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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.

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)

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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