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Results tagged with mathematics-education
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user 450
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/
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 $M=IM$, …
- 47.5k
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 …
- 47.5k
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 …
- 47.5k