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:

Age 11 to 16 Challenge Level:

Exploring and Noticing Structure

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

Age 11 to 16 Challenge Level:

Working Systematically

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

Age 11 to 16

Thinking Strategically

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

Age 11 to 16 Challenge Level:

Posing Questions and Making Conjectures

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

Age 11 to 16

Visualising

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

Age 11 to 16 Challenge Level:

Mathematical Modelling

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

Age 11 to 16

Representing

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

Age 11 to 16

Reasoning, Justifying, Convincing and Proof

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