Where is mathematics learning going today? There are many books nowadays, that emphasis conciseness and rigour over all else. The Rudin "series" is a perfect example. There is hardly any motivation, and emphasis is put on rigour, rather than intuition. I am sure that this could be argued away as being a valuable tool for training "real" mathematicians, but how effective is this approach, really? Has the use of such learning tools really produced a new generation of brilliant mathematicians? What was it that produced the previous generation of great mathematicians? How would the masters have responded to this change in the teaching of mathematics? I am not trying to make a point here, just curious as to how much success these approaches have achieved.(adsbygoogle = window.adsbygoogle || []).push({});

An interesting article to read if you have the time, by the esteemed V. I. Arnold http://pauli.uni-muenster.de/~munsteg/arnold.html

Seems to me as if the Soviets were on top of things with regards to teaching. (Kolmogorov and such)

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# Methods of Teaching Mathematics

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