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Maths Mindset

Maths for visual learners

Use diagrams, arrays, bar models, number lines and colour coding.

Quick answer

Maths for visual learners means using pictures, diagrams, and colours to understand and solve maths problems. This helps children see maths more clearly and makes it easier to remember.

Learning outcome

By the end of this page, you will understand how to use visual tools like bar models, arrays, and number lines to solve maths problems more easily. Success signs:
  • You can draw a picture to show a maths problem
  • You can use colours to group numbers or parts of a problem
  • You can solve a problem using a bar model or array
  • You can explain your thinking using words and pictures

Why this matters

Visual learners think best when they can see what they are working with. When we use pictures, charts, and diagrams in maths, it helps us understand numbers, shapes, and how they work together. This makes maths less scary and more fun. It also helps children remember what they learn, especially when they are solving problems or learning new ideas. Visual thinking is used in many jobs, like building, designing, cooking, and even playing games. If you can see how things fit together, you are already using visual maths thinking!

How it works

Visual maths means using your eyes to help your brain understand numbers. Here are the main ways to use visuals in maths:
  1. Draw pictures or models – For example, if you have 3 apples and 2 oranges, draw 3 apples and 2 oranges to see the total.
  2. Use arrays – Arrange objects in rows and columns to show multiplication. For example, 3 rows of 4 stars.
  3. Use bar models – Draw bars to show how numbers relate to each other. For example, if you have 10 sweets and eat 3, draw a bar for 10 and a part for 3.
  4. Use number lines – Draw a line with numbers to help with counting, adding, or subtracting.
  5. Use colour coding – Use different colours for different parts of a problem to make it clearer.

Examples you can see

Let’s look at some examples that use visual thinking. Example 1: Adding with a number line Imagine you are at 5 on a number line and you jump forward 3 spaces. You land on 8. This shows 5 + 3 = 8. Example 2: Arrays for multiplication If you have 4 rows of 3 toys, you can draw a grid with 4 rows and 3 columns. Counting all the toys gives you 12. This shows 4 × 3 = 12. Example 3: Bar models for subtraction If you have 10 stickers and give away 4, you can draw a bar for 10 and cross out 4 parts. You can see that 6 are left. This shows 10 – 4 = 6. Example 4: Colour coding in word problems If a problem says “Tom has 5 red balls and 3 blue balls,” you can draw 5 red circles and 3 blue circles. This helps you see how many balls there are in total.

Try it as a mini adventure

Adventure: The Magic Maths Garden You are a gardener in a magical garden where numbers grow like flowers. Each flower has a number on it. Your mission is to solve problems by using visual tools. Step 1: You see 3 rows of 5 flowers. Draw an array to show this. Step 2: You have 12 carrots and eat 4. Use a bar model to show how many are left. Step 3: You start at 7 on a number line and jump back 3. Where do you land? Step 4: You have 6 blue stars and 9 red stars. Use colour coding to show how many stars you have in total. Step 5: Draw a picture of a problem you can solve using your visual tools.

Common mistakes

  • Mistake: Thinking that a bar model must be a rectangle.
    Why it happens: Children might think the shape must be perfect.
    Fix: A bar model can be any shape that shows the relationship between numbers, even if it’s a wiggly line or a stick figure.
  • Mistake: Drawing too many details in a picture.
    Why it happens: Children want to make their picture look pretty.
    Fix: Keep the picture simple and clear. Focus on showing the maths, not the art.
  • Mistake: Not using colour coding.
    Why it happens: Children don’t know that colour helps them see the parts of a problem.
    Fix: Use different colours for different groups or steps in a problem.
  • Mistake: Confusing arrays with number lines.
    Why it happens: Both are visual tools, but they show different things.
    Fix: Arrays show multiplication in rows and columns. Number lines show counting and operations on a line.

Parent and carer guide

As a parent or carer, you can help your child use visual thinking in maths by:
  • Encouraging them to draw pictures when solving problems
  • Using everyday objects like blocks, toys, or food to show maths
  • Letting them use crayons or markers to colour-code problems
  • Playing games that involve counting or matching
  • Reading maths books that use pictures and stories
  • Practising with bar models and number lines at home
If your child gets stuck, ask questions like:
  • “Can you draw what you are thinking?”
  • “What colour can you use to show the parts of the problem?”
  • “Can you count on your fingers or use objects to help?”
Remember: Visual thinking is a skill that gets better with practice. Don’t worry if your child needs time to get used to it.

Practice questions

  1. Draw an array to show 4 × 3.
  2. Use a number line to solve 6 + 5.
  3. Draw a bar model to show 9 – 4.
  4. Use colour to show 7 red apples and 5 green apples. How many apples are there?
  5. Draw a picture to solve: 3 + 4 = ?
Answers:
  1. Draw 4 rows with 3 stars in each row.
  2. Start at 6, jump forward 5 spaces to land on 11.
  3. Draw a bar for 9, then cross out 4 parts. 5 is left.
  4. Draw 7 red circles and 5 green circles. Total is 12.
  5. Draw 3 circles and 4 circles. Count all 7.

FAQ

What is visual maths?

Visual maths means using pictures, charts, and diagrams to understand numbers and solve problems. It helps children see what they are working with.

Why do visual learners find maths easier?

Visual learners understand better when they can see what they are working with. Pictures and diagrams help them connect numbers to real-life situations.

Can I use visual tools for all maths topics?

Yes! Visual tools can help with addition, subtraction, multiplication, division, fractions, and even word problems. They make maths more understandable.

Do I need to be good at drawing to use visual maths?

No! You just need to be able to make simple pictures or use shapes. The focus is on understanding, not on art.

How can I help my child at home with visual maths?

You can help by encouraging them to draw, use objects, and colour-code problems. Ask them to explain their thinking using pictures and words.