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Sudoku for Beginners: How to Improve Your Problem-Solving Skills

Are you a beginner when it comes to solving Sudoku puzzles? Do you find yourself frustrated and unsure of where to start? Fear not, as we have compiled a comprehensive guide on how to improve your problem-solving skills through Sudoku.

Understanding the Basics of Sudoku

Before we dive into the strategies and techniques, let’s first understand the basics of Sudoku. A Sudoku puzzle is a 9×9 grid that is divided into nine smaller 3×3 grids. The objective is to fill in each row, column, and smaller grid with numbers 1-9 without repeating any numbers.

Starting Strategies for Beginners

As a beginner, it can be overwhelming to look at an empty Sudoku grid. But don’t worry. There are simple starting strategies that can help you get started. First, look for any rows or columns that only have one missing number. Fill in that number and move on to the next row or column with only one missing number. Another strategy is looking for any smaller grids with only one missing number and filling in that number.

Advanced Strategies for Beginner/Intermediate Level

Once you’ve mastered the starting strategies, it’s time to move on to more advanced techniques. One technique is called “pencil marking.” This involves writing down all possible numbers in each empty square before making any moves. Then use logic and elimination techniques to cross off impossible numbers until you are left with the correct answer.

Another advanced technique is “hidden pairs.” Look for two squares within a row or column that only have two possible numbers left. If those two possible numbers exist in both squares, then those two squares must contain those specific numbers.

Benefits of Solving Sudoku Puzzles

Not only is solving Sudoku puzzles fun and challenging, but it also has many benefits for your brain health. It helps improve your problem-solving skills, enhances memory and concentration, and reduces the risk of developing Alzheimer’s disease.

In conclusion, Sudoku is a great way to improve your problem-solving skills while also providing entertainment. With these starting and advanced strategies, you’ll be able to solve even the toughest Sudoku puzzles. So grab a pencil and paper and start sharpening those brain muscles.

This text was generated using a large language model, and select text has been reviewed and moderated for purposes such as readability.

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Table of Contents

Problem solving is the art of identifying problems and implementing the best possible solutions. Revisiting your problem-solving skills may be the missing piece to leveraging the performance of your business, achieving Lean success, or unlocking your professional potential. 

Ask any colleague if they’re an effective problem-solver and their likely answer will be, “Of course! I solve problems every day.” 

Problem solving is part of most job descriptions, sure. But not everyone can do it consistently. 

The Problem-Solving Process

Problem solving is the process of defining a problem, identifying its root cause, prioritizing and selecting potential solutions, and implementing the chosen solution.

There’s no one-size-fits-all problem-solving process. Often, it’s a unique methodology that aligns your short- and long-term objectives with the resources at your disposal. Nonetheless, many paradigms center problem solving as a pathway for achieving one’s goals faster and smarter. 

One example is the Six Sigma framework , which emphasizes eliminating errors and refining the customer experience, thereby improving business outcomes. Developed originally by Motorola, the Six Sigma process identifies problems from the perspective of customer satisfaction and improving product delivery. 

Lean management, a similar method, is about streamlining company processes over time so they become “leaner” while producing better outcomes. 

Trendy business management lingo aside, both of these frameworks teach us that investing in your problem solving process for personal and professional arenas will bring better productivity.

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How to Solve Problems: 5 Steps

1. precisely identify problems.

As obvious as it seems, identifying the problem is the first step in the problem-solving process. Pinpointing a problem at the beginning of the process will guide your research, collaboration, and solutions in the right direction. 

At this stage, your task is to identify the scope and substance of the problem. Ask yourself a series of questions: 

• What’s the problem? 
• How many subsets of issues are underneath this problem? 
• What subject areas, departments of work, or functions of business can best define this problem? 

Although some problems are naturally large in scope, precision is key. Write out the problems as statements in planning sheets . Should information or feedback during a later step alter the scope of your problem, revise the statements. 

Framing the problem at this stage will help you stay focused if distractions come up in later stages. Furthermore, how you frame a problem will aid your search for a solution. A strategy of building Lean success, for instance, will emphasize identifying and improving upon inefficient systems. 

2. Collect Information and Plan 

The second step is to collect information and plan the brainstorming process. This is another foundational step to road mapping your problem-solving process. Data, after all, is useful in identifying the scope and substance of your problems. 

Collecting information on the exact details of the problem, however, is done to narrow the brainstorming portion to help you evaluate the outcomes later. Don’t overwhelm yourself with unnecessary information — use the problem statements that you identified in step one as a north star in your research process. 

This stage should also include some planning. Ask yourself:

• What parties will ultimately decide a solution? 
• Whose voices and ideas should be heard in the brainstorming process? 
• What resources are at your disposal for implementing a solution? 

Establish a plan and timeline for steps 3-5. 

3. Brainstorm Solutions

Brainstorming solutions is the bread and butter of the problem-solving process. At this stage, focus on generating creative ideas. As long as the solution directly addresses the problem statements and achieves your goals, don’t immediately rule it out. 

Moreover, solutions are rarely a one-step answer and are more like a roadmap with a set of actions. As you brainstorm ideas, map out these solutions visually and include any relevant factors such as costs involved, action steps, and involved parties. 

With Lean success in mind, stay focused on solutions that minimize waste and improve the flow of business ecosystems. 

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4. Decide and Implement

The most critical stage is selecting a solution. Easier said than done. Consider the criteria that has arisen in previous steps as you decide on a solution that meets your needs. 

Once you select a course of action, implement it. 

Practicing due diligence in earlier stages of the process will ensure that your chosen course of action has been evaluated from all angles. Often, efficient implementation requires us to act correctly and successfully the first time, rather than being hurried and sloppy. Further compilations will create more problems, bringing you back to step 1. 

5. Evaluate

Exercise humility and evaluate your solution honestly. Did you achieve the results you hoped for? What would you do differently next time? 

As some experts note, formulating feedback channels into your evaluation helps solidify future success. A framework like Lean success, for example, will use certain key performance indicators (KPIs) like quality, delivery success, reducing errors, and more. Establish metrics aligned with company goals to assess your solutions.

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A Complete Guide to know What is Problem Solving (Updated October 2023)

Everything happening in this world has its problems. This is because no system in this world has 100% efficiency. But this is not a big issue for the people who are prepared to deal with any kind of problem. The field that is heavily affected by the problems in the field of companies and organizations.

This is because a lot of employees are working in different departments under the same name. The problem for one employee or one department can cause issues for others. This is why the employees are given special problem-solving training. Here we will discuss what is problem-solving and some effective steps involved.

What is problem solving?

Problem-solving isa process of solving any kind of problem. This process is acted upon in some steps. These steps start from identifying the problem and determining the cause of the problem. After the problem and its cause are identified, the next step is to select alternatives for the solution and implement the solutions.

All of these steps are collectively known as a problem-solving process.

The basic steps involved in problem-solving.

As the problem-solving process comprises different steps that collectively help in getting id of the problem. So, here we will have a detailed discussion about the steps that are involved in problem-solving.

Defining the problem.

Defining the problem means that you are diagnosing the situation. This helps take the further steps for solving the problem. This is not just as simple as defining the problem. Here you take effective measures to keep track of the situation of the problem. Some of the most effective and easy to implement ways of defining the problem are listed below.

·       Flowcharts of the process and the problem init.

·       Cause and effect diagram.

With the help of these steps, you can easily identify the root causes of the problem. However, for these ways of defining the problem, you must involve the factual information and then compare the expectations to reality. Apart from this, you also need to stay focused on the root cause of the problem as eradicating this will be your main objective here.

To create a successful deduction for problem-solving in this step, you will first need to review different sectors of your system. Then you will have to evaluate things on the base of how something will affect the system.

Generating the alternatives.

Once you have gone through the first step, the next step will be to get the solution for the problem. It is in our psyche that once we think of an idea or solution, then we keep on thinking that it will be effective. But in reality, this will not happen every time and you will waste a lot of time coming up with another effective solution.

So, here the best thing to do is to come up with more than more solutions at a time. For this, you can do the following things.

·       Take ideas from different employees.

·       Mold your original idea according to different aspects of the problem.

·       Think of other than one effective idea.

When you are going with a set of ideas for the backup, you will be very efficient in solving the problem. This is because if one idea fails, you can implement another one and this can be carried on until you have solved the problem.

Evaluating and selecting alternatives.

So, now you know that you have to come up with more than one idea, but how will you know if the ideas are effective or not. For this, you can easily evaluate the ideas that come up in your mind. This will help in filtering out only the best and the most effective ideas. Here is how this works.

·       Will this solution be able to solve the specific problem without causing other problems in the system?

·       Will all the people and stakeholders of the system accept the solution?

·       Is the solution that I have come up with possible and easy to implement?

·       Will the solution and the alternatives be in the constraints of the organization?

When you think of all the ideas and their alternatives, you will be very efficiently filtering out the ideas that do not seem to be working.

Implementing the solutions.

Now you are in the state where you have the ideas, the solutions, and the alternatives of these solutions. The only step left to get the problem solved is to implement the solution. This is also not a very simple step. Here are some things that you must include in this step to increase the efficiency of your solution.

·      Involving others.

One of the best things to do is to involve others in the implementation of your solution. This will not only reduce the stress that you will have to bear. But this will also add other innovative ideas that come in their minds. This can be very helpful in making the solution to the problem better.

·      Testing and expectations of the solution.

When you are implementing or you have implemented the solution, it is very important to keep constantly monitoring the solution and its working. For this, you can test the solutions’ working at different events. Testing the outcomes and comparing when with the expectations will also give you the idea of how well the solution is performing.

·      Feedback system.

When you have implemented the solution, the role that you will play in the future will be lower than the role of other employees. So, you must take feedback after sometime. The feedback system will tell you about the feelings of people about your solution and its working. This will also help in improving the solution.

Some important things to consider in each of the problem-solving steps.

Above in the article, we discussed the significance of each step involved in problem-solving. Here we will discuss some additional things that you must be aware of. This is because they will not only make your problem-solving experience better, but they will also make your problem-solving techniques more efficient.

Knowing your problem in a good way:

If you are thinking about what is problem solving and how important it is to define the problem. Then we will tell you here the importance of defining the problem and some of the best ways to implement it. It is a must for solving any problem that you must know the real cause and the root of the problem.

This is because the smaller problems can be identified and solved easily. But when we are dealing with the problems on the level of different organizations, then it is very important to get rid of the problem from the start. This is because if the problem is not fully identified, then it will never be truly eradicated.

And this will keep on damaging the company in several ways. For the problem identifying methods we mentioned above, the initiative for any of the methods can be taken for different tools. Some of the tools are the 5 W’s, the root cause analysis, and appreciation. This is also very important that you consider each of them carefully from different perspectives.

This is because the cause of the problem could be an unreasonable workload or lack of training but if unidentified, this can be extremely bad.

Knowing about the complexity of the problem.

While you are solving any problem, you must understand that every problem will not have the same scope and the time required for every problem will be different. This is because the complexity of each problem is different. There are a lot of tools and methods to know about the complexity of the problem. Some of them are listed below.

·       Affinity diagrams.

·       Swim Lane diagram.

·       System diagram.

·       Flow charts.

·       Bottleneck method.

After identifying different factors of the problem, you can implement any of these tools and this will tell you about the complexity of the problem. Sometimes a problem that seems to be a single problem is a collection of different smaller problems.

This is the point where the drill-down technique can be very helpful. It will easily and efficiently breakdown the problem into smaller parts.

Process of solving the problem.

So, there can be a case that the problem is very small, and it can easily be dealt with. But inmost of the cases, the problem is not that simple, and it is a collection of several complex problems related to different departments.

In this case, the head of the problem-solving team must take different members from different departments that will help in solving that problem using the tools, tricks methods, and tips we mentioned above.

With the increasing complexities in different organizations, many people are asking what is problem solving. If you are also uncertain about what is problem solving, then this will be the article that will tell you all about what is problem solving.

This is because it will not only tell you about some of the most effective techniques for solving different problems, but the tips, tools, and methods we mentioned here can also be very helpful for everyone in dealing with complex problems.

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problem-solving

Definition of problem-solving

Examples of problem-solving in a sentence.

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“Problem-solving.” Merriam-Webster.com Dictionary , Merriam-Webster, https://www.merriam-webster.com/dictionary/problem-solving. Accessed 16 Nov. 2023.

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navel-gazing

the activity of spending too much time considering your own thoughts, feelings, or problems

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• Memberships
• Problem Solving

Problem solving is the process of a problem analysis and resolving it in the best way possible for that situation. This process contains analysing the problem ( root cause analysis ), defining countermeasures for the problem and implementing the right solution for that situation.

For problem solving, people need critical thinking and analytical skills . Everybody within a organization or company can benefit from having good skills because there are always problems.

There have been lots of scientific and practical studies from a learning point of view. Some of the techniques developed and used in artificial intelligence (AI), computer science, engineering, mathematics, or medicine are related to mental techniques studied in psychology.

What are the most known and used models and methods? What are their success stories and practical tips when you apply these? These posts are all about great tools and methods that can help you to achieve your goal or understand certain aspects that come with problem solving .

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October 30th, 2023

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Problem Solving Skills for the Digital Age

Lucid Content Team

Reading time: about 7 min

Let’s face it: Things don’t always go according to plan. Systems fail, wires get crossed, projects fall apart.

Problems are an inevitable part of life and work. They’re also an opportunity to think critically and find solutions. But knowing how to get to the root of unexpected situations or challenges can mean the difference between moving forward and spinning your wheels.

Here, we’ll break down the key elements of problem solving, some effective problem solving approaches, and a few effective tools to help you arrive at solutions more quickly.

So, what is problem solving?

Broadly defined, problem solving is the process of finding solutions to difficult or complex issues. But you already knew that. Understanding problem solving frameworks, however, requires a deeper dive.

Think about a recent problem you faced. Maybe it was an interpersonal issue. Or it could have been a major creative challenge you needed to solve for a client at work. How did you feel as you approached the issue? Stressed? Confused? Optimistic? Most importantly, which problem solving techniques did you use to tackle the situation head-on? How did you organize thoughts to arrive at the best possible solution?

Solve your problem-solving problem  

Here’s the good news: Good problem solving skills can be learned. By its nature, problem solving doesn’t adhere to a clear set of do’s and don’ts—it requires flexibility, communication, and adaptation. However, most problems you face, at work or in life, can be tackled using four basic steps.

First, you must define the problem . This step sounds obvious, but often, you can notice that something is amiss in a project or process without really knowing where the core problem lies. The most challenging part of the problem solving process is uncovering where the problem originated.

Second, you work to generate alternatives to address the problem directly. This should be a collaborative process to ensure you’re considering every angle of the issue.

Third, you evaluate and test potential solutions to your problem. This step helps you fully understand the complexity of the issue and arrive at the best possible solution.

Finally, fourth, you select and implement the solution that best addresses the problem.

Following this basic four-step process will help you approach every problem you encounter with the same rigorous critical and strategic thinking process, recognize commonalities in new problems, and avoid repeating past mistakes.

In addition to these basic problem solving skills, there are several best practices that you should incorporate. These problem solving approaches can help you think more critically and creatively about any problem:

You may not feel like you have the right expertise to resolve a specific problem. Don’t let that stop you from tackling it. The best problem solvers become students of the problem at hand. Even if you don’t have particular expertise on a topic, your unique experience and perspective can lend itself to creative solutions.

Challenge the status quo

Standard problem solving methodologies and problem solving frameworks are a good starting point. But don’t be afraid to challenge assumptions and push boundaries. Good problem solvers find ways to apply existing best practices into innovative problem solving approaches.

Think broadly about and visualize the issue

Sometimes it’s hard to see a problem, even if it’s right in front of you. Clear answers could be buried in rows of spreadsheet data or lost in miscommunication. Use visualization as a problem solving tool to break down problems to their core elements. Visuals can help you see bottlenecks in the context of the whole process and more clearly organize your thoughts as you define the problem.  

Hypothesize, test, and try again

It might be cliche, but there’s truth in the old adage that 99% of inspiration is perspiration. The best problem solvers ask why, test, fail, and ask why again. Whether it takes one or 1,000 iterations to solve a problem, the important part—and the part that everyone remembers—is the solution.

Consider other viewpoints

Today’s problems are more complex, more difficult to solve, and they often involve multiple disciplines. They require group expertise and knowledge. Being open to others’ expertise increases your ability to be a great problem solver. Great solutions come from integrating your ideas with those of others to find a better solution. Excellent problem solvers build networks and know how to collaborate with other people and teams. They are skilled in bringing people together and sharing knowledge and information.

4 effective problem solving tools

As you work through the problem solving steps, try these tools to better define the issue and find the appropriate solution.

Root cause analysis

Similar to pulling weeds from your garden, if you don’t get to the root of the problem, it’s bound to come back. A root cause analysis helps you figure out the root cause behind any disruption or problem, so you can take steps to correct the problem from recurring. The root cause analysis process involves defining the problem, collecting data, and identifying causal factors to pinpoint root causes and arrive at a solution.

Less structured than other more traditional problem solving methods, the 5 Whys is simply what it sounds like: asking why over and over to get to the root of an obstacle or setback. This technique encourages an open dialogue that can trigger new ideas about a problem, whether done individually or with a group. Each why piggybacks off the answer to the previous why. Get started with the template below—both flowcharts and fishbone diagrams can also help you track your answers to the 5 Whys.

Brainstorming

A meeting of the minds, a brain dump, a mind meld, a jam session. Whatever you call it, collaborative brainstorming can help surface previously unseen issues, root causes, and alternative solutions. Create and share a mind map with your team members to fuel your brainstorming session.

Gap analysis

Sometimes you don’t know where the problem is until you determine where it isn’t. Gap filling helps you analyze inadequacies that are preventing you from reaching an optimized state or end goal. For example, a content gap analysis can help a content marketer determine where holes exist in messaging or the customer experience. Gap analysis is especially helpful when it comes to problem solving because it requires you to find workable solutions. A SWOT analysis chart that looks at a problem through the lens of strengths, opportunities, opportunities, and threats can be a helpful problem solving framework as you start your analysis.

A better way to problem solve

Beyond these practical tips and tools, there are myriad methodical and creative approaches to move a project forward or resolve a conflict. The right approach will depend on the scope of the issue and your desired outcome.

Depending on the problem, Lucidchart offers several templates and diagrams that could help you identify the cause of the issue and map out a plan to resolve it.  Learn more about how Lucidchart can help you take control of your problem solving process .

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Root cause analysis refers to any problem-solving method used to trace an issue back to its origin. Learn how to complete a root cause analysis—we've even included templates to get you started.

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Encyclopedia of the Sciences of Learning pp 2680–2683 Cite as

Problem Solving

• David H. Jonassen 2 &
• Woei Hung 3  
• Reference work entry

1708 Accesses

10 Citations

Cognition ; Problem typology ; Problem-based learning ; Problems ; Reasoning

Problem solving is the process of constructing and applying mental representations of problems to finding solutions to those problems that are encountered in nearly every context.

Theoretical Background

Problem solving is the process of articulating solutions to problems. Problems have two critical attributes. First, a problem is an unknown in some context. That is, there is a situation in which there is something that is unknown (the difference between a goal state and a current state). Those situations vary from algorithmic math problems to vexing and complex social problems, such as violence in society (see Problem Typology ). Second, finding or solving for the unknown must have some social, cultural, or intellectual value. That is, someone believes that it is worth finding the unknown. If no one perceives an unknown or a need to determine an unknown, there is no perceived problem. Finding...

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Jonassen, D.H., Hung, W. (2012). Problem Solving. In: Seel, N.M. (eds) Encyclopedia of the Sciences of Learning. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1428-6_208

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Article • 7 min read

What Is Problem Solving?

By the Mind Tools Content Team

We all spend a lot of our time solving problems, both at work and in our personal lives.

Some problems are small, and we can quickly sort them out ourselves. But others are complex challenges that take collaboration, creativity, and a considerable amount of effort to solve.

At work, the types of problems we face depend largely on the organizations we're in and the jobs we do. A manager in a cleaning company, for example, might spend their day untangling staffing issues, resolving client complaints, and sorting out problems with equipment and supplies. An aircraft designer, on the other hand, might be grappling with a problem about aerodynamics, or trying to work out why a new safety feature isn't working. Meanwhile, a politician might be exploring solutions to racial injustice or climate change.

But whatever issues we face, there are some common ways to tackle them effectively. And we can all boost our confidence and ability to succeed by building a strong set of problem-solving skills.

Mind Tools offers a large collection of resources to help you do just that!

How Well Do You Solve Problems?

Start by taking an honest look at your existing skills. What's your current approach to solving problems, and how well is it working? Our quiz, How Good Is Your Problem Solving? lets you analyze your abilities, and signposts ways to address any areas of weakness.

Define Every Problem

The first step in solving a problem is understanding what that problem actually is. You need to be sure that you're dealing with the real problem – not its symptoms. For example, if performance in your department is substandard, you might think that the problem lies with the individuals submitting work. However, if you look a bit deeper, the real issue might be a general lack of training, or an unreasonable workload across the team.

Tools like 5 Whys , Appreciation and Root Cause Analysis get you asking the right questions, and help you to work through the layers of a problem to uncover what's really going on.

However, defining a problem doesn't mean deciding how to solve it straightaway. It's important to look at the issue from a variety of perspectives. If you commit yourself too early, you can end up with a short-sighted solution. The CATWOE checklist provides a powerful reminder to look at many elements that may contribute to the problem, keeping you open to a variety of possible solutions.

Understanding Complexity

As you define your problem, you'll often discover just how complicated it is. There are likely several interrelated issues involved. That's why it's important to have ways to visualize, simplify and make sense of this tangled mess!

Affinity Diagrams are great for organizing many different pieces of information into common themes, and for understanding the relationships between them.

Another popular tool is the Cause-and-Effect Diagram . To generate viable solutions, you need a solid understanding of what's causing the problem.

When your problem occurs within a business process, creating a Flow Chart , Swim Lane Diagram or a Systems Diagram will help you to see how various activities and inputs fit together. This may well highlight a missing element or bottleneck that's causing your problem.

Quite often, what seems to be a single problem turns out to be a whole series of problems. The Drill Down technique prompts you to split your problem into smaller, more manageable parts.

General Problem-Solving Tools

When you understand the problem in front of you, you’re ready to start solving it. With your definition to guide you, you can generate several possible solutions, choose the best one, then put it into action. That's the four-step approach at the heart of good problem solving.

There are various problem-solving styles to use. For example:

• Constructive Controversy is a way of widening perspectives and energizing discussions.
• Inductive Reasoning makes the most of people’s experiences and know-how, and can speed up solution finding.
• Means-End Analysis can bring extra clarity to your thinking, and kick-start the process of implementing solutions.

Specific Problem-Solving Systems

Some particularly complicated or important problems call for a more comprehensive process. Again, Mind Tools has a range of approaches to try, including:

• Simplex , which involves an eight-stage process: problem finding, fact finding, defining the problem, idea finding, selecting and evaluating, planning, selling the idea, and acting. These steps build upon the basic, four-step process described above, and they create a cycle of problem finding and solving that will continually improve your organization.
• Appreciative Inquiry , which is a uniquely positive way of solving problems by examining what's working well in the areas surrounding them.
• Soft Systems Methodology , which takes you through four stages to uncover more details about what's creating your problem, and then define actions that will improve the situation.

Further Problem-Solving Strategies

Good problem solving requires a number of other skills – all of which are covered by Mind Tools.

For example, we have a large section of resources to improve your Creativity , so that you come up with a range of possible solutions.

By strengthening your Decision Making , you'll be better at evaluating the options, selecting the best ones, then choosing how to implement them.

And our Project Management collection has valuable advice for strengthening the whole problem-solving process. The resources there will help you to make effective changes – and then keep them working long term.

Problems are an inescapable part of life, both in and out of work. So we can all benefit from having strong problem-solving skills.

It's important to understand your current approach to problem solving, and to know where and how to improve.

Define every problem you encounter – and understand its complexity, rather than trying to solve it too soon.

There's a range of general problem-solving approaches, helping you to generate possible answers, choose the best ones, and then implement your solution.

Some complicated or serious problems require more specific problem-solving systems, especially when they relate to business processes.

By boosting your creativity, decision-making and project-management skills, you’ll become even better at solving all the problems you face.

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