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Results tagged with mathematics-education
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user 29316
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
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What are your experiences of handouts in mathematics lectures?
Once upon a time, I taught a very non-standard, absolutely student-centered
multivariable calculus course just using handouts. You may find the details here: (2012), Moore and Less!, PRIMUS: Problems, …
2
votes
What are the advantages and disadvantages of the Moore method?
I am a very latecomer to the question. Thus, I doubt my contribution will do any good. I try. The Moore Method is one of my favorite "teaching" methods. I have used a variant of it several times and i …
11
votes
Review papers in mathematics
For a "newcomer", perhaps "The Princeton Companion to Mathematics" would be a good start.
33
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15
answers
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Historical (personal) examples of teaching-based research
The phrase "teaching-based research" brings to mind research about teaching, though important, it is not what I mean. Unfortunately, I couldn't come up with a better phrase, thus please bear with me w …
2
votes
Examples of common false beliefs in mathematics
Anytime I wanted to write an answer to this question, I doubted maybe it is not as common as worthy of mentioning here. In fact, I am also not sure how common is the false belief that I observed today …
3
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Looking for ideas concerning the teaching of lower-division differential equation courses...
I am not sure this answer would be helpful since the question is two years old. Anyway, since the question has popped up again, I am happy to introduce this lovely short book that hopefully will give …
3
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Advantages of the sequence definition of limits
"Are there any arguments which become significantly easier...". There is an obvious choice: Disprove that a certain function has a limit at a certain point. Showing that with epsilon-delta would be a …
55
votes
18
answers
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How can an extremely mathematically talented young person be helped to fulfill his/her poten...
Obviously, this question is not a research level mathematics question at all. But, I've just met an extremely mathematically talented $11$ years old student and I don't know how I can help him. For ye …
37
votes
Is Euclid dead?
I try to keep my answer short.
Fact: Euclidean geometry is still taught in Iranian middle and high schools.
Observation (based on research): Most teachers do not like to teach geometry. They say, when …
7
votes
2
answers
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How should you respond to a student who asks whether a very nice physical example constitute... [closed]
"Is this really a proof?" is the exact question e-mailed to me today from an undergraduate mathematics student whom I know as a highly competent student. The one sentence question was accompanied with …
- 2,437
10
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Recreational mathematics: where to search?
This is somehow a copy of my answer to a closely related question:
G4G (Gathering for Gardner) is a Foundation that is worth to connect with. From 2010, people around the world celebrate the birthda …
8
votes
Recreational mathematics: where to search?
"Tournaments of cities" mentioned in one of the answers just reminded me of a very lively magazine, again with Russian origin, that is unfortunately not published anymore: Kvant (Quantum; Wayback Mach …
81
votes
22
answers
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Are there proofs that you feel you did not "understand" for a long time?
Perhaps the "proofs" of ABC conjecture or newly released weak version of twin prime conjecture or alike readily come to your mind. These are not the proofs I am looking for. Indeed my question was ins …
11
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Insightful books about elementary mathematics
Mathematics: A Very Short Introduction by Timothy Gowers. It is very short and indeed very insightful. It is not a textbook, but includes some school-mathematics topics. From the cover:
The aim o …
3
votes
Good Books on the history of Zero
Since no other answer came up, I repeat my comment as an answer. The book written by Charles Seife: Zero: The Biography of a Dangerous Idea which won the 2000 PEN/Martha Albrand Award for First Nonfic …
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