How to Study Maths the Smart Way
If your child is working hard at maths but not seeing the progress they want, or if you’re a student who feels like you’re doing all the right things but still getting stuck, you’re not alone.
Most students are taught to approach maths by memorising methods, taking notes and working through pages of textbook exercises. But if you’re aiming to truly understand maths and improve your results, there’s a better way to study.
This blog shares practical study techniques that help students not just learn maths, but understand it. Whether you’re a parent supporting your child or a student looking to get better at problem-solving, these strategies are designed to make maths more meaningful, more enjoyable and ultimately more effective.
Start With Interesting and Challenging Problems
It might sound strange, but one of the best ways to improve at maths is to look for questions that feel a bit too hard.
Standard textbook questions often focus on repetition. While they can help with fluency, they rarely develop real problem-solving skills. On the other hand, a question that makes you pause and think builds creativity, resilience and a deeper understanding of the maths involved.
If you’re a student, try finding problems that challenge you rather than just the ones you know how to do. If you’re a parent, encourage your child to explore problems that feel uncomfortable at first. These are often the ones that lead to the biggest breakthroughs.
At Mathsaurus, our courses include original problems that stretch students’ thinking in just the right way. They’re designed to be challenging, but not impossible.
Learn to Enjoy Getting Stuck
Getting stuck is not a sign that you’re failing. It’s actually part of learning.
When you hit a problem and you’re not sure what to do next, you’re in a state we call “constructive confusion.” It means you’re engaging deeply with the problem and your brain is working hard to figure it out. This kind of thinking is essential for long-term understanding.
Students who learn to embrace that stuck feeling become more confident problem solvers. They don’t panic when a question doesn’t make sense at first. Instead, they keep trying, explore different ideas and gradually work things out.
So next time you feel stuck, don’t rush to the answer. Give it some time. Talk it through. Draw a diagram. Try something else. The process is where the learning happens.
Avoid Going Straight to the Answers
It’s tempting to look up the solution when a problem feels hard. But when you do that too early, you miss the chance to figure it out for yourself.
Understanding someone else’s solution isn’t the same as solving the problem yourself. The effort you put in before checking the answer is where real understanding grows.
Make a habit of sticking with a problem for at least 15 to 20 minutes before checking a solution. Even if you don’t solve it, you’ll learn more by thinking hard than by reading through a worked example straight away.
Always Ask “Why?”
Learning maths isn’t just about knowing what to do. It’s about understanding why you’re doing it.
Why does the formula work? Why do these steps lead to the answer? Why does this method apply here but not there?
Asking “why” helps students build a solid foundation. It’s what separates surface-level knowledge from real understanding. It also helps students apply what they’ve learned in new situations, rather than just repeating steps.
Encourage your child to question the logic behind methods. If you’re a student, challenge yourself to explain a concept out loud or teach it to someone else. If you can explain it clearly, you probably understand it well.
Spend More Time Solving Problems Than Taking Notes
Many students spend hours writing notes, copying examples and highlighting rules. While this can feel productive, it often isn’t the best use of time.
A better approach is to flip the ratio. Spend about 90% of your time solving problems and only 10% summarising key ideas. Active problem-solving helps you practise thinking, applying and experimenting – exactly what you’ll need in the exam.
Instead of copying down every step, try solving problems from scratch and jotting down only what you really need to remember. At Mathsaurus, our courses are built around this approach. Lessons are designed to get students thinking and solving, not just watching or copying.
Mastery Isn’t Just Repetition
Doing 20 similar questions in a row might help you go faster, but it won’t always help you go deeper.
True mastery means being able to solve problems in different formats and contexts. It means knowing how and when to use a method – not just memorising steps. Instead of repeating the same type of question, try mixing topics, tackling unusual problems or explaining your reasoning to someone else.
Practise with purpose. If a question is easy, move on to something more challenging. If you make a mistake, take time to understand it rather than rushing ahead!
Don’t Rush Ahead – Build Strong Foundations
Some students believe the best way to get ahead in maths is to move quickly through the syllabus. But skipping over concepts before fully understanding them can cause problems later on.
Maths builds on itself. Each new topic relies on previous knowledge. If the foundations aren’t solid, things can fall apart later – especially when the questions get more difficult.
Whether you’re in Year 7 or Year 11, focus on truly understanding your current topics before moving on. At Mathsaurus, we believe that depth beats speed. Our students build confidence by mastering each concept through well-designed challenges that stretch and develop their thinking.
Study Smarter With Mathsaurus
Mathsaurus is built on the very principles shared in this blog. Our online courses don’t just teach you how to get the right answer – they help you understand why the answer works. We focus on problem-solving, deep thinking and building the kind of mathematical confidence that leads to long-term success.
Whether you’re preparing for exams, maths challenges or just want to improve, you’ll find our courses are designed to help you think like a mathematician – not just memorise like a student.