Teaching math vocabulary in ULS

Why math vocabulary matters

Strong mathematical understanding relies on more than numbers. Students also need to understand and use the language of mathematics to explain their thinking, solve problems and communicate ideas.

When selecting vocabulary to teach, focus on age-appropriate words that directly support the lesson objective and targeted skill. Prioritising key mathematical terms helps students build both comprehension and communication skills.

Step 1: Choose meaningful vocabulary

Before teaching a lesson, identify the most important vocabulary students will need to understand and use.

Consider:

Which words are essential for understanding the lesson?
Which words are likely to appear again in future learning?
Which words will help students explain their mathematical thinking?

Focus on quality over quantity. A small number of carefully selected words is often more effective than introducing too many terms at once.

Step 2: Introduce vocabulary explicitly

Vocabulary instruction should be purposeful and deliberate.

When introducing a new word:

Say the word aloud
Explain its meaning using student-friendly language
Connect the word to the lesson objective
Provide examples and non-examples
Use visuals whenever possible

Explicit instruction helps students make meaningful connections between mathematical language and mathematical concepts.

Step 3: Use visual supports

Visual vocabulary strategies help students organize and retain new information.

Frayer Model

The Frayer Model is an effective way to explore new mathematical vocabulary by helping students identify:

Definition
Characteristics
Examples
Non-examples

This structure supports students at a wide range of ability levels and encourages deeper understanding of mathematical concepts.

Step 4: Model mathematical language

Teacher modelling provides students with examples of how mathematical vocabulary is used in context.

As you teach:

Think aloud while solving problems
Use target vocabulary repeatedly
Demonstrate how the word connects to the lesson objective
Show students how mathematicians use precise language to explain their reasoning

Hearing and seeing vocabulary used correctly helps students develop confidence using the terms themselves.

Step 5: Use gradual release

The Gradual Release of Responsibility model provides structured opportunities for students to practice new vocabulary.

I do

The teacher models the vocabulary and demonstrates how it is used.

We do

Students practice using the vocabulary with support, feedback and discussion.

You do

Students independently apply the vocabulary during mathematical tasks and problem solving.

This process helps students move from supported practice to independent use.

Step 6: Reinforce and extend learning

Students need multiple opportunities to encounter and use new vocabulary.