One of the most effective ways to check understanding in maths is to ask students to explain a concept in their own words. It is not enough to simply solve a problem by following steps. True understanding shows when a student can explain why those steps work.

In my tutoring sessions, I often pause after a question and ask, “Can you explain to me what you just did?” At first, many students find this uncomfortable, but with practice they begin to use their own language to describe the process. This reveals how well they grasp the concept and highlights any gaps that need addressing.

For example, when working on fractions, a student might say, “I made the denominators the same so I could add them together.” This simple explanation shows that they understand the reasoning rather than just applying a formula. If they cannot explain it, that is a sign we need to revisit the idea more clearly.

Encouraging students to use their own words also builds confidence. They begin to see themselves not just as learners, but as people who can teach and explain. That shift is powerful, especially when exam pressure makes students doubt themselves.

When students can explain maths in plain language, they have taken the first step towards mastery.

James Valiozis