learning from these scenarios, you can develop your problem-solving skills and become better equipped to face challenges in your personal and professional life. Remember to analyze situations carefully, identify the root causes, and implement solutions that address these issues for optimal results.

• See also: 4 Medical Role Play Scenarios: Prepare for the Real Thing
• See also: 3 Financial Advisor Role Play Scenarios: Practice Your Skills!
• See also: 3 Insurance Role Play Examples
• See also: 3 Workplace Scenarios for Role Play

Role Play: Improving Customer Service in a Retail Store

Objective : To practice effective problem-solving and communication skills in a retail setting by addressing customer service issues and finding solutions to improve customer satisfaction.

Scenario : A retail store is experiencing a decline in customer satisfaction, with clients complaining about slow service and unhelpful staff.

Characters :

• Store Manager
• Sales Associate
• Assistant Manager

Role Play Script:

Scene 1 : Store Manager’s Office Store Manager: (Addressing the Assistant Manager and Sales Associate) I’ve noticed that our customer satisfaction has been declining lately. We’ve received several complaints about slow service and unhelpful staff. We need to address these issues immediately. Any suggestions?

Sales Associate : I’ve observed that the checkout process can be quite slow, especially during peak hours. Maybe we can improve our system to make it more efficient?

Assistant Manager : I agree. We could also implement a new training program for our staff, focusing on customer service skills and techniques.

Scene 2 : Staff Training Session Store Manager: (Addressing the entire staff) We’re implementing a new training program to improve our customer service. This program will cover effective communication, problem-solving, and time management skills. We’ll also introduce an incentive system to reward those who provide exceptional service.

Scene 3 : Retail Floor Customer: (Approaching the Sales Associate) Excuse me, I can’t find the product I’m looking for. Can you help me?

Sales Associate : (Smiling) Of course! I’d be happy to help. What product are you looking for?

Customer : I need a specific brand of shampoo, but I can’t find it on the shelves.

Sales Associate : Let me check our inventory system to see if we have it in stock. (Checks inventory) I’m sorry, but it seems we’re currently out of stock. However, we’re expecting a new shipment within two days. I can take your contact information and let you know as soon as it arrives.

Customer : That would be great! Thank you for your help.

Scene 4 : Store Manager’s Office Assistant Manager: (Reporting to the Store Manager) Since we implemented the new training program and made changes to the checkout process, we’ve seen a significant improvement in customer satisfaction.

Store Manager : That’s excellent news! Let’s continue to monitor our progress and make any necessary adjustments to ensure we maintain this positive trend.

More Examples of Problem Solving Scenarios on the next page…

Problem Solving

Ai generator.

Problem solving is a crucial skill in both personal and professional settings. Whether it’s addressing a personal challenge or drafting a business problem solving proposal , the ability to identify a problem and develop a solution is essential. Writing a problem solving essay helps articulate the issue clearly and systematically outline potential solutions. Effective problem and solution involves critical thinking, creativity, and a structured approach to overcome obstacles and achieve goals.

What is Problem Solving?

Problem solving is the process of identifying a challenge, analyzing its components, and finding an effective solution. It involves critical thinking, creativity, and the application of various techniques and tools.

Examples of Problem Solving

• Analytical Thinking : Breaking down complex problems into manageable parts.
• Creativity : Developing innovative solutions to problems.
• Critical Thinking : Evaluating information and arguments to make a reasoned decision.
• Decision-Making : Choosing the best course of action from various alternatives.
• Research : Gathering relevant information to understand and solve a problem.
• Communication : Clearly conveying ideas and solutions to others.
• Collaboration : Working effectively with others to solve problems.
• Time Management : Prioritizing tasks to efficiently address problems.
• Adaptability : Adjusting strategies as new information or challenges arise.
• Attention to Detail : Ensuring all aspects of a problem are considered.
• Logical Reasoning : Using logic to identify solutions and predict outcomes.
• Empathy : Understanding others’ perspectives to create more effective solutions.
• Negotiation : Finding mutually acceptable solutions through discussion.
• Conflict Resolution : Addressing and resolving disagreements.
• Patience : Remaining calm and persistent when solving complex problems.
• Organization : Structuring tasks and information systematically.
• Leadership : Guiding and motivating a team to solve problems.
• Decision Analysis : Evaluating the potential impact of different solutions.
• Project Management : Planning and executing solutions effectively.
• Technical Skills : Using specialized knowledge to solve technical problems.
• Customer Service : Resolving customer issues effectively and efficiently.
• Risk Management : Identifying and mitigating potential problems.
• Innovation : Implementing new ideas to solve existing problems.
• Strategic Planning : Developing long-term solutions and plans.
• Resourcefulness : Finding quick and clever ways to overcome difficulties.
• Stress Management : Handling pressure while solving problems.
• Observation : Noticing subtle details that could be key to solving a problem.
• Data Analysis : Interpreting data to inform problem-solving decisions.
• Flexibility : Being open to new approaches and changing plans when necessary.
• Self-Assessment : Reflecting on your own problem-solving process to improve future performance.

Problem-Solving Examples for Students

1. math word problems.

Problem: Jane has 3 apples, and she buys 4 more apples from the store. How many apples does she have now?

• Understand the problem: Jane starts with 3 apples and buys 4 more.
• Break it down: 3 apples (initial) + 4 apples (additional).
• Solve: 3 + 4 = 7.
• Answer: Jane has 7 apples.

2. Group Project Coordination

Problem: A group of students needs to complete a science project, but they are having trouble coordinating their schedules.

• Understand the problem: The main issue is scheduling conflicts.
• Break it down: Identify each member’s available times.
• Research: Use tools like Doodle or Google Calendar to find common free times.
• Brainstorm solutions: Propose meeting during lunch breaks or weekends.
• Evaluate: Choose the most convenient and feasible option for everyone.
• Develop an action plan: Set a recurring meeting time and delegate tasks.
• Implement: Start meeting and working on the project according to the plan.
• Monitor and review: Adjust schedules if conflicts arise and keep track of progress.

3. Essay Writing

Problem: A student struggles to start writing an essay on a given topic.

• Understand the problem: The difficulty is starting the essay.
• Break it down: Identify the essay topic, main points, and required structure.
• Research: Gather information and resources related to the topic.
• Brainstorm solutions: Create an outline, jot down ideas, and decide on the thesis statement.
• Evaluate: Choose the most compelling points and organize them logically.
• Develop an action plan: Write a draft based on the outline, then revise and edit.
• Implement: Begin writing the introduction, followed by the body paragraphs and conclusion.
• Monitor and review: Proofread the essay and make necessary corrections.

4. Time Management

Problem: A student has trouble managing time between homework, extracurricular activities, and leisure.

• Understand the problem: The issue is balancing multiple responsibilities.
• Break it down: Identify all tasks and time commitments.
• Research: Look for time management techniques and tools.
• Brainstorm solutions: Use planners, to-do lists, or apps like Trello or Todoist.
• Evaluate: Choose the most effective tool and technique.
• Develop an action plan: Create a weekly schedule, prioritizing tasks by importance and deadlines.
• Implement: Follow the schedule and adjust as necessary.
• Monitor and review: Reflect on the effectiveness of the schedule and make improvements.

5. Conflict Resolution

Problem: Two students have a disagreement over a shared locker space.

• Understand the problem: The conflict is about sharing limited space.
• Break it down: Identify each student’s concerns and needs.
• Research: Look into conflict resolution strategies.
• Brainstorm solutions: Propose solutions like dividing the locker into specific sections or creating a rotation schedule.
• Evaluate: Choose the fairest and most practical solution.
• Develop an action plan: Agree on the solution and set guidelines.
• Implement: Follow the agreed plan and make adjustments if needed.
• Monitor and review: Ensure both students are satisfied with the arrangement and resolve any further issues.

Problem-Solving Examples in Real-life

Example 1: workplace conflict.

Situation : Two team members have a disagreement that affects their productivity.

• Identify the Problem : Understand the root cause of the conflict.
• Analyze : Talk to both parties separately to get their perspectives.
• Generate Solutions : Consider solutions like mediation, reassignment of tasks, or team-building exercises.
• Evaluate : Assess which solution is likely to resolve the conflict without affecting team morale.
• Implement : Arrange a mediation session.
• Review : Follow up to ensure the conflict is resolved and monitor team dynamics.

Example 2: Personal Finance Management

Situation : Struggling to manage monthly expenses and savings.

• Identify the Problem : Determine specific areas where overspending occurs.
• Analyze : Review bank statements and categorize expenses.
• Generate Solutions : Create a budget, reduce unnecessary expenses, and set savings goals.
• Evaluate : Choose a budgeting method that fits your lifestyle.
• Implement : Start tracking expenses and adjust spending habits.
• Review : Regularly review your budget and savings to ensure you are on track.

How to Improve Your Problem-Solving Skills?

Understand the Problem: Before attempting to solve any problem, it’s crucial to fully understand it. Read through the problem statement carefully and make sure you grasp every detail.

Break It Down : Divide the problem into smaller, more manageable parts. This approach, known as decomposition, makes it easier to tackle complex issues by focusing on individual components one at a time.

Research and Gather Information : Collect all relevant information and data that might help in solving the problem. Look for similar problems and their solutions.

Brainstorm Possible Solutions : Generate as many potential solutions as possible. Don’t worry about evaluating them at this stage; the goal is to think creatively and come up with a wide range of ideas.

Evaluate and Select the Best Solution : Assess the feasibility, pros, and cons of each potential solution. Consider factors such as resources, time, and potential risks. Choose the solution that best addresses the problem and is most practical.

Develop an Action Plan : Create a detailed plan for implementing your chosen solution. Outline the steps you need to take, assign tasks if working in a team, and set deadlines to ensure timely progress.

Implement the Solution : Put your plan into action. Stay focused and be prepared to adapt if necessary. Keep track of your progress and make adjustments as needed.

Monitor and Review : After implementing the solution, monitor the results to ensure the problem is resolved. Evaluate the outcome and review the process to learn from any mistakes or successes.

Problem-solving in workplace

• Enhancing Efficiency : Quick and effective problem resolution can streamline processes and reduce downtime.
• Boosting Productivity : Employees who can solve problems independently help maintain workflow and productivity.
• Improving Customer Satisfaction : Solving customer issues promptly can lead to higher satisfaction and loyalty.
• Fostering Innovation : Problem-solving often leads to new ideas and improvements that drive innovation.
• Promoting Employee Development : Encouraging problem-solving helps employees grow and develop their skills.

How To Highlight Problem-Solving Skills?

1. on your resume.

When listing problem-solving skills on your resume, provide concrete examples. Use action verbs and quantify your achievements where possible.

• Resolved a customer service issue that increased customer satisfaction by 20%.
• Developed a new process that reduced production errors by 15%.

2. In a Cover Letter

Your cover letter is a great place to elaborate on your problem-solving abilities. Describe a specific situation where you successfully addressed a challenge.

“In my previous role at XYZ Company, I identified a bottleneck in our production line. I conducted a thorough analysis and implemented a new workflow, which reduced production time by 25% and saved the company $50,000 annually.”

3. During an Interview

Be prepared to discuss your problem-solving skills in depth during an interview. Use the STAR (Situation, Task, Action, Result) method to structure your responses.

Example: “Can you give an example of a time when you solved a difficult problem at work?”

• Situation: Our sales team was struggling with declining numbers.
• Task: I was tasked with identifying the root cause and finding a solution.
• Action: I analyzed sales data, conducted team meetings, and identified a lack of training as the main issue.
• Result: I organized comprehensive training sessions, which led to a 30% increase in sales over the next quarter.

4. On Social Media and Professional Profiles

Highlight problem-solving skills on LinkedIn and other professional profiles. Share posts or articles about your problem-solving experiences and successes.

“I’m thrilled to share that I recently led a project to overhaul our customer service protocol, resulting in a 40% reduction in response time and a significant boost in customer satisfaction!”

5. In Performance Reviews

During performance reviews, make sure to emphasize your problem-solving contributions. Provide specific examples and outcomes.

“In the past year, I resolved three major project roadblocks, enabling our team to meet all deadlines and exceed our performance goals.”

6. Through Projects and Case Studies

If applicable, create case studies or detailed project descriptions that showcase your problem-solving process and results. This can be particularly useful for portfolios or presentations.

Case Study: Improving IT System Efficiency

• Problem: Frequent system downtimes affecting productivity.
• Solution: Implemented a new monitoring system and revised maintenance schedules.
• Outcome: System downtimes were reduced by 50%, significantly improving productivity.

7. By Demonstrating Soft Skills

Problem-solving often involves other soft skills such as communication, creativity, and teamwork. Highlighting these related skills can further emphasize your ability to solve problems effectively.

“By fostering open communication within my team and encouraging creative brainstorming sessions, we were able to devise innovative solutions to our most pressing challenges.”

How to Answer Problem-Solving Interview Questions

• Understand the Question : Make sure you fully understand the problem before you try to solve it. Ask clarifying questions if needed to ensure you have all the relevant information.
• Think Aloud : Demonstrate your thinking process by explaining your thoughts as you work through the problem. This shows your interviewer how you approach problems and organize your thoughts.
• Break It Down : Divide the problem into smaller, manageable parts. This can make a complex issue seem more approachable and allows you to tackle each component systematically.
• Use a Structured Approach : Employ frameworks or methodologies that are relevant to the question. For example, you might use the STAR method (Situation, Task, Action, Result) for behavioral questions, or a simple problem-solving framework like Define, Measure, Analyze, Improve, Control (DMAIC) for process improvements.
• Be Creative : Employers often look for creativity in your answers. Think outside the box and propose innovative solutions when appropriate.
• Prioritize Solutions : If there are multiple potential solutions, discuss the pros and cons of each and explain why you would choose one over the others.
• Stay Calm and Positive : Problem-solving under pressure is part of the test. Maintain a calm and positive demeanor, showing that you can handle stress effectively.
• Summarize Your Steps : After you have worked through the problem, summarize the steps you took and the conclusion you reached. This helps ensure the interviewer followed your process and underscores your methodical approach.
• Ask for Feedback : After presenting your solution, it can be beneficial to ask if there are any additional factors you might consider. This shows openness to learning and adapting.
• Practice Regularly : Like any skill, problem-solving improves with practice. Regularly engage in brain teasers, logic puzzles, or case studies to sharpen your skills.

Why Are Problem-Solving is Important?

• Effective Decision-Making : Problem-solving is essential for making decisions that are logical, informed, and well-considered. This skill helps individuals and organizations make choices that lead to better outcomes.
• Innovation and Improvement : Solving problems effectively often requires innovative thinking. This can lead to new ideas and improvements in processes, products, and services, which are essential for business growth and adaptation.
• Handling Complex Situations : Many roles involve complex situations that are not straightforward to manage. Problem-solving skills enable individuals to dissect these situations and devise effective strategies to deal with them.
• Enhances Productivity : Efficient problem-solving contributes to higher productivity, as it allows for the identification and removal of obstacles that impede workflow and performance.
• Career Advancement : Individuals who are effective problem solvers are often seen as leaders and can advance more quickly in their careers. This skill is valuable because it demonstrates the ability to handle difficult situations and complex challenges.
• Adaptability and Resilience : Problem-solving is key to adapting to new situations and overcoming challenges. Those who can creatively navigate through difficulties are generally more resilient.
• Quality of Life : On a personal level, strong problem-solving skills can improve one’s quality of life by enabling better management of the challenges that come with daily living.
• Team Collaboration : Problem-solving often requires collaboration. Being good at solving problems can improve your ability to work with others, as it involves communication, persuasion, and negotiation skills.

How to Include Problem-Solving in a Job Application

• Resume : Detail specific problem-solving instances in your job descriptions using action verbs like “analyzed” and “implemented”. Mention the positive outcomes achieved.
• Cover Letter : Narrate a specific instance where your problem-solving skills led to a successful outcome, demonstrating initiative and effectiveness.
• Skills Section : Include “problem-solving” in a skills section if the job ad specifically mentions it.
• Quantify Achievements : Use numbers to describe the impact of your solutions, such as cost savings or efficiency improvements.
• Job Interviews : Prepare to discuss specific examples of your problem-solving skills, focusing on the challenge, your action, and the result.
• References : Brief your references about your problem-solving achievements so they can provide specific examples when contacted by employers.

Tips for Enhancing Problem-Solving

• Practice Regularly: Like any skill, problem-solving improves with regular practice. Engage in activities that challenge your thinking, such as puzzles, games, or real-world problem-solving scenarios.
• Learn from Others: Study how others approach and solve problems. This can provide new strategies and perspectives that you can incorporate into your own problem-solving toolkit.
• Stay Calm and Positive: Maintaining a calm and positive mindset can significantly improve your ability to solve problems. Stress and negativity can cloud your judgment and hinder creative thinking.
• Develop Critical Thinking: Sharpen your critical thinking skills by questioning assumptions, analyzing information, and evaluating evidence. This will help you make more informed and logical decisions.
• Collaborate with Others: Working with others can bring new insights and ideas. Collaboration can also help you see the problem from different angles and develop more effective solutions.
• Keep Learning: Continuously expand your knowledge and skills. The more you know, the better equipped you are to tackle a variety of problems.

How can I improve my problem-solving skills?

Practice regularly, learn various problem-solving techniques, and engage in activities that challenge your thinking.

What are common problem-solving techniques?

Common techniques include brainstorming, root cause analysis, the 5 Whys, and SWOT analysis.

What are the steps in the problem-solving process?

Identify the problem, analyze the problem, generate solutions, select a solution, implement, and evaluate.

How do I demonstrate problem-solving skills in an interview?

Discuss specific situations where you effectively solved problems, highlighting your thought process and outcomes.

What’s the difference between critical thinking and problem-solving?

Critical thinking involves analyzing and evaluating information, while problem-solving focuses on finding solutions to problems.

How do problem-solving skills help in leadership?

They enable leaders to manage challenges effectively, inspire innovation, and guide teams through obstacles.

How to measure problem-solving skills?

Assess through scenarios or challenges that require identifying, analyzing, and resolving problems.

What role does creativity play in problem-solving?

Creativity enables out-of-the-box thinking, which can lead to innovative and effective solutions.

How do you use problem-solving in project management?

Apply it to anticipate potential issues, plan solutions, and ensure smooth project execution.

What’s an example of a problem-solving situation?

Resolving customer complaints by identifying the issue, brainstorming solutions, and implementing changes to prevent future complaints.

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5 Effective Problem-Solving Strategies

Got a problem you’re trying to solve? Strategies like trial and error, gut instincts, and “working backward” can help. We look at some examples and how to use them.

We all face problems daily. Some are simple, like deciding what to eat for dinner. Others are more complex, like resolving a conflict with a loved one or figuring out how to overcome barriers to your goals.

No matter what problem you’re facing, these five problem-solving strategies can help you develop an effective solution.

What are problem-solving strategies?

To effectively solve a problem, you need a problem-solving strategy .

If you’ve had to make a hard decision before then you know that simply ruminating on the problem isn’t likely to get you anywhere. You need an effective strategy — or a plan of action — to find a solution.

In general, effective problem-solving strategies include the following steps:

• Define the problem.
• Come up with alternative solutions.
• Decide on a solution.
• Implement the solution.

Problem-solving strategies don’t guarantee a solution, but they do help guide you through the process of finding a resolution.

Using problem-solving strategies also has other benefits . For example, having a strategy you can turn to can help you overcome anxiety and distress when you’re first faced with a problem or difficult decision.

The key is to find a problem-solving strategy that works for your specific situation, as well as your personality. One strategy may work well for one type of problem but not another. In addition, some people may prefer certain strategies over others; for example, creative people may prefer to depend on their insights than use algorithms.

It’s important to be equipped with several problem-solving strategies so you use the one that’s most effective for your current situation.

1. Trial and error

One of the most common problem-solving strategies is trial and error. In other words, you try different solutions until you find one that works.

For example, say the problem is that your Wi-Fi isn’t working. You might try different things until it starts working again, like restarting your modem or your devices until you find or resolve the problem. When one solution isn’t successful, you try another until you find what works.

Trial and error can also work for interpersonal problems . For example, if your child always stays up past their bedtime, you might try different solutions — a visual clock to remind them of the time, a reward system, or gentle punishments — to find a solution that works.

2. Heuristics

Sometimes, it’s more effective to solve a problem based on a formula than to try different solutions blindly.

Heuristics are problem-solving strategies or frameworks people use to quickly find an approximate solution. It may not be the optimal solution, but it’s faster than finding the perfect resolution, and it’s “good enough.”

Algorithms or equations are examples of heuristics.

An algorithm is a step-by-step problem-solving strategy based on a formula guaranteed to give you positive results. For example, you might use an algorithm to determine how much food is needed to feed people at a large party.

However, many life problems have no formulaic solution; for example, you may not be able to come up with an algorithm to solve the problem of making amends with your spouse after a fight.

3. Gut instincts (insight problem-solving)

While algorithm-based problem-solving is formulaic, insight problem-solving is the opposite.

When we use insight as a problem-solving strategy we depend on our “gut instincts” or what we know and feel about a situation to come up with a solution. People might describe insight-based solutions to problems as an “aha moment.”

For example, you might face the problem of whether or not to stay in a relationship. The solution to this problem may come as a sudden insight that you need to leave. In insight problem-solving, the cognitive processes that help you solve a problem happen outside your conscious awareness.

4. Working backward

Working backward is a problem-solving approach often taught to help students solve problems in mathematics. However, it’s useful for real-world problems as well.

Working backward is when you start with the solution and “work backward” to figure out how you got to the solution. For example, if you know you need to be at a party by 8 p.m., you might work backward to problem-solve when you must leave the house, when you need to start getting ready, and so on.

5. Means-end analysis

Means-end analysis is a problem-solving strategy that, to put it simply, helps you get from “point A” to “point B” by examining and coming up with solutions to obstacles.

When using means-end analysis you define the current state or situation (where you are now) and the intended goal. Then, you come up with solutions to get from where you are now to where you need to be.

For example, a student might be faced with the problem of how to successfully get through finals season . They haven’t started studying, but their end goal is to pass all of their finals. Using means-end analysis, the student can examine the obstacles that stand between their current state and their end goal (passing their finals).

They could see, for example, that one obstacle is that they get distracted from studying by their friends. They could devise a solution to this obstacle by putting their phone on “do not disturb” mode while studying.

Let’s recap

Whether they’re simple or complex, we’re faced with problems every day. To successfully solve these problems we need an effective strategy. There are many different problem-solving strategies to choose from.

Although problem-solving strategies don’t guarantee a solution, they can help you feel less anxious about problems and make it more likely that you come up with an answer.

8 sources collapsed

• Chu Y, et al. (2011). Human performance on insight problem-solving: A review. https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1094&context=jps
• Dumper K, et al. (n.d.) Chapter 7.3: Problem-solving in introductory psychology. https://opentext.wsu.edu/psych105/chapter/7-4-problem-solving/
• Foulds LR. (2017). The heuristic problem-solving approach. https://www.tandfonline.com/doi/abs/10.1057/jors.1983.205
• Gick ML. (1986). Problem-solving strategies. https://www.tandfonline.com/doi/abs/10.1080/00461520.1986.9653026
• Montgomery ME. (2015). Problem solving using means-end analysis. https://sites.psu.edu/psych256sp15/2015/04/19/problem-solving-using-means-end-analysis/
• Posamentier A, et al. (2015). Problem-solving strategies in mathematics. Chapter 3: Working backwards. https://www.worldscientific.com/doi/10.1142/9789814651646_0003
• Sarathy V. (2018). Real world problem-solving. https://www.frontiersin.org/articles/10.3389/fnhum.2018.00261/full
• Woods D. (2000). An evidence-based strategy for problem solving. https://www.researchgate.net/publication/245332888_An_Evidence-Based_Strategy_for_Problem_Solving

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Problem-Solving Techniques That Work For All Types of Challenges

Updated: Jul 4

Essay by Spencer Greenberg, Clearer Thinking founder

A lot of people don’t realize that there are general purpose problem solving techniques that cut across domains. They can help you deal with thorny challenges in work, your personal life, startups, or even if you’re trying to prove a new theorem in math.

Below are the 26 general purpose problem solving techniques that I like best, along with a one-word name I picked for each, and hypothetical examples to illustrate what sort of strategy I’m referring to.

Consider opening up this list whenever you’re stuck solving a challenging problem. It’s likely that one or more of these techniques can help!

1. Clarifying

Try to define the problem you are facing as precisely as you can, maybe by writing down a detailed description of exactly what the problem is and what constraints exist for a solution, or by describing it in detail to another person. This may lead to you realizing the problem is not quite what you had thought, or that it has a more obvious solution than you thought.

Life Example

“I thought that I needed to find a new job, but when I thought really carefully about what I don’t like about my current job, I realized that I could likely fix those things by talking to my boss or even, potentially, just by thinking about them differently.”

Startup Example

“we thought we had a problem with users not wanting to sign up for the product, but when we carefully investigated what the problem really was, we discovered it was actually more of a problem of users wanting the product but then growing frustrated because of bad interface design.”

2. Subdividing

Break the problem down into smaller problems in such a way that if you solve each of the small problems, you will have solved the entire problem. Once a problem is subdivided it can also sometimes be parallelized (e.g., by involving different people to work on the different components).

“My goal is to get company Z to become a partner with my company, and that seems hard, so let me break that goal into the steps of (a) listing the ways that company Z would benefit from becoming a partner with us, (b) finding an employee at company Z who would be responsive to hearing about these benefits, and (c) tracking down someone who can introduce me to that employee.”

Math Example

“I want to prove that a certain property applies to all functions of a specific type, so I start by (a) showing that every function of that type can be written as a sum of a more specific type of function, then I show that (b) the property applies to each function of the more specific type, and finally I show that (c) if the property applies to each function in a set of functions then it applies to arbitrary sums of those functions as well.”

3. Simplifying

Think of the simplest variation of the problem that you expect you can solve that shares important features in common with your problem, and see if solving this simpler problem gives you ideas for how to solve the more difficult version.

“I don’t know how to hire a CTO, but I do know how to hire a software engineer because I’ve done it many times, and good CTOs will often themselves be good software engineers, so how can I tweak my software engineer hiring to make it appropriate for hiring a CTO?”

“I don’t know how to calculate this integral as it is, but if I remove one of the free parameters, I actually do know how to calculate it, and maybe doing that calculation will give me insight into the solution of the more complex integral.”

4. Crowd-sourcing 

Use suggestions from multiple people to gain insight into how to solve the problem, for instance by posting on Facebook or Twitter requesting people’s help, or by posting to a Q&A site like Quora, or by sending emails to 10 people you know explaining the problem and requesting assistance.

Business Example

“Do you have experience outsourcing manufacturing to China? If so, I’d appreciate hearing your thoughts about how to approach choosing a vendor.”

Health Example

“I have trouble getting myself to stick to doing exercise daily. If you also used to have trouble getting yourself to exercise but don’t anymore, I’d love to know what worked to make it easier for you.”

5. Splintering

If the problem you are trying to solve has special cases that a solution to the general problem would also apply to, consider just one or two of these special cases as examples and solve the problem just for those cases first. Then see if a solution to one of those special cases helps you solve the problem in general.

“I want to figure out how to improve employee retention in general, let me examine how I could have improved retention in the case of the last three people that quit.”

“I want to figure out how to convince a large number of people to become customers, let me first figure out how to convince just Bill and John to become customers since they seem like the sort of customer I want to attract, and see what general lessons I learn from doing that.”

Read the books or textbooks that seem most related to the topic, and see whether they provide a solution to the problem, or teach you enough related information that you can now solve it yourself.

Economics Example

“Economists probably have already figured out reasonable ways to estimate demand elasticity, let’s see what an econometrics textbook says rather than trying to invent a technique from scratch.”

Mental Health Example

“I’ve been feeling depressed for a long time, maybe I should read some well-liked books about depression.”

7. Searching

Think of a similar problem that you think practitioners, bloggers or academics might have already solved and search online (e.g., via google, Q&A sites, or google scholar academic paper search) to see if anyone has done a write-up about how they solved it.

Advertising Example

“I’m having trouble figuring out the right advertising keywords to bid on for my specific product, I bet someone has a blog post describing how to approach choosing keywords for other related products.”

Machine Learning Example

“I can’t get this neural network to train properly in my specific case, I wonder if someone has written a tutorial about how to apply neural networks to related problems.”

8. Unconstraining

List all the constraints of the problem, then temporarily ignore one or more of the constraints that make the problem especially hard, and try to solve it without those constraints. If you can, then see if you can modify that unconstrained solution until it becomes a solution for the fully constrained problem.

“I need to hire someone who can do work at the intersection of machine learning and cryptography, let me drop the constraint of having cryptography experience and recruit machine learning people, then pick from among them a person that seems both generally capable and well positioned to learn the necessary cryptography.”

Computer Science Example

“I need to implement a certain algorithm, and it needs to be efficient, but that seems very difficult, so let me first figure out how to implement an inefficient version of the algorithm (i.e., drop the efficiency constraint), then at the end I will try to figure out how to optimize that algorithm for efficiency.”

9. Distracting

Fill your mind with everything you know about the problem, including facts, constraints, challenges, considerations, etc. and then stop thinking about the problem, and go and do a relaxing activity that requires little focus, such as walking, swimming, cooking, napping or taking a bath to see if new ideas or potential solutions pop into your mind unexpectedly as your subconscious continues to work on the problem without your attention.

“For three days, I’ve been trying to solve this problem at work, but the solution only came to me when I was strolling in the woods and not even thinking about it.”

Example from mathematician Henri Poincaré

“The incidents of the travel made me forget my mathematical work. Having reached Coutances, we entered an omnibus to go someplace or other. At the moment when I put my foot on the step, the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with those of non-Euclidean geometry.”

10. Reexamining

Write down all the assumptions you’ve been making about the problem or about what a solution should I look like (yes – make an actual list). Then start challenging them one by one to see if they are actually needed or whether some may be unnecessary or mistaken.

Psychology Example

“We were assuming in our lab experiments that when people get angry they have some underlying reason behind it, but there may be some anger that is better modeled as a chemical fluctuation that is only loosely related to what happens in the lab, such as when people are quick to anger because they are hungry.”

“I need to construct a function that has this strange property, and so far I’ve assumed that the function must be smooth, but if it doesn’t actually need to be then perhaps I can construct just such a function out of simple linear pieces that are glued together.”

11. Reframing

Try to see the problem differently. For instance, by flipping the default, analyzing the inverse of the problem instead, thinking about how you would achieve the opposite of what you want, or shifting to an opposing perspective.

If we were building this company over again completely from scratch, what would we do differently in the design of our product, and can we pivot the product in that direction right now?”

“Should move to New York to take a job that pays $20,000 more per year? Well, if I already lived in New York, the decision to stay there rather than taking a $20,000 pay cut to move here would be an easy one. So maybe I’m overly focused on the current default of not being in New York and the short term unpleasantness of relocating.”

Marketing Example

“If I were one of our typical potential customers, what would I do to try to find a product like ours?”

12. Brainstorming

Set a timer for at least 5 minutes, and generate as many plausible solutions or ideas that you can without worrying about quality at all. Evaluate the ideas only at the end after the timer goes off.

“I’m going to set a timer for 5 minutes and come up with at least three new ways I could go about looking for a co-founder.”

“I’m going to set a timer for 20 minutes and come up with at least five possible explanations for why I’ve been feeling so anxious lately.”

13. Experting

Find an expert (or someone highly knowledgeable) in the topic area and ask their opinion about the best way to solve the problem.

“Why do you think most attempts at creating digital medical records failed, and what would someone have to do differently to have a reasonable chance at success?”

“What sort of optimization algorithm would be most efficient for minimizing the objective functions of this type?”

14. Eggheading

Ask the smartest person you know how they would solve the problem. Be sure to send an email in advance, describing the details so that this person has time to deeply consider the problem before you discuss it.

“Given the information I sent you about our competitors and the interviews we’ve done with potential customers, in which direction would you pivot our product if you were me (and why)?”

Research Example

“Given the information I sent you about our goals and the fact that our previous research attempts have gotten nowhere, how would you approach researching this topic to find the answer we need?”

15. Guessing

Start with a guess for what the solution could be, now check if it actually works and if not, start tweaking that guess to see if you can morph it into something that could work.

“I don’t know what price to use for the product we’re selling, so let me start with an initial guess and then begin trying to sell the thing, and tweak the price down if it seems to be a sticking point for customers, and tweak the price up if the customers don’t seem to pay much attention to the price.”

“My off the cuff intuition says that this differential equation might have a solution of the form x^a * e^(b x)for some a or b, let me plug it into the equation to see if indeed it satisfies the equation for any choice of a and b, and if not, let me see if I can tweak it to make something similar work.”

“I don’t know what the most effective diet for me would be, so I’ll just use my intuition to ban from my diet some foods that seem both unhealthy and addictive, and see if that helps.”

16. Comparing

Think of similar domains you already understand or similar problems you have already solved in the past, and see whether your knowledge of those domains or solutions to those similar problems may work as a complete or partial solution here.

“I don’t know how to find someone to fix things in my apartment, but I have found a good house cleaner before by asking a few friends who they use, so maybe I can simply use the same approach for finding a person to fix things.”

“This equation I’m trying to simplify reminds me of work I’m familiar with related to Kullback-Leibler divergence, I wonder if results from information theory could be applied in this case.”

17. Outsourcing

Consider whether you can hire someone to solve this problem, instead of figuring out how to solve it yourself.

“I don’t really understand how to get media attention for my company, so let me hire a public relations firm and let them handle the process.”

“I have no fashion sense, but I’d like to look better. Maybe I should hire someone fashionable who works in apparel to go shopping with me and help me choose what I should wear.”

18. Experimenting

Rapidly develop possible solutions and test them out (in sequence, or in parallel) by applying cheap and fast experiments. Discard those that don’t work, or iterate on them to improve them based on what you learn from the experiments.

“We don’t know if people will like a product like the one we have in mind, but we can put together a functioning prototype quickly, show five people that seem like they could be potential users, and iterate or create an entirely new design based on how they respond.”

“I don’t know if cutting out sugar will help improve my energy levels, but I can try it for two weeks and see if I notice any differences.”

19. Generalizing

Consider the more general case of the specific problem you are trying to solve, and then work on solving the general version instead. Paradoxically, it is sometimes easier to make progress on the general case rather than a specific one because it increases your focus on the structure of the problem rather than unimportant details.

“I want to figure out how to get this particular key employee more motivated to do good work, let me construct a model of what makes employees motivated to do good work in general, then I’ll apply it to this case.”

“I want to solve this specific differential equation, but it’s clearly a special case of a more general class of differential equations, let me study the general class and see what I can learn about them first and then apply what I learn to the specific case.”

20. Approximating

Consider whether a partial or approximate solution would be acceptable and, if so, aim for that instead of a full or exact solution.

“Our goal is to figure out which truck to send out for which delivery, which theoretically depends on many factors such as current location, traffic conditions, truck capacity, fuel efficiency, how many hours the driver has been on duty, the number of people manning each truck, the hourly rate we pay each driver, etc. etc. Maybe if we focus on just the three variables that we think are most important, we can find a good enough solution.”

“Finding a solution to this equation seems difficult, but if I approximate one of the terms linearly it becomes much easier, and maybe for the range of values we’re interested in, that’s close enough to an exact solution!”

21. Annihilating

Try to prove that the problem you are attempting to solve is actually impossible. If you succeed, you may save yourself a lot of time working on something impossible. Furthermore, in attempting to prove that the problem is impossible, you may gain insight into what makes it actually possible to solve, or if it turns out to truly be impossible, figure out how you could tweak the problem to make it solvable.

“I’m struggling to find a design for a theoretical voting system that has properties X, Y, and Z, let me see if I can instead prove that no such voting system with these three properties could possibly exist.”

“My goal has been to prove that this property always applies to this class of functions, let me see if I can generate a counterexample to prove that this goal is actually impossible.”

Physics Example

“I was trying to design a physical system with certain properties, but I now realize that if such a system could be realized, then it would allow for perpetual motion, and therefore it is impossible to build the sort of system I had in mind.”

22. Modeling

Try to build an explicit model of the situation, including what elements there are and how they related to each other. For instance, try drawing a diagram or flow chart that encapsulates your understanding of all the important information that relates to the problem.

“I’ve noticed that there are certain situations that cause me to freak out that would not bother other people. So what are the common elements when this happens, and how do they seem to relate to each other and to the way I end up feeling? Let me see if I can draw a diagram of this on paper.”

“What are all the different groups (e.g., providers, payers, patients) involved in the healthcare system, and if we diagram how they interact with each other, will that give us ideas for how we can sell our healthcare product?”

23. Brute forcing

One-by-one, consider every possible solution to the problem until you’ve found a good one or exhausted them all.

Startup example

“We’re not sure the order that these four parts of the user registration process should go in, so let’s make a list of all 24 possible orderings, and examine them one by one to see which makes the most sense.”

“It’s not clear how to pick which of these machine learning methods to use on this problem, but since we have lots of data, we can just try each of the algorithms and see which makes the most accurate predictions on data we’ve held to the side for testing.”

24. Refocusing

Forget about trying to solve the problem, and instead consider why you are trying to solve it. Then consider if there is a different problem you can work on that is aimed at producing the same sort of value in a different way.

Startup Example 1

“Maybe instead of trying increasingly hard to figure out how to get this type of consumer to buy, we need to switch our focus to the problem of how to sell to businesses, since what we actually care about is selling it, not selling it to one particular group.”

Startup Example 2

“I’ve been banging my head against the wall trying to implement this extremely complex feature, but there are lots of features that users would find just as valuable that are much easier to implement, maybe I should focus on those instead.”

25. Sidestepping

Consider whether you really want to spend more time trying to solve this problem and whether you can avoid the problem by instead working on totally different problems that you also care about.

“We’ve tried selling our solution to replace Excel for 12 months without much success, maybe we should go back to the drawing board and consider designing a totally new product. Our assumptions about customer needs seem to simply have been wrong.”

“I’ve spent six months on this math problem with little progress, but there are two other math problems I’m equally excited about, so maybe I should spend some time investigating whether one of those may be more tractable.”

26. Aggregating

Consider whether multiple problems you’re now experiencing might, in fact, be caused by the same source of difficulty, rather than being independent problems.

“I seem to be having conflict with a few different friends right now – could it be that I’m doing something without realizing it that is increasing my chance of conflict with all of them?”

“Three employees have quit in the last month. Perhaps the primary problem isn’t really about convincing this one important employee to stay, which is how I was framing it, but rather, about identifying why people keep leaving more generally.”

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How to Use Problem-Solving Examples to Improve Team Performance

Effective problem-solving is an indispensable skill for high-performing teams, whether they’re overcoming complex challenges, streamlining processes, or fostering innovation. But there’s a difference between recognizing a problem and knowing how to address it. Teams need practical guidance and real-world problem-solving examples to help them get started.

Learn more about the importance of problem-solving, what this looks like in practice, and how Whole Brain® Thinking can help.

Why Problem-Solving Is Important in Every Organization

Successful organizations are good at implementing new ideas, and they’re also adept at recognizing and responding to problems efficiently. They see problems as opportunities, even when they are thorny or complicated. Instead of problems causing division, they unite teams as they work together to diagnose the issues, collaborate on potential solutions, and move forward.

To embed a culture of problem-solving into your organizations, it’s important to: 

• Acknowledge and name the problem : Problem-solving starts with problem definition . Team members must understand that a problem exists and how it impacts the team and the business.
• Find the root cause : The goal of problem-solving is to create lasting solutions to causes, not just address symptoms.
• Work together to find solutions and test them : With the root cause in mind, teams can come together and test potential solutions. This step can be repeated as necessary, depending on the findings.
• Incorporate the new solution into your processes: If you can’t avoid the problem, you can often avoid a recurrence by applying the solution to your processes and habits.

Rarely are problems solved by one person; you need collaborative brainstorming to identify and resolve root causes.  Problem-solving should be a structured process that instills organizational discipline while inviting employees to contribute their questions, experience, and ingenuity in a collaborative environment. 

Common Skills for Effective Problem-Solving

There are countless types of workplace problems, and each might require a different set of skills, steps, and philosophies to address. That said, there are core skills that all leaders can develop in their teams to make the problem-solving process more structured and consistent. 

Here are a few common skills that facilitate ‌effective problem-solving in the workplace. 

Active Listening

Active listening involves intentionally focusing on what the other person is saying without interruption or judgment. Engaging in active listening isn’t just about paying attention but also attempting to understand the meaning and intent of the speaker.

In the context of problem-solving, active listening helps you understand the other person’s intent as they describe a problem, its circumstances, and possible solutions. Active listening can help at every stage of problem-solving because it facilitates shared understanding and reduces miscommunication. When people listen deeply and with intent, they better understand the problem, what might be causing it, what action has been taken, and what might be tried next.  

Put this skill into practice by asking open-ended questions, repeating or paraphrasing the speaker’s words back to ensure understanding, and being patient. This technique can feel time-consuming, but you ultimately save time by gaining clarity, avoiding confusion, and building rapport and trust.

Critical Thinking

Critical thinking is the ability to assess a situation objectively and logically, ultimately making decisions based on facts and evidence. It involves developing and evaluating hypotheses and analyzing data to draw conclusions to make informed decisions. It also involves considering the long-term implications of the decisions that result from this thinking process.

Critical thinking for problem-solving presents itself when teams are working to understand the problem and identify the most logical steps forward to resolve the challenge. This type of thinking typically involves good communication with team members, insightful questions, and tapping into analytical thinking. 

Time Management

Time management helps teams break down problems into smaller steps and account for how long each step will take. This is especially helpful for problems that must be solved on a deadline or for project-based work, where progress depends on many contingencies across individuals, teams, or even departments. 

Effective time management enables teams to prioritize tasks, allocate resources, and create accountability around deadlines. This approach also creates clear expectations for employees.

Information Processing

Information processing is a framework that involves recognizing patterns in data and using critical thinking to interpret and draw conclusions. 

In the workplace, one way information processing can be used is to identify root causes by analyzing data such as customer feedback, financial records, or performance metrics.

How Whole Brain® Thinking Supports Problem-Solving

When teams understand how each person responds to challenging situations, they're better equipped to work together on mutually beneficial solutions. This is where Herrmann’s Whole Brain® Thinking framework and Herrmann Brain Dominance Instrument (HBDI®) assessment can be especially helpful. 

The HBDI® assessment helps people discover their thinking preferences, and the Whole Brain® Thinking framework helps teams understand those thinking preferences in themselves and others. Whole Brain® Thinking categorizes thinking preferences into four quadrants: Analytical (Blue), Structural (Green), Relational (Red), and Experimental (Yellow). 

People typically prefer one or two quadrants, but people use all four quadrants daily. No quadrant or combination of quadrants is superior to another. 

Whole Brain® Thinking can help teams improve their problem-solving skills by asking these questions for problem-solving:

• What? Look at the relevant facts about the problem.
• How? Identify what processes, procedures, etc., could be causing the obstacle or situation.
• Who? Determine the people who are implementing those processes and procedures.
• Why? Look at why the problem is happening and whether there is another way to view the challenge or situation.

These problem-solving questions can help teams cut out ‌unnecessary steps and find effective solutions quickly.

3 Creative Approaches to Problem-Solving at Work

While there are many ways to solve problems, you can access many proven approaches to help your team get started. These methods often push participants to think differently and Whole Brain® Thinking to get outside the box when confronting complex or difficult problems. 

Here are three creative problem-solving examples of problem-solving at work.

Design Thinking 

Design thinking is a problem-solving approach that centers on deeply understanding users and their needs. It is an iterative process that involves five distinct stages: empathize, define, ideate, prototype, and test. This process helps teams to approach problems from a user-centric perspective and develop creative solutions.

Whole Brain® Thinking in design takes the four quadrants and asks foundational questions with design in mind. Modifying these questions for a problem-solving exercise might look like this:

• What is the end goal? (Blue)
• How are we getting there? (Green)
• Who’s helping solve the problem, and who could be affected by the solution? (Red)
• Why are you solving the problem (and in this way)? (Yellow)

Reverse Engineering

Reverse engineering is the process of taking an existing product, system, or object and deconstructing it to understand its functionality, components, and construction. This approach can be beneficial when solving problems because it breaks the challenge down into smaller parts.

Many problems can seem overwhelming at first glance — too big for any person or team to solve. The bigness of the problem can obscure ‌possible causes, adding to the frustration and even creating feelings of helplessness. Reverse engineering is a way in, helping your team take apart the problem and examine it, one piece at a time. 

The Whole Brain® Thinking framework complements reverse engineering by tapping into people’s skills and thinking preferences across the quadrants. As teams break down complex problems and collaborate on solutions, they access different types of thinking, some of which will feel more natural. 

For example, analytical thinkers embrace logical, fact-based approaches. They can buy into identifying the elements of the problem and what they mean. The organization of reverse engineering is welcoming for structural thinkers. Taking this new perspective to the problem helps interpersonal thinkers overcome the emotions potentially triggered by the big, overwhelming original problem.

Finally, experimental thinkers are skilled at integrating and synthesizing information. Reverse engineering is a prime opportunity for them to assess the components and reconstruct them in a way that advances new ideas and potential solutions.

Mind Mapping

Mind mapping is a creative and visual way of organizing ideas and information. It’s often represented by a diagram that uses words and visuals to illustrate relationships between different concepts or ideas. Mind mapping can be an effective tool for group problem-solving because it helps people to brainstorm without losing track of ideas or strains of thought that might later prove useful.

Mind mapping is a powerful tool for Whole Brain® Thinking teams because it encourages open dialogue, close collaboration, and embracing different perspectives, experiences, and thinking styles.

Embrace Thinking to Make Problem-Solving More Effective

Every organization has to solve problems, but you don’t have to dread them. When you build a team of Whole Brain® Thinkers and adopt successful problem-solving techniques, you can turn problems into opportunities that impact the business and your customers. 

Try these problem-solving examples in your team to see how people respond — and keep experimenting. Just like solving organizational problems can require multiple attempts, finding the best problem-solving strategies for your unique team can take time to perfect.

Explore more ways to help your team solve problems effectively .

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The four-color, four-quadrant graphic, HBDI® and Whole Brain® are trademarks of Herrmann Global, LLC.

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Inspiration & Information for Self-Improvement

Problem Solving Models (List & Applications)

In today’s fast-paced business environment, effective problem-solving techniques are essential for teams and organizations to tackle challenges and resolve critical issues. Whether it’s identifying the root cause of a recurring problem or finding innovative solutions to complex issues, having a structured approach can greatly enhance problem-solving outcomes. This article explores different problem-solving models, techniques, and strategies that can empower individuals and teams to navigate through obstacles and find optimal solutions.

Key Takeaways:

• Problem-solving techniques are crucial for teams and organizations to overcome challenges and achieve desired outcomes.
• Clear problem definition and analysis play a vital role in the problem-solving process .
• Using problem-solving tools can help generate effective solutions and test their viability.
• Well-designed problem-solving workshops provide a structured approach and foster open discussions.
• Tips such as defining the problem, trying different approaches, and involving the right people enhance the problem-solving process .

Table of Contents

Importance of Problem Identification and Analysis

Before finding solutions , accurately identifying and defining the problem is crucial. Allowing all team members to contribute their views in an open and safe manner is essential for effective problem identification and analysis. Creating a problem statement that clearly describes the problem and sets the goal for the problem-solving process is also vital.

Problem Solving Tools for Generating Solutions

When it comes to problem-solving, having the right tools and methods can make all the difference. This section introduces a range of problem-solving tools that can help teams generate effective solutions. By leveraging these tools, teams can navigate through complex challenges and find viable options to address the problem at hand.

The problem-solving process is often iterative, requiring teams to constantly test and refine their solutions. This iterative approach allows teams to learn from their mistakes, make necessary adjustments, and roadtest viable solutions for optimal outcomes.

One effective tool for generating solutions is the use of consensus tools and methods. Consensus tools encourage teams to tap into the collective intelligence of the group, promoting collaboration, and aligning everyone towards a common goal. By involving all team members in the decision-making process, consensus tools can facilitate effective problem-solving and help teams reach agreements that everyone can support.

To illustrate the value of problem-solving tools , the following table provides a comparison of different consensus tools along with their applications.

By leveraging problem-solving tools and embracing an iterative process , teams can enhance their problem-solving capabilities and find innovative solutions to even the most complex challenges.

Designing Effective Problem Solving Workshops

When it comes to solving complex problems, well-designed workshops can be instrumental in fostering collaborative brainstorming and effective problem-solving sessions. This section explores the key aspects of designing problem-solving workshops, including agenda design , workshop planning , facilitation skills , and creating a psychologically safe space for open and constructive discussions.

Agenda Design

An effective agenda sets the foundation for a successful problem-solving workshop. It provides a clear framework and structure to guide participants through the process, ensuring that all stages of problem exploration and solution implementation are covered. Additionally, a well-designed agenda allows for flexibility and adaptation to the specific needs of the participants and the problem at hand.

Consider including the following elements in your agenda:

• Introduction and icebreaker activities to create a positive and inclusive atmosphere
• Problem definition and analysis to ensure all participants have a common understanding of the problem
• Idea generation and exploration to encourage creativity and diverse perspectives
• Evaluation of potential solutions through critical thinking and analysis
• Action planning to define next steps and assign responsibilities
• Closing and reflection to gather feedback and insights from participants

Workshop Planning

Effective workshop planning involves careful consideration of logistical and practical aspects to ensure the smooth execution of the session. Some key factors to consider include:

• Choosing an appropriate venue that accommodates the number of participants and fosters collaboration
• Providing necessary materials, such as flip charts, sticky notes, and markers, to facilitate idea sharing and visual representation
• Ensuring availability of technical equipment, if needed, for presentations or visual aids
• Scheduling the workshop at a time when participants are most likely to be engaged and focused
• Setting realistic timeframes for each agenda item to maintain momentum and avoid unnecessary delays

Facilitation Skills

Effective facilitation is key to guiding participants through the problem-solving process and maximizing engagement and collaboration. A skilled facilitator should:

• Establish clear communication channels and encourage equal participation from all participants
• Create a safe and nonjudgmental environment that promotes open sharing of ideas and perspectives
• Listen actively to participants’ input, ensuring everyone feels heard and respected
• Facilitate consensus-building and encourage collaboration among participants
• Manage time effectively to keep the workshop on track and ensure all agenda items are addressed

Remember that the facilitator plays a crucial role in maintaining the energy and momentum throughout the workshop, ensuring that each participant feels valued and contributing to the problem-solving session .

Psychologically Safe Space

Creating a psychologically safe space is essential for participants to feel comfortable expressing their thoughts and perspectives openly. This can be achieved by:

• Establishing ground rules that encourage respectful and constructive communication
• Creating an inclusive environment that values diverse perspectives and experiences
• Emphasizing that all ideas are valuable and should be considered without judgment
• Encouraging active listening and building upon each other’s ideas
• Acknowledging and appreciating the contributions of all participants

An environment that promotes psychological safety enables participants to engage in meaningful discussions, challenge assumptions, and generate innovative solutions.

Problem Solving Tips for Success

When faced with a problem, it’s essential to approach it with a clear and strategic mindset. Here are some problem-solving tips that can help you achieve successful outcomes:

• Clearly define the problem: Before diving into solutions, take the time to clearly define the problem at hand. Break it down into manageable parts and ensure everyone involved has a solid understanding of the issue.
• Avoid jumping to conclusions: It’s easy to make assumptions and jump to conclusions when faced with a problem. Instead, take a step back, gather all the relevant information, and analyze it objectively before drawing conclusions. Avoid letting biases cloud your judgment.
• Try different approaches: Don’t get stuck in a single approach. Be open to exploring different angles and perspectives. Consider brainstorming sessions or using problem-solving techniques like the Six Thinking Hats to encourage creative thinking and generate diverse solutions.
• Don’t take it personally: Problem-solving is a collaborative process that involves different viewpoints. It’s important not to take criticism or differing opinions personally. Embrace constructive feedback and use it to refine your ideas and strategies.
• Get the right people in the room: Assemble a team of individuals with diverse skills and expertise that are relevant to the problem at hand. Having the right people involved ensures a broader range of perspectives and a higher chance of finding effective solutions.
• Document everything: Keep a record of the entire problem-solving process, including discussions, decisions, and possible solutions. This documentation not only provides valuable insights but also helps track progress and enables effective communication with stakeholders.
• Bring a facilitator: Having a neutral facilitator can greatly enhance the problem-solving process. A facilitator ensures that the discussions remain focused, encourages participation from all team members, and helps maintain a productive atmosphere.
• Develop problem-solving skills: Continuously work on developing your problem-solving skills. Seek out opportunities to learn new techniques, attend workshops, or engage in professional development programs. Problem-solving is a skill that can be honed and improved over time.
• Design a great agenda: A well-planned and structured agenda sets the tone for an effective problem-solving session . It provides a roadmap and ensures that the discussion stays on track. Include time for brainstorming, idea evaluation , and decision-making to maximize productivity.

By following these problem-solving tips , you can increase your chances of finding innovative and effective solutions to complex problems.

Problem Solving Models and Strategies: Polya’s Four-Step Model

In this section, we will explore Polya’s four-step problem-solving model, a versatile approach that can be applied to various types of problems. This model provides a systematic framework for understanding, analyzing, and solving problems effectively.

Step 1: Understand the Problem

The first step in Polya’s model is to gain a clear understanding of the problem at hand. This involves thoroughly analyzing the problem statement , identifying any constraints or limitations, and determining what needs to be achieved.

Step 2: Devise a Plan

Once the problem is understood, the next step is to devise a plan or strategy to solve it. This may involve breaking down the problem into smaller, more manageable parts, identifying relevant concepts or theories, and exploring possible approaches or techniques.

Step 3: Carry Out the Plan

With a well-defined plan in place, it’s time to execute it. This step involves taking action according to the devised plan, implementing the chosen strategy, and applying problem-solving techniques to address the problem effectively.

Step 4: Look Back

After carrying out the plan, it is crucial to reflect on the solution and evaluate its effectiveness. This step involves reviewing the outcomes, assessing the strengths and weaknesses of the approach, and identifying any lessons learned for future problem-solving endeavors.

Polya’s four-step model provides a structured and iterative approach to problem solving, allowing individuals and teams to navigate complex challenges with clarity and confidence. By promoting a systematic analysis of problems and emphasizing reflection, this model enhances problem-solving skills and facilitates continuous improvement.

Let’s take a closer look at how Polya’s model can be applied to real-life scenarios and academic contexts:

The application of Polya’s four-step model in these scenarios demonstrates its effectiveness in guiding problem-solving processes and facilitating successful outcomes, whether in business or educational settings.

Problem Solving Models and Strategies: IDEAL Model

In problem-solving, having a structured approach can greatly enhance effectiveness. The IDEAL model , developed by Bransford and Stein, provides a comprehensive framework for understanding and solving problems in both educational and professional settings.

Identify the Problem

The first step of the IDEAL model is to identify the problem at hand. It involves recognizing and clearly defining the core issue that needs to be addressed. By honing in on the specific problem, you can direct your efforts towards finding an appropriate solution.

Define an Outcome

Once the problem is identified, the next step is to define the desired outcome or goal. This requires envisioning the ideal state or solution that you aim to achieve. Clearly defining the outcome helps guide the problem-solving process and aligns the efforts of the team.

Explore Possible Strategies

With the problem and desired outcome in mind, the next step is to explore possible strategies or approaches to solve the problem. This involves brainstorming and considering different perspectives and ideas. By exploring a range of strategies, you increase the likelihood of finding innovative and effective solutions.

Anticipate Outcomes and Act

After evaluating the different strategies, it is essential to anticipate the potential outcomes of each option. This step involves assessing the pros, cons, risks, and benefits associated with each strategy. Once the analysis is complete, it is time to make a decision and take action.

Look and Learn

The final step of the IDEAL model is to reflect on the problem-solving process and learn from it. This step includes evaluating the effectiveness of the chosen strategy, identifying areas for improvement, and capturing lessons learned for future problem-solving endeavors. By actively engaging in this reflection, you enhance your problem-solving skills over time.

The IDEAL model offers a structured and systematic approach to problem-solving. By following these steps – identifying the problem, defining an outcome, exploring possible strategies, anticipating outcomes and acting, and reflecting on the process – individuals and teams can enhance their problem-solving capabilities and achieve better outcomes.

Problem Solving Examples: Polya’s Four-Step Model

In this section, we will explore some examples of problem solving using Polya’s four-step model . These examples will demonstrate how the model can be applied to solve everyday problems, as well as mathematical and academic problems. By understanding the problem, devising a plan, executing the plan, and reflecting on the solution, the problem-solving process becomes more structured and effective.

Example 1: Everyday Problem

Let’s consider a common everyday problem: organizing a family gathering. The problem is to find a suitable date, venue, and activities that accommodate everyone’s preferences and availability. Using Polya’s four-step model, we can break down the problem-solving process:

• Understanding the problem: Analyze the requirements, preferences, and constraints of all family members.
• Devising a plan: Create a checklist of potential dates, venues, and activities. Consider the logistics, costs, and feasibility of each option.
• Executing the plan: Discuss the options with family members and gather their input. Negotiate and find common ground to finalize the details.
• Reflecting on the solution: Evaluate the success of the gathering based on the feedback and experience of the participants. Identify areas for improvement in future events.

Using Polya’s model helps ensure that all aspects of the problem are considered and addressed, leading to a more inclusive and successful family gathering.

Example 2: Mathematical Problem

Let’s now apply Polya’s four-step model to a mathematical problem. Consider the following example:

“Find the value of x in the equation 3x + 7 = 22.”

By following Polya’s four-step model, we can approach this problem systematically:

• Understanding the problem: Recognize that the equation represents a linear relationship and that the goal is to find the value of x that satisfies the equation.
• Devising a plan: Isolate the variable x on one side of the equation by performing the necessary arithmetic operations.
• Executing the plan: Apply the plan by subtracting 7 from both sides of the equation and then dividing by 3 to isolate x.
• Reflecting on the solution: Verify the calculated value of x by substituting it back into the original equation. Check if it satisfies the equation and provides a logical solution.

Through the application of Polya’s four-step model, we can solve mathematical problems with clarity and confidence.

Polya’s four-step model provides a systematic approach to problem-solving. The examples discussed in this section demonstrate the practical application of the model in solving everyday and mathematical problems. By understanding the problem, devising a plan, executing the plan, and reflecting on the solution, individuals and teams can enhance their problem-solving process and achieve effective outcomes.

Problem Solving Examples: IDEAL Model

This section provides practical examples of problem solving using the IDEAL model. Through these examples, you will gain a better understanding of how the IDEAL model can be applied in various contexts to analyze and solve problems effectively.

Example 1: Improving Customer Satisfaction

A customer service team in a retail company noticed a decline in customer satisfaction ratings. Following the IDEAL model, they identified the problem: low customer satisfaction. They defined the outcome they wanted to achieve: increase customer satisfaction by 15% within three months. Next, the team explored possible strategies such as enhancing training programs, implementing a customer feedback system, and improving communication channels. They anticipated the outcomes of each strategy, considering factors like resource allocation, customer response, and employee engagement. After careful evaluation, they decided to implement a comprehensive customer feedback system. The team acted upon their decision and rolled out the new system, collecting customer feedback and analyzing the data regularly. They closely monitored customer satisfaction metrics, made refinements based on feedback, and ensured timely resolution of customer issues. Throughout the process, the team reflected on the effectiveness of their strategies and made necessary adjustments. As a result, customer satisfaction improved by 20% within the target timeline, exceeding their initial goal.

Example 2: Optimizing Project Management

A project management team in a software development company faced challenges with meeting project deadlines and maintaining quality standards. Applying the IDEAL model, they took a systematic approach to address these issues. They identified the problem: missed project deadlines and compromised quality. Defining the outcome, they aimed to improve on-time project completion and deliver high-quality products. The team explored various strategies, including enhancing project planning and tracking tools, implementing agile project management methodologies, and fostering cross-functional collaboration. They anticipated the outcomes of each strategy, considering factors like stakeholder satisfaction, resource utilization, and project productivity. After careful evaluation, they decided to adopt an agile project management approach. The team took action and implemented agile practices, such as daily stand-up meetings, sprint planning, and continuous feedback loops. These practices enabled them to adapt quickly to changing project requirements and effectively manage resources. Throughout the project, the team continuously looked back, reflecting on the project’s progress and identifying areas for improvement. The iterative nature of the IDEAL model allowed them to make necessary adjustments, resulting in improved project performance and increased customer satisfaction.

Example 3: Enhancing Employee Engagement

A human resources team in a multinational corporation aimed to enhance employee engagement and improve overall organizational culture. They utilized the IDEAL model to guide their problem-solving process. They first identified the problem: low employee engagement and poor organizational culture. Defining the outcome, they aimed to increase employee engagement by 10% and foster a positive work environment. The team explored strategies such as implementing employee recognition programs, promoting work-life balance, and providing leadership development opportunities. They anticipated the outcomes of each strategy, considering factors like employee satisfaction, retention rates, and productivity. After careful evaluation, they prioritized the implementation of employee recognition programs. The team took proactive steps and launched a company-wide recognition program, acknowledging and appreciating employee contributions. They encouraged open communication and collaboration, creating a supportive and inclusive work environment. Throughout the implementation process, the team regularly evaluated the program’s effectiveness and gathered feedback from employees. They made adjustments based on the feedback received and ensured continuous improvement. As a result of their efforts, employee engagement increased by 12%, and the overall organizational culture improved, leading to enhanced productivity and employee satisfaction.

Example 4: Streamlining Supply Chain Operations

A supply chain management team in a manufacturing company faced inefficiencies in their operations, leading to delays in product delivery and increased costs. They applied the IDEAL model to overcome these challenges. They identified the problem: supply chain inefficiencies causing delays and increased costs. Defining the outcome, they aimed to streamline supply chain operations, reduce delivery lead times by 20%, and minimize costs. The team explored strategies such as implementing advanced inventory management systems, optimizing transportation routes, and enhancing supplier relationships. They anticipated the outcomes of each strategy, considering factors like cost savings, lead time reductions, and customer satisfaction. After careful evaluation, they decided to optimize transportation routes to reduce delivery lead times. The team took action and collaborated with logistics partners to streamline transportation routes, eliminate bottlenecks, and enhance delivery efficiency. They monitored performance indicators, such as on-time delivery rates and transportation costs, to measure the effectiveness of the changes. Throughout the process, the team reflected on the impact of their actions and continuously looked for opportunities to further optimize the supply chain operations. As a result, they successfully reduced delivery lead times by 25% and achieved significant cost savings.

In each of these examples, the IDEAL problem-solving model played a crucial role in guiding teams to effectively define problems, explore strategies, anticipate outcomes, take action, and reflect on the process. By utilizing the IDEAL model, teams can enhance their problem-solving capabilities and achieve desirable outcomes in diverse scenarios.

Art of Problem Solving: Slowing Down and Asking Questions

In the art of problem solving , one key element that often gets overlooked is the importance of slowing down and adopting a problem-solving mindset . In our fast-paced world, we tend to rush through challenges, seeking quick solutions without taking the time to fully understand the problem at hand.

Slowing down allows us to step back, analyze the situation, and gain a deeper understanding of the problem. By taking a moment to pause and reflect, we can identify any assumptions or biases that may be clouding our judgment. It allows us to approach the problem-solving process with a clear and open mind, ready to explore new possibilities.

One effective way to slow down and gain a fresh perspective is to ask great questions. Questions have the power to stimulate creativity, challenge preconceived notions, and generate multiple perspectives. They help us to delve deeper into the problem, uncovering hidden complexities and uncovering new insights.

“The important thing is not to stop questioning. Curiosity has its own reason for existing.” – Albert Einstein

Benefits of Slowing Down and Asking Questions

When we slow down and ask questions, we open up a world of possibilities. Here are some key benefits of adopting this approach:

• Stimulates creativity: Asking questions encourages out-of-the-box thinking, sparking new ideas and innovative solutions.
• Challenges assumptions: By questioning our assumptions, we can uncover biases and limitations that may be hindering our problem-solving process.
• Explores different perspectives: Asking questions helps us consider diverse viewpoints, leading to a more comprehensive understanding of the problem.
• Overcomes stress and limitations: Slowing down and being curious reduces stress and allows for a more mindful problem-solving process, enabling us to navigate challenges more effectively.

By adopting a problem-solving mindset that prioritizes slowing down and asking questions , we can unlock our full problem-solving potential and approach challenges with clarity and confidence.

Problem Solving Techniques: Brainstorming and Six Thinking Hats

In problem-solving, it’s crucial to have effective techniques that stimulate creativity, generate ideas, and evaluate potential solutions. Two widely used problem-solving techniques are brainstorming and the six thinking hats method.

Brainstorming is a collaborative idea generation process that encourages participants to think freely and generate as many ideas as possible. The goal is to create a nonjudgmental environment where all ideas are welcomed and explored. By suspending judgment and fostering an open mindset, brainstorming enables teams to uncover innovative solutions and overcome obstacles.

The six thinking hats method, developed by Edward de Bono, provides a structured approach to problem solving. This technique divides thinking into six distinct perspectives, each associated with a specific color hat. The different hats represent different modes of thinking and allow individuals to look at a problem from multiple angles. The six hats are:

• White Hat : Focusing on the available information and facts
• Red Hat : Exploring emotions, intuitions, and feelings
• Black Hat : Identifying potential risks, obstacles, and critical judgment
• Yellow Hat : Identifying benefits, opportunities, and positive aspects
• Green Hat : Stimulating creativity and generating alternative ideas
• Blue Hat : Managing the thinking process and facilitating discussions

The six thinking hats method allows teams to wear different hats at different moments, encouraging diverse perspectives and avoiding bias. This technique enhances idea generation, problem analysis , and decision-making by ensuring that all relevant aspects are considered.

By combining brainstorming and the six thinking hats method, teams can benefit from both free-flowing idea generation and structured analysis. This dynamic approach can lead to innovative solutions that address complex problems effectively.

Next, we’ll explore the concept of “How Might We?” ( HMW ) questions, which further enhance idea generation and problem-solving.

In conclusion, problem-solving models, strategies, and techniques play a crucial role in addressing challenges and achieving desired outcomes in various fields. By utilizing effective problem-solving methods, teams and organizations can navigate complex issues, identify innovative solutions, and drive positive change.

Developing problem-solving skills is essential for individuals and teams to approach problems with clarity and confidence. Through clear problem identification , thorough analysis, and the application of problem-solving tools, teams can work collaboratively to generate viable solutions and make informed decisions.

Creating a supportive environment that encourages open communication, diverse perspectives, and an iterative approach to problem-solving is key to success. By fostering a culture that values curiosity, creativity, and continuous learning, organizations can empower their employees to tackle challenges head-on and drive meaningful progress.

In summary, problem-solving is not just a necessary skill, but also an art. By leveraging problem-solving models, techniques, and strategies, individuals and teams can confidently navigate complex issues, overcome obstacles, and achieve optimal outcomes. With a clear problem-solving process, a supportive environment, and a commitment to continuous improvement, problem-solving becomes a powerful tool for success in any context.

What is the importance of problem identification and analysis?

Problem identification and analysis are crucial in the problem-solving process as they help in accurately defining the problem, setting a clear goal, and understanding the underlying factors contributing to the problem.

What are some problem-solving tools for generating solutions?

There are various problem-solving tools available, including brainstorming, consensus tools, and iterative processes. These tools aid in generating solutions by encouraging creativity, tapping into collective intelligence, and refining ideas through testing and feedback.

How can I design effective problem-solving workshops?

To design effective problem-solving workshops, focus on agenda design , facilitation skills , and creating a psychologically safe space. It is essential to plan the workshop, provide structure, encourage open discussions, and guide the group towards solution implementation.

What are some problem-solving tips for success?

Some problem-solving tips for success include clearly defining the problem, avoiding hasty conclusions, trying different approaches, maintaining a constructive and collaborative mindset, getting the right people involved, documenting the process, and considering the role of a facilitator.

What is Polya’s four-step problem-solving model?

Polya’s four-step problem-solving model involves understanding the problem, devising a plan, executing the plan, and reflecting on the solution. It is a versatile model applicable to both academic and real-life problems.

What is the IDEAL problem-solving model?

The IDEAL problem-solving model includes identifying the problem, defining an outcome, exploring strategies, anticipating outcomes, and reflecting on the process. It is a comprehensive model for understanding and solving problems in various settings.

Can you provide examples of problem solving using Polya’s four-step model?

Sure! Examples of problem solving using Polya’s four-step model include solving everyday problems and academic/mathematical problems. These examples demonstrate the importance of understanding the problem, devising a plan, executing the plan, and reflecting on the solution.

Can you provide examples of problem solving using the IDEAL model?

Of course! Examples of problem solving using the IDEAL model cover various contexts and demonstrate the importance of identifying the problem, defining an outcome, exploring strategies, anticipating outcomes, and reflecting on the process for effective problem solving.

How does slowing down and asking questions contribute to problem solving?

Slowing down and adopting a problem-solving mindset allows for asking great questions, stimulating creativity, challenging assumptions, and generating multiple perspectives. This approach helps overcome stress and limitations, leading to better problem-solving outcomes.

What are some problem-solving techniques I can use?

Some problem-solving techniques include brainstorming and the six thinking hats method. Brainstorming fosters creativity, idea generation, and evaluation, while the six thinking hats method encourages considering different perspectives and exploring possibilities.

What are the key takeaways from this article on problem-solving?

The key takeaways include understanding the importance of problem-solving models, strategies, and techniques for tackling challenges, developing problem-solving skills, creating a supportive environment, and using a structured approach for successful outcomes.

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