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Maths Facts

Why mistakes help learning

Turn errors into clues for stronger understanding.

Quick answer

Mistakes are not signs of failure – they are clues that help your brain learn better. When you make a mistake, your brain works harder to figure out what went wrong and how to fix it, which makes learning stronger and more lasting.

Learning outcome

By the end of this page, you will understand that making mistakes is a normal and helpful part of learning maths, and you will know how to use mistakes to get better at solving problems. Success signs:
  • You can explain why mistakes help you learn
  • You can show how to fix a mistake you made
  • You can try a new way to solve a problem after getting it wrong
  • You feel confident trying maths problems, even if you get them wrong at first

Why this matters

When you are learning maths, mistakes happen – and that’s completely normal! In fact, the brain gets stronger when it tries to correct a mistake. This is why teachers and parents often say, “It’s okay to make mistakes.” Making mistakes helps your brain grow and understand things more deeply. Whether you are adding numbers, solving puzzles, or playing games, mistakes are your brain’s way of learning how to do better next time.

How it works

Let’s look at how mistakes help your brain learn:
  1. First, you try something – You think of a way to solve a problem.
  2. Then, you make a mistake – You get the answer wrong, or your method doesn’t work.
  3. Next, you think about what went wrong – You look at your work and figure out where you made a mistake.
  4. Finally, you try again – You use what you learned from your mistake to try a new way.
This process helps your brain form stronger connections, which makes it easier to remember and use maths in the future.

Examples you can see

Let’s look at a few examples to see how mistakes help. Example 1: Counting Imagine you are counting your toys. You count 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. But then you say, “I have 11 toys.” That’s a mistake! But when you look back and count again, you notice you missed one toy. Now you know that you have 10 toys, and you’ve learned to be more careful. Example 2: Adding You are adding 6 + 7 and you think it equals 12. That’s a mistake. When you check, you might use your fingers or count on a number line and find out that 6 + 7 = 13. That mistake helped you learn how to add 6 and 7 correctly. Example 3: Multiplication You are solving 4 × 5 and you say it’s 20. That’s correct! But then you try 4 × 6 and say it’s 25. That’s a mistake. When you check, you see that 4 × 6 = 24. You now know that 4 × 6 is 24, not 25. This helps you remember the correct answer.

Try it as a mini adventure

Adventure: The Math Detective You are a detective in a maths mystery! You have a puzzle to solve, but you’re not sure how to do it. You make a guess and get it wrong. That’s okay! Here’s how to be a great detective: 1st time: You guess that 8 + 5 = 12. That’s not right! 2nd time: You count on your fingers and find out 8 + 5 = 13. 3rd time: You write it down and say, “I made a mistake, but now I know the right answer!” Now you are a Math Detective and you can solve more puzzles!

Common mistakes

  • Mistake: Thinking that making a mistake means you are not good at maths.
    Why it happens: Some children think that getting a wrong answer means they are not smart.
    Fix: Remember that making mistakes is how your brain learns. Every mistake is a clue to help you get better.
  • Mistake: Not checking your work after making a mistake.
    Why it happens: Some children get upset when they make a mistake and don’t want to look at their work.
    Fix: Take a deep breath and look at your mistake. Ask, “What went wrong?” Then try again.
  • Mistake: Trying to hide or forget about mistakes.
    Why it happens: Some children think they should never make mistakes, so they pretend they didn’t happen.
    Fix: Mistakes are part of learning. When you make a mistake, it’s a chance to improve.

Parent and carer guide

As a parent or carer, here’s how you can help your child with mistakes:
  • Stay calm when your child makes a mistake. Let them know it’s okay to get things wrong.
  • Ask questions like, “How did you figure that out?” or “What do you think went wrong?”
  • Encourage them to try again and show them how to use the mistake to improve.
  • Give praise for effort, not just the correct answer. Say, “You tried really hard!”
  • Model mistakes by showing how you make mistakes and fix them.
Remember, your child is learning and growing. Mistakes are part of that process. Don’t worry if they get things wrong – they’re just learning how to do it better.

Practice questions

  1. What is 9 + 6?
    Answer: 15
  2. If you have 3 groups of 4 apples, how many apples do you have?
    Answer: 12
  3. What is 7 × 8?
    Answer: 56
  4. What is 100 - 45?
    Answer: 55
  5. How many sides does a hexagon have?
    Answer: 6

FAQ

Why do we make mistakes in maths? Mistakes happen because our brains are still learning. When we try something new, we are still figuring out how to do it correctly. Making mistakes helps us learn how to do it better next time.

Are all mistakes the same? No, some mistakes are more helpful than others. If you make a mistake because you didn’t think carefully, that’s a good chance to learn. If you make a mistake because you didn’t try, that’s different.

Can I learn from mistakes in games too? Yes! When you play a game and lose, you can learn how to play better next time. Mistakes in games help you get better at problem-solving and strategy.

What should I do when I make a mistake? First, take a deep breath. Then, look at what went wrong. Try again, and see if you can fix it. Remember, mistakes help you learn!

Is it okay to ask for help when I make a mistake? Yes, it’s always okay to ask for help. Asking for help is a smart way to learn and grow. Teachers, parents, and friends are here to help you learn from your mistakes.