How can I help a pupil understand the relationship between multiplication and division?

Identify the precise mathematical barrier

How can I help a pupil understand the relationship between multiplication and division? Look beyond a general statement that a pupil is “poor at maths”. Check whether the difficulty concerns quantity, number facts, place value, mathematical language, symbols, procedures, reasoning or recording.

Make the mathematics visible

Use concrete materials, diagrams, number lines, arrays and worked examples where they clarify the underlying structure. Always connect the representation to spoken mathematical language and written notation so that resources support understanding rather than become a separate activity.

Teach in small connected steps

Model one step clearly, practise it with support and then vary examples carefully. Revisit prerequisite knowledge when necessary and make links between new learning and familiar number relationships explicit.

Reduce unnecessary load

Keep worksheets visually manageable, limit copying and present enough questions to establish learning without overwhelming the pupil. Where the objective is mathematical reasoning, do not let handwriting or reading demands obscure what the pupil understands.

Check understanding, not just completion

Ask the pupil to explain or demonstrate how they know. Record errors and strategies as well as scores. A pattern across several lessons is more informative than one difficult piece of work.