This page contains some general principles of communicating mathematics. Many of these principles are presented within the context of writing, but they apply to presentations as well.
We include only communication principles for which we have teaching resources. Feel free to suggest or contribute materials.
- Characteristics of effective student talks and papers
- Research on communication & its pedagogy
- Focusing and structuring longer communication
- Guiding the audience through the content
- Ordering information so content flows logically
- Balancing conceptual with formal
- Precision and rigor
- Types of proof & proof-writing strategies
- Proof elegance
- Audience awareness
- Using sources
- Using visuals
- Wording and punctuation
- Informal communication