- Courses
- Planning the term
- Math lab class
- Undergraduate seminars
- Moore method & inquiry-based learning
- Principles of Mathematical Exposition
- Principles of Applied Mathematics
- M.I.T.’s communication-intensive offering of Real Analysis
- Translating concepts into math language
- Translating notation
- Information Order and Connectivity
- Proof writing; guiding text
- Exam review
- Conceptual vs. Formal
- Peer Critique
- Order of quantifiers
- Proof Structure
- Proof Elegance
- Audience Awareness
- Professional Communication
- Advanced LaTeX Topics
- Feedback Discussion

- Writing
- Assignments on writing
- Giving a lecture or workshop on writing
- Examples of good math writing
- Revising Writing
- Peer critique on writing
- Resources for writing: handouts & links
- Writing to learn: using writing to help students learn math
- English learners & global English
- Opportunities for publishing and writing prizes
- Reading mathematics
- Feedback and assessment for writing

- Presentations
- Assignments on presentations
- Examples of good math presentations
- Giving a lecture or workshop about presenting
- Practice presentations
- Engaging the audience
- Peer critique for presentations
- Resources for presentations: handouts & links
- Presenting to learn: learning math by talking about it
- Opportunities for students to present
- Listening to mathematics
- Feedback and assessment for presentations

- General Principles
- 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
- Notation
- LaTeX
- Informal communication
- Assessment

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