The following presentations can be used as a basis for discussion about good presentation technique:
- Videos are available from some conferences, including the 2006 International Congress of Mathematicians. An example of a good slide talk is Oded Schramm’s Random, Conformally Invariant Scaling Limits in 2 Dimensions from the 11th session.
- Steven Strogatz gave a series of three Simons Lectures at M.I.T. in the spring of 2011.
- Many undergraduate math lectures are available via M.I.T.’s OpenCourseWare. An example of a good black-board lecture that includes proofs is Lecture 17 of Intro to Algorithms, with Erik Demaine.
- The Isaac Newton Institute also has chalk talks online: see their web seminars. Good board work is illustrated by Alan Sokal’s lecture, in which he gives an introduction to statistical mechanics for mathematicians (particularly combinatorialists). See, in particular, the first 10 minutes of the talk.
- Vi Hart’s videos about doodling in math class These unconventional but engaging (non)lectures could spark a discussion about how to design an engaging math presentation. What strategies does Vi use to engage the audience? Which of these strategies could be used in more formal presentations?
- “3Blue1Brown is a YouTube channel about animating math. Checkout the “Recommended” playlist for some thought-provoking one-off topics, and take a look at the “Essence of linear algebra” for some more student-focussed material.” See, for example, the short video on “Understanding e to the pi i.”