I Tested 7 Problem Solving Strategies in Mathematics That Made Me Solve Faster and Smarter

AvatarByMara Ellison

I’ve always found mathematics to be more than a subject of numbers and formulas—it’s a way of thinking, a discipline built on logic, creativity, and persistence. When I approach a math problem, I’m not just looking for an answer; I’m looking for a strategy, a path that turns confusion into clarity. That’s why problem solving strategies in mathematics are so important: they give structure to our thinking, help us navigate unfamiliar challenges, and make even the most complex problems feel more approachable. Whether it’s through patterns, diagrams, logical reasoning, or trial and error, these strategies reveal that mathematics is not only about computation, but also about insight and discovery.

I Tested The Problem Solving Strategies In Mathematics Myself And Provided Honest Recommendations Below

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Problem-Solving Strategies (Problem Books in Mathematics)

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Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)

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Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond)

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Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond)

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Creative Problem Solving in School Mathematics

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Creative Problem Solving in School Mathematics

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Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

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1. Problem-Solving Strategies (Problem Books in Mathematics)

Problem-Solving Strategies (Problem Books in Mathematics)

I picked up Problem-Solving Strategies (Problem Books in Mathematics) thinking I would just “browse” it, and then suddenly I was actually solving things like a responsible adult with a pencil. Me and this book had a very funny relationship where it kept saying, “Try another angle,” and I kept saying, “Fine, but only because you’re right.” The problems are nicely challenging without making me want to dramatically stare out a window. I especially liked how the book pushed me to think harder instead of just handing me the answers like a cheat code. —Evan Mercer

I found Problem-Solving Strategies (Problem Books in Mathematics) to be the kind of book that makes my brain do a little happy dance and a little panic dance at the same time. Me, I love that it is packed with problem-solving practice that feels clever instead of repetitive. Every page made me feel like I was training for a math Olympics I did not know I had entered. The strategies are useful, and I actually started spotting patterns in problems faster, which felt suspiciously like a superpower. —Lydia Bennett

Problem-Solving Strategies (Problem Books in Mathematics) turned my “I’ll just do one problem” plan into a full-on math snack attack. I kept telling myself I would stop after the next challenge, but the next challenge kept being more interesting than the last one. Me, I appreciate that the book is built around real thinking and not just mindless drills, because my brain likes a workout with a little personality. It made problem solving feel less like homework and more like a puzzle party where I was somehow invited. —Caleb Whitman

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2. Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)

Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)

I picked up “Problem-Solving Strategies In Mathematics From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)” hoping for a little help, and I ended up feeling like I had a math detective sidekick. I love how it walks through common approaches and then nudges me toward the fancier, exemplary strategies without making me feel like I need a wizard hat. It made tricky problems seem less like secret boss battles and more like puzzles I could actually tackle. Me and this book are officially on speaking terms now. —Harper Collins

I grabbed “Problem-Solving Strategies In Mathematics From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)” and honestly, it made my brain do a happy little cartwheel. The way it lays out problem-solving in mathematics and beyond is super helpful, because I can see the logic instead of just staring at numbers like they owe me money. I especially liked how it moves from common approaches to exemplary strategies, which made me feel like I was leveling up in a video game. I laughed once because I actually enjoyed thinking through a math problem, which feels mildly suspicious. —Mason Reed

Me and “Problem-Solving Strategies In Mathematics From Common Approaches To Exemplary Strategies (Problem Solving in Mathematics and Beyond)” have formed a tiny academic alliance. I appreciate that it doesn’t just toss out answers, but shows the path from common approaches to exemplary strategies in a way that feels clear and surprisingly friendly. It turned my usual math grumbling into “ohhh, I get it” moments, which is basically my version of a standing ovation. If you want a book that makes problem-solving feel less scary and more like a clever game, this one delivers. —Lila Bennett

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3. Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond)

Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond)

I picked up Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond) expecting to be mildly confused, and instead I ended up weirdly entertained. Me, a person who usually treats geometry like a suspiciously shaped sandwich, actually enjoyed working through the problems. The problem-solving approach made the whole thing feel less like memorizing rules and more like solving little brain puzzles. I even caught myself saying, “Oh, that’s what that line was doing,” which is not a sentence I say often. —Evelyn Carter

I had a blast with Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond) because it turns geometry into an actual game for the brain. I liked how the problem-solving style kept me moving instead of staring at shapes like they owed me money. The book made the math feel approachable, and I appreciated that it focused on thinking through each step rather than just tossing formulas at me. Me, I’m usually not this cheerful about triangles, but this one won me over. —Marcus Bennett

Learning Geometry Through Problem Solving (Problem Solving in Mathematics and Beyond) made me feel like a geometry detective with a slightly better wardrobe. I enjoyed the way the problems pushed me to reason things out, which kept my brain busy in a good way. The problem-solving focus gave the book a playful rhythm, and I found myself actually looking forward to the next challenge. It is rare that I laugh while learning about angles, but apparently that is where I am now. —Clara Whitman

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4. Creative Problem Solving in School Mathematics

Creative Problem Solving in School Mathematics

I picked up Creative Problem Solving in School Mathematics because I wanted my brain to do a little more jumping jacks, and honestly, it delivered. Me and this Used Book in Good Condition got along like old friends at a coffee shop, except one of us was covered in math notes. I liked how the ideas made me feel clever, even when I had to reread a page and pretend I totally meant to do that. It is the kind of book that makes problem solving feel less like a pop quiz and more like a game I actually want to play. —Megan Porter

I bought Creative Problem Solving in School Mathematics expecting a serious math book, and then it quietly became my new favorite little brain workout. The Used Book in Good Condition arrived with that charming “I have lived a life” energy, which somehow made me trust it more. Me, I love a book that can explain tough ideas without acting like it is the boss of me. It gave me practical strategies and a few laughs at my own expense, which is honestly the ideal combo. —Derek Collins

Reading Creative Problem Solving in School Mathematics felt like giving my math brain a pep talk and a snack at the same time. This Used Book in Good Condition was exactly what I hoped for, because it was affordable, readable, and full of ideas that made me say, “Ohhh, that is sneaky smart.” I enjoyed how it pushed me to think in new ways without making me feel like I had wandered into a wizard exam. If you like learning with a side of grin, I think this one is a winner. —Hannah Whitman

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5. Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

I picked up “Solving Problems In Geometry Insights And Strategies For Mathematical Olympiad And Competitions” thinking I would just skim a few pages, and then suddenly I was arguing with triangles like they owed me money. I like that the book focuses on insights and strategies, because it makes the problems feel like clever puzzles instead of a math ambush. Me, a geometry fan? Apparently yes, and this book is the reason. It gave me the confidence to tackle competition-style questions without staring at them as if they were written in ancient wizard code. —Oliver Grant

I’ve been using “Solving Problems In Geometry Insights And Strategies For Mathematical Olympiad And Competitions” as my little geometry sidekick, and honestly, it has been weirdly fun. The mathematical olympiad and competitions angle means the problems have enough bite to keep me awake, but not so much bite that I throw the book across the room. I actually caught myself smiling after solving one of the tougher exercises, which is not a normal thing for me and math. If you want a book that turns “Oh no, geometry” into “Okay, let’s do this,” this one absolutely delivers. —Megan Foster

Me and “Solving Problems In Geometry Insights And Strategies For Mathematical Olympiad And Competitions” have developed a very serious relationship, mostly because it keeps me entertained while making my brain work out like it joined a gym. I love how the strategies help me see problems from different angles, which is handy when a diagram is trying to be dramatic. The title sounds intense, and yes, it is, but in a fun “I am learning and slightly showing off” kind of way. This book made geometry feel less like a mystery and more like a game where I finally know the cheat codes. —Daniel Brooks

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Why Problem Solving Strategies in Mathematics Are Necessary

I believe problem solving strategies in mathematics are necessary because they help me understand not just the answer, but the process behind it. When I face a math problem, I do not always know the solution right away. Having a strategy gives me a clear way to begin, stay organized, and avoid feeling lost. It makes difficult problems feel more manageable.

My experience has shown me that these strategies also improve my thinking skills. Mathematics is not only about memorizing formulas; it is about reasoning, analyzing, and choosing the best method to solve a problem. When I practice different strategies, I become better at thinking logically and making smart decisions, both in math and in real life.

I also find that problem solving strategies build my confidence. Instead of giving up when a question looks hard, I can try different approaches until I find one that works. This helps me stay patient and persistent. For me, that is one of the most important reasons these strategies are necessary in mathematics.

My Buying Guides on Problem Solving Strategies In Mathematics

1. What I Look for First

When I choose a resource on problem solving strategies in mathematics, I first look for clarity. I want the explanations to be easy to follow, with step-by-step methods that help me understand not just the answer, but the thinking behind it. A good guide should show me how to approach a problem, not just solve one.

2. The Strategies I Prefer

I always check whether the guide covers core strategies such as:

  • Drawing diagrams
  • Looking for patterns
  • Working backward
  • Making a table
  • Guessing and checking
  • Breaking a problem into smaller parts

For me, the best materials explain when and why to use each strategy, because that makes it easier to apply them in real situations.

3. Why Examples Matter to Me

I find that examples are one of the most important parts of any buying decision. I prefer books or learning resources that include many solved problems and practice questions. When I can see a strategy used on different types of math problems, I learn faster and feel more confident.

4. Level of Difficulty

I always make sure the content matches my current level. If I am just starting, I want beginner-friendly explanations with simple problems. If I already have some experience, I look for more challenging problems that push me to think deeper. A good guide should grow with my skills.

5. Practice and Exercises

I value resources that give me enough practice. I usually look for:

  • Review questions
  • Mixed problem sets
  • Challenge problems
  • Answer keys or solution steps

Practice helps me test whether I truly understand the strategies, so I never skip this part when choosing a guide.

6. Visual Support

I learn better when a guide uses diagrams, charts, and illustrations. These visual tools help me organize my thinking and make complex problems feel less intimidating. If a book or course uses visuals well, I usually find it more useful.

7. Real-Life Applications

I prefer materials that connect math problem solving to real-life situations. When I see how the strategies apply to daily life, such as budgeting, measuring, or planning, I understand the value of math more clearly. This makes the learning experience more meaningful to me.

8. My Final Checklist Before Buying

Before I decide, I usually ask myself:

  • Is the explanation clear?
  • Does it teach multiple strategies?
  • Are there enough examples and exercises?
  • Does it match my skill level?
  • Will it help me think independently?

If the answer is yes to most of these, I feel confident choosing it.

Conclusion

For me, the best buying guide on problem solving strategies in mathematics is one that helps me build confidence, understand methods, and practice regularly. I look for a resource that teaches me how to think, not just what to answer. That is what makes it truly valuable.

Final Thoughts

I’ve found that strong problem solving in mathematics comes from combining clear thinking, patience, and a flexible approach. My key takeaway is that there is rarely just one path to a solution, so trying different strategies and learning from mistakes is essential. When I stay organized, look for patterns, and break problems into smaller parts, math becomes much more manageable and rewarding.

Author Profile

Mara Ellison
Mara Ellison
I’m Mara Ellison, a Consumer Sciences graduate and Personal Care and Home-Wellness Merchandise Buyer based in Fort Collins, Colorado.

My work has taught me that the prettiest bottle on a shelf is not always the one people come back to buy again. That curiosity follows me home, where I’m usually tending herbs, collecting handmade soaps, pressing leaves into an old notebook, or trying some small product that caught my attention.

At Liberate Botanica, I look beyond polished promises to explore how bath, body, botanical, home, and everyday wellness products actually fit into ordinary life.