What helps a pupil understand greater than and less than?

Compare quantities before teaching the signs

Then connect the amounts to written numbers and the words greater than, less than and equal. Avoid introducing a visual memory trick before the comparison makes sense.

Teach the relation sign in both directions and ask the pupil to read the whole statement aloud or explain it another way. Check a fresh pair of numbers. Understanding mathematical symbols can help staff connect notation with meaning rather than a memorised direction alone.

Start by understanding the barrier

Mathematical attainment depends on connected conceptual knowledge, fluent procedures, mathematical language and the ability to reason about relationships. A pupil who struggles with one task may therefore need a different response from a pupil who produces the same wrong answer for a different reason.

Comparing actual quantities and using number lines can establish magnitude before pupils are expected to rely on abstract inequality symbols. Avoid assuming that one visible difficulty has a single cause. Look at when the problem occurs, what changes when the task is simplified or supported, and what the pupil can do under less demanding conditions. This helps staff target teaching rather than adding generic support.

What to try in school

A useful starting point is to move deliberately between concrete materials, visual representations, mathematical language and symbols. Keep the support tightly linked to the learning goal. Model the process explicitly, think aloud so that the hidden steps are visible, then give the pupil a supported attempt before expecting independent use.

Try this: Choose one upcoming lesson and identify the precise point at which the pupil is likely to get stuck. Teach or display one strategy for that point, then record what happens to independence and accuracy.

A worked example

Staff choose a small set of examples that vary one feature at a time. The adult first demonstrates the thinking process, then completes a second example jointly with the pupil. The pupil attempts a third example with the prompt available but without continuous adult direction.

Staff record whether the pupil can explain the underlying relationship and apply it to a new example. They also note the number of adult prompts and whether the pupil can explain what they did. This provides more useful information than a broad judgement that the pupil “seemed better” and makes the next review easier.

Build independence and transfer

Involve the SENCo when helps a pupil understand greater than and less than is persistent, severe, worsening, affecting attendance or safety, or remains unclear after appropriate classroom teaching and adjustments. Further professional advice is most useful when school can state the unanswered question and explain how the answer would change provision.

What does the evidence tell us?

Evidence-informed mathematics guidance emphasises careful use of representations, explicit teaching, mathematical talk, worked examples and responsive assessment. Practice is valuable, but it should strengthen understanding and fluency rather than substitute for understanding.