### NOVA's *The Proof*: Presenting Proof, Success and Discoveries in
Mathematics

To help you identify the main mathematicians in the video:
*Andrew Wiles*: Appears first;
*John Conway*: Escher shirt;
*Peter Sarnak*: Maroon polo with grey collar and later a green polo;
*Nick Katz*: Mustache, light blue button down / helped review the proof;
*Ken Ribet*: Peach sweater with blue collar / cafe / Epsilon conjecture;
*John Coates*: Suit jacket and tie / Wiles' adviser;
*Barry Mazur*: Patterned dark button down;
*Goro Shimura*: White button down / Taniyama-Shimura

What are the **analogies or metaphors** that people in the video
present to describe the process of doing mathematics and/or mathematical
**research**?

How do people in the video describe what a **proof** is?

What practices do mathematicians employ in order to encourage the
**flashes of insight** they need for success in research?

Some people view mathematics as a solitary profession.
What **community and social aspects** are portrayed?

Global Perspectives: What **countries from abroad** play a part?

Algebra plays an important part in the video.
What are the
additional **fields of mathematics** that relate to high school
or college?

Comment on the general strengths and weaknesses of how the mathematicians
**presented mathematics**, especially in reference to Paul Hamos' ideas of
"How to talk mathematics."