Introductory description

This module gives you the opportunity to engage in mathematical problem solving and to develop problem solving skills through reflecting on a set of heuristics. You will work both individually and in groups on mathematical problems, drawing out the strategies you use and comparing them with other approaches.

Module web page

Module aims

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

Getting Started
Phases of Work
Responses to being Stuck
Attack: Conjecturing
Attack: Justifying and Convincing
Still Stuck
Developing and Internal Monitor
Developing Mathematical Thinking

Learning outcomes

By the end of the module, students should be able to:

• Use an explicit problem solving scheme to control their approach to mathematical problems.
• Explain the role played by different phases of problem solving.
• Critically evaluate their own problem solving practice.

Indicative reading list

The module is based on Thinking Mathematically (second edition), by John Mason, Leone Burton and Kaye Stacey

Subject specific skills

See learning outcomes

Transferable skills

Students will acquire key reasoning and problem solving skills from working individually and in small groups, which will empower them to address new problems with confidence.