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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

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.
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 …