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Results tagged with mathematics-education
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user 6153
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/
0
votes
How to study a math text
A more precise formulation is: "what is the role of rote learning in mathematical study?" A purist such as Pólya would say "almost none". You have learned a theorem well when you know it back-to-front …
65
votes
Teaching proofs in the era of Google
How would you teach anything in an age when the "arcana" or guild secrets had been made public? Well, you would teach. And you would not ask questions that had answers that could be called "answers" o …
12
votes
Accepted
To what extent can algorithms in undergraduate linear algebra be made continuous/polynomial/...
There are perhaps three or four themes lurking in here. NB that "undergraduate linear algebra" is perhaps an artificial construct, and examples set to test whether students understand basic concepts d …
- 12.6k
5
votes
Place of Analytic geometry in modern undergraduate curriculum
I guess one way to explain the situation is in terms of a pedagogic problem with geometry, that doesn't correspond to any professional-level problem with geometry.
As reading MO would convince peopl …
- 12.6k
2
votes
Less-known conjectures of significant influence and the contrary
One can contrast Hilbert's 7th problem (http://en.wikipedia.org/wiki/Hilbert%27s_seventh_problem) on transcendence with his views on Fermat's last theorem. These are reported somewhere, namely that th …
- 12.6k
13
votes
What is your favorite isomorphism?
I nominate the Chinese Remainder Theorem, in the form of an isomorphism of a ring of residues with a cartesian product ring. This isn't "profound" mathematics, but simply unpacking it (with constructi …
4
votes
What would be good to know before starting my undergraduate studies to become a good mathema...
The answers surely depend on what kind of mathematics course, and where (you give no clues at all). But here's one traditional point: make sure you are absolutely solid on the difference between neces …
2
votes
Mathematics and autodidactism
I think there is an important complex relating to research mathematics you could call autodidacticism-contrarianism (A-C), but it is not so clear quite where the dividing line between the two parts li …