Math 505 — Spring 2002 Educational Issues in Undergraduate Mathematics

Grading: S/U

This course will examine various educational issues in undergraduate mathematics, and the relationship of these issues to the mathematics itself. The precise choice of topics will depend on the interests of those attending, but the intent is that a balance of different views be presented and discussed. There will be readings in the course and occasional guest lectures.

Possible topics include:

• What is the nature of proof and how and when should we teach it?
• What is mathematical understanding — how do we recognize it?
• What should every mathematics major know?
• What does research in undergraduate mathematics education have to tell us?
• Theories of learning and knowledge — Can they help us?
• Calculus "reform" — What is it and can we tell if it works?
• Teaching mathematics to future and existing school teachers.
• Using writing to teach undergraduate mathematics.
• Using history of mathematics in teaching undergraduate mathematics.
• Alternative modes of assessments.
• Alternatives to lecturing.
• Equity issues.
• Effective uses of technology. How can we tell if they are effective?