Teaching mathematical vocabulary across the curriculum

A weaker class pattern in mathematical vocabulary can prevent pupils from demonstrating understanding they are beginning to develop. They may recognise a concept in a diagram or calculation but misunderstand the term used in an explanation or question.

Teach important language alongside the mathematics it describes. A copied definition is rarely enough.

Connect four parts

For each essential term, connect:

the word;
the concept;
the symbol or notation;
a clear example and, where useful, a non-example.

For factor, show the word, connect it to multiplication, display the relevant notation and compare a correct factor with a number that is not a factor. Ask pupils to explain why.

A Frayer model is a common way to lay this out on one slide or page: a four-box grid with the definition, key features, examples and non-examples.

For command words such as estimate, compare or justify, model the action required in the current task. Do not rely on a keyword being permanently linked to one operation. Altogether can signal addition (3 red counters and 4 blue counters) or multiplication (3 bags of 4 sweets).

Plan a manageable vocabulary set

Select only the terms pupils need for the lesson or sequence. Keep them visible while the concept is being learnt and revisit them when they recur.

Where the class pattern is only slightly weaker, flag the single word that changes the task and clarify it before pupils begin. Where it is lower, explicitly teach and retrieve a small set of terms across several lessons.

Check understanding through use

Ask pupils to use the term in an explanation, label a representation or compare two examples. A correct definition copied from the board does not show that they can use the language mathematically.

For example: “Explain why 18 is a multiple of 6, using the words factor and product.” This makes the relationship between language and reasoning visible.

When some pupils need more

This is whole-class mathematical language teaching. Pupils who still cannot interpret essential terms may need personal vocabulary rehearsal or a focused check during the task.