5 Techniques to Master Mathematics Problem Solving
Mathematics often feels daunting, but with the right approach, anyone can tackle even the most complex problems. As a mathematics educator with many years of experience, I know how a few simple strategies can make a big difference. Here are five time-tested techniques to help you become a top problem solver.
1. Understand the Problem
Start by taking your time to read the whole problem. Read each sentence carefully. Be absolutely certain that you know what is being asked. Highlight the key words and phrases. Identify clearly what information is given and what you need to find. Ask yourself, what do I have to calculate, what do I have to prove?
Example:
If a question involves a triangle, ask yourself: Do I know the angles, the sides, or both? Is it a geometry proof, or is it a trigonometry calculation?
2. Start with What You Know
Sometimes, the first step is the hardest. I always start by writing down all information that is given. This might include a definition, a formula, or even a simple diagram.
Example:
Triangle ABC is isosceles, AB equals AC. This means angle ABC is equal to angle ACB. Angle ACD is equal to 70 degrees.
3. Don’t Be Afraid to Make a Mistake
It is essential for you to realise that mistakes are a natural part of learning. If your first attempt doesn’t work, don’t be dismayed. Read the question again, check each piece of information, check your calculations and try again. Every error teaches you something new.
4. Practice Makes Perfect
The more problems you work on, the better you will become. Dedicate time every day to practicing different types of problems, from algebra to calculus. If you spend 10 to 15 minutes every day on solving problems, you will soon notice a difference. Doing some mathematics every day rapidly builds skill and confidence.
5. Seek Help When Needed
Sometimes, the best solution is to ask for help. This could be from a teacher, a tutor, a friend, or an online resource. Don’t be shy or afraid to ask someone for help.
Final Thoughts
Problem solving in mathematics is a bit like a puzzle—each step brings you closer to the solution. With patience and practice, you will soon find that mathematics becomes less of a challenge and more of an adventure.
If you’re looking for one-on-one support or personalised math lessons, feel free to contact me, or explore the video lessons here on my website.