Developing as Mathematicians

Welcome to the 'Developing as Mathematicians' section of NRICH, devoted to helping students progress through school mathematics into the advanced stages and university beyond.

This page contains activities designed for the exciting stages of school mathematics where the content and challenges become more complex, fascinating and rewarding. In addition to working through the problems you might also find our Mathematical Introductions interesting and useful. Remember that you can always use the Ask NRICH forum for hints and suggestions if (when!) you get stuck on the problems.

Working Systematically - Upper Secondary

Stage: 4 and 5

Develop your skills in systematic mathematical enquiry

Visualising - Upper Secondary

Stage: 4 and 5

Develop your skills of visualisation of mathematical objects

Representing - Upper Secondary

Stage: 4 and 5

Discover how different mathematical representations can help us to understand mathematical objects.

Mathematical Modelling - Upper Secondary

Stage: 4 and 5

Explore the ways that mathematics can be used to model and analyse different scenarios.

Exploring and Noticing Structure - Upper Secondary

Stage: 4 and 5

Work on these problems to develop your appreciation of mathematical patterns and structures.

Posing Questions and Making Conjectures - Upper Secondary

Stage: 4 and 5

Hone your skills of mathematical enquiry and conjecture.

Reasoning, Justifying, Convincing and Proof - Upper Secondary

Stage: 4 and 5

Develop your skills of mathematical argument and proof.