Thinking Mathematically

For problems arranged by curriculum topics or mathematical habits of mind, visit the NRICH Secondary Curriculum page.


We recommend the following books and articles which address what it means to think mathematically:

Stage: 3 and 4 Challenge Level: Challenge Level:1

Exploring and Noticing Structure

Problems about exploring and noticing structure for use with Stage 3 and 4 students.

Stage: 3 and 4 Challenge Level: Challenge Level:1

Working Systematically

Problems about working systematically for use with Stage 3 and 4 students.

Stage: 3 and 4

Thinking Strategically

Problems about thinking strategically for use with Stage 3 and 4 students.

Stage: 3 and 4 Challenge Level: Challenge Level:1

Posing Questions and Making Conjectures

Problems about posing questions and making conjectures for use with Stage 3 and 4 students.

Stage: 3 and 4

Visualising

Problems about visualising for use with Stage 3 and 4 students.

Stage: 3 and 4 Challenge Level: Challenge Level:1

Mathematical Modelling

Problems about mathematical modelling for use with Stage 3 and 4 students.

Stage: 3 and 4

Representing

Problems about representing for use with Stage 3 and 4 students.

Stage: 3 and 4

Reasoning, Justifying, Convincing and Proof

Problems about reasoning, justifying, convincing and proof for use with Stage 3 and 4 students.

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.