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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
2
votes
Justifying/Explaining math research in a public address
There are a number of interesting examples on the NSF Mathematical Sciences Institutes page.
7
votes
Video lectures of mathematics courses available online for free
MSRI's online videos. These do not consist of courses, but each semester is themed so the videos offer good exposure to many areas of current research.
4
votes
What would you want to see at the Museum of Mathematics?
I'd love to see a wall sized picture of the matrix of a random element of the monster group acting in a faithful representation.
0
votes
How to present mathematics to non-mathematicians?
Since you deal with higher ordinals, 10 minutes seems like more than enough time to prove that there are more real numbers than natural numbers. I think most people can follow the "list of decimals" p …