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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/
24
votes
When exactly and why did matrix multiplication become a part of the undergraduate curriculum?
Too long for a comment, but this premise of the question:
I know that matrix multiplication was introduced by Cayley (correct me if I am wrong)
is indeed wrong. Gauss in Disquisitiones Arithmeti …
67
votes
Parodies of abstruse mathematical writing
Well there is C. E. Linderholm's Mathematics made difficult ("available on the internet")...
Also, if I remember well, D. Nordon's Les mathématiques pures n'existent pas! has a pretty biting parody o …
55
votes
Is the boundary $\partial S$ analogous to a derivative?
Q1. Is there a sense in which the boundary operator $\partial$ is analogous to a derivative?
It may be worth noting that de Rham in (1936) and especially (1938, pp. 317–323) already spelled out m …
7
votes
Source for analysis of identification of structures in learner's mind and mathematical struc...
You say that Freudenthal does not elaborate his objections, but in a sense he did just that in his book Mathematics as an educational task (1973), Appendix I, starting: “The somewhat summary criticism …