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manipulatives

Maths journals

Encourage children to record strategies, diagrams and reflections.

Quick answer

Manipulatives are physical objects you can touch and move to help you learn maths. Maths journals are notebooks where you can write, draw, and explain your maths thinking using these hands-on tools.

Learning outcome

By the end of this page, you will understand how to use manipulatives in your maths journal to record your thinking, strategies, and discoveries when solving maths problems.

Why this matters

Using manipulatives in your maths journal helps you:
  • Remember how you solved a problem
  • Share your thinking with others
  • See patterns and connections in maths
  • Build stronger maths understanding
When you write and draw about your maths work, it helps your brain remember better. It's like having a treasure map that shows you how you found the answer.

How it works

Here's how to use manipulatives in your maths journal:
  1. Choose your manipulatives - These can be counters, blocks, shapes, or anything you can touch and move
  2. Solve a maths problem - Use your manipulatives to find the answer
  3. Draw or write about what you did - Show how you used your objects
  4. Record your thinking - Explain your strategy and what you learned

Examples you can see

Let's look at how you can use manipulatives in your maths journal with a simple example. Problem: You have 8 apples and you eat 3 apples. How many apples do you have left? Step 1: Use 8 counters or small objects to represent the apples. Step 2: Take away 3 counters to show eating them. Step 3: Count how many are left - that's your answer! Step 4: In your journal, draw 8 apples and cross out 3 of them. Write "8 - 3 = 5". Step 5: Write a sentence like "I had 8 apples, ate 3, so I have 5 left." Here's another example with multiplication: Problem: You have 4 boxes. Each box has 3 toys. How many toys are there altogether? Step 1: Use 4 groups of 3 objects each. Step 2: Count all the objects to find the total. Step 3: Draw 4 groups with 3 objects in each group. Step 4: Write "4 × 3 = 12" and explain your thinking.

Try it as a mini adventure

The Great Maths Treasure Hunt You are a maths explorer looking for treasure in your house! Here's your mission: 1st time: Find 3 different manipulatives (like buttons, pasta pieces, or blocks) and count how many of each you have. 2nd time: Use these objects to solve a simple problem: "I have 5 buttons and find 4 more. How many do I have now?" 3rd time: Draw a picture of your buttons and write the maths sentence. 4th time: Write one sentence about how you solved the problem. 5th time: Find another maths problem to solve using your manipulatives and journal it. 6th time: Show your journal to a grown-up and explain what you did!

Common mistakes

  • Mistake: Thinking you don't need to write anything down. Why it happens: You might feel like your brain knows the answer already. Fix: Even if you know the answer, writing it down helps you remember how you got there.
  • Mistake: Drawing messy pictures that don't help you. Why it happens: You might be in a hurry or not know how to show your thinking clearly. Fix: Draw simple pictures that show what you did with your objects.
  • Mistake: Not using your manipulatives at all. Why it happens: You might think it's easier to do maths in your head. Fix: Manipulatives help you see and understand problems better.
  • Mistake: Writing only numbers without explaining what they mean. Why it happens: You might be copying what you see instead of thinking about what you did. Fix: Always write a sentence that explains your maths thinking.

Parent and carer guide

How to help your child with maths journals:
  • Give a quiet space - Set up a special corner with paper, pens, and manipulatives
  • Ask questions - "How did you solve that?" or "Can you show me with your objects?"
  • Encourage drawing - Even if it's not perfect, it shows thinking
  • Notice patterns - Help your child see connections between problems
  • Keep it fun - Make it a regular activity, not a chore
What to say:
  • "I like how you showed your thinking with the blocks"
  • "Can you explain that to me?"
  • "What did you learn from using your manipulatives?"
What not to worry about:
  • Your child's drawings don't have to be perfect
  • They might make mistakes - that's how they learn
  • They might not understand everything right away

Practice questions

  1. Use 6 counters to solve: 6 + 2 = ?
    • Answer: 8
  2. Draw 3 groups of 4 objects each. What multiplication problem does this show?
    • Answer: 3 × 4 = 12
  3. You have 10 cubes and take away 5. How many are left?
    • Answer: 5
  4. Use manipulatives to solve: 5 × 2 = ?
    • Answer: 10
  5. Draw a picture showing 7 + 3 = 10 using your own objects.
    • Answer: 7 + 3 = 10

FAQ

What are manipulatives?

Manipulatives are physical objects you can touch, move, and use to help you learn maths. Examples include blocks, counters, shapes, or even your fingers.

Why should I use manipulatives in my maths journal?

Using manipulatives in your journal helps you remember how you solved problems and explains your thinking clearly to others.

Can I use anything as manipulatives?

Yes! You can use anything you can touch and move, like buttons, pasta, toys, or even your fingers.

How do I start using maths journals?

Start with simple problems and use your manipulatives to solve them. Then draw and write about what you did.

What if I don't understand what to write?

Start with simple sentences like "I had 5, took away 2, now I have 3." You can also draw pictures to show your thinking.