Experiences of learning mathematics

This course explores the experiences of learning mathematics, focusing on the debate between knowing and doing mathematics. Students will learn about designing alternative programs and curricula, studying the Möbius band, and engaging in the do, talk, and record triad. The teaching method involves a combination of theoretical discussions, practical exercises, and reflective activities. This course is intended for individuals interested in understanding different approaches to learning mathematics and exploring alternative teaching methods.

• Introduction
• Learning outcomes
• 1 Overview
• 1 Overview
• 1.1 Experiences of learning mathematics
• 1.2 Mathematics: to know or to do?
• 1.2.1 To know or to do?
• 1.2.2 Content
• 1.2.3 Process
• 1.3 Designing alternative programmes and curricula
• 1.5 Studying the Möbius band
• 1.6 Do, talk and record triad
• Conclusion
• References
• Acknowledgements