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# Thinking Mathematically - Primary Students

### Exploring and Noticing - Primary Students

### Working Systematically - Primary Students

### Conjecturing and Generalising - Primary Students

### Saying What You See - Lower Primary Students

### Saying What You See - Upper Primary Students

### Convince Me! - Lower Primary Students

### Convince Me! - Upper Primary Students

### Practice Makes Perfect - Lower Primary Students

### Practice Makes Perfect - Upper Primary Students

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Successful mathematicians understand and use mathematical ideas and methods, solve problems, explain and justify their thinking, and have a positive attitude towards learning mathematics.

Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, convincing, proving... are all at the heart of mathematical thinking. The activities below are designed to give you the opportunity to think and work as a mathematician.

*For problems arranged by mathematical topics, see our Topics in Primary Mathematics page
For problems arranged by mathematical mindsets, see our Mathematical Mindsets page*

Age 5 to 11

What do you notice as you explore these problems?

Age 5 to 11

Mathematicians try to work systematically so they can see how they worked something out, and see patterns which messy work might not reveal. Here's a selection of tasks where having good ways to sort and organise can be very helpful.

Age 5 to 11

Work on these problems to improve your conjecturing and generalising skills.

Age 5 to 7

You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.

Age 7 to 11

You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.

Age 5 to 7

Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!

Age 7 to 11

Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!

Age 5 to 7

These activities make use of things you probably already know and help you to understand them even better for solving problems!

Age 7 to 11

These activities make use of things you probably already know and help you to understand them even better for solving problems!