How can we help pupils understand mathematical symbols?

Ask what the whole mathematical statement says

Build each side with counters and ask how the pupil knows the values match. Avoid teaching the equals sign only as a signal to write the next answer.

Connect the practical model to spoken language and symbols, then check a fresh arrangement without the counters if appropriate. Record the explanation as well as the answer. Comparing greater and smaller amounts can help when relation symbols are confused with operation signs.

A pupil may carry out a practical calculation but become confused when it is written using symbols. Signs can be visually similar, and some express a relationship rather than an instruction. Teaching should connect spoken language, concrete examples and notation so pupils know what a statement says.

Investigate the misunderstanding

Ask the pupil to read a simple number sentence aloud and demonstrate it with objects. Check whether the difficulty concerns recognising the sign, understanding the operation or completing the calculation. Use a manageable calculation so weak number facts do not mask knowledge of the symbol.

Pay particular attention to equals. It means that both sides have the same value, not “write the answer next”. Include statements such as 8 = 5 + 3 and missing-number examples such as 4 + 3 = 5 + __. Discuss why they are true using quantities or a balance representation.

Teach contrasts explicitly

Introduce one distinction at a time. Compare addition and subtraction through situations and models before asking pupils to identify the signs in a mixed worksheet. For greater than and less than, read the complete statement in words and locate the quantities on a number line. A memory aid should support this meaning, not replace it.

Keep examples visually clear, with sufficient spacing and consistent notation. Model how the same relationship can be expressed in another way. For instance, 7 > 3 and 3 < 7 say compatible things despite the symbol’s changed direction.

A classroom example

A Year 4 pupil completes 6 + 2 = 8 but writes 8 after the equals sign in 6 + 2 = __ + 3. The teacher builds both sides with counters, explains equal value and asks what must join three counters to match eight. The pupil then tries a new balanced statement.

Review meaning as well as answers

Ask pupils to explain a symbol, select a true statement and correct a false one. Include unfamiliar layouts and small numbers. If they can solve routine calculations but not explain the notation, provide more relational examples. Avoid assuming that repeated pages of the same format establish flexible understanding.