Thinking Mathematically

Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, justifying, proving... are all at the heart of mathematical thinking. 

These collections of activities are designed to develop your capacity to work as a mathematician.

Remember that you can always use the Ask NRICH forum for hints and suggestions if (when!) you get stuck on the problems.
Stage: 3

Posing Questions and Making Conjectures - Lower Secondary

Work on these problems to improve your questioning skills.

Stage: 3

Exploring and Noticing Structure - Lower Secondary

What mathematical structures do you notice as you explore these problems?

Stage: 3

Thinking Strategically - Lower Secondary

Work on these problems to improve your strategic thinking.

Stage: 3

Working Systematically - Lower Secondary

Work on these problems to improve your ability to work systematically.

Stage: 3

Visualising - Lower Secondary

Work on these problems to improve your visualisation skills.

Stage: 3

Mathematical Modelling - Lower Secondary

Work on these problems to improve your mathematical modelling skills.

Stage: 3

Representing - Lower Secondary

Consider how alternative representations can help us to understand the underlying mathematical concepts.

Stage: 3

Reasoning, Justifying, Convincing and Proof - Lower Secondary

Work on these problems to improve your reasoning skills.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.