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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/

21 votes

Motivation for concepts in Algebraic Geometry

Dear Steven, I think Mumford's notes of the mid 60's, the first ever explaining schemes to ordinary mortals, are still the closest to what you want. They have become a book in 1988: The Red Book of Va …
Georges Elencwajg's user avatar
64 votes

Too old for advanced mathematics?

Dear bitrex: your enthusiasm is heart-warming! I have had students much older than you and they have always been a joy to teach: their maturity more than compensated for their potential knowledge-gap …
Georges Elencwajg's user avatar
125 votes

How to memorise (understand) Nakayama's lemma and its corollaries?

Mnemonic: $\quad M=IM \Rightarrow m=im$ The version of Nakayama described: If $I$ is an arbitrary ideal of an arbitrary commutative ring $A$ and if a finitely generated module $M$ satisfies $M=IM$, …
Georges Elencwajg's user avatar