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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/

0 votes

Journals for undergraduates

In Mathematics 4 Maryams you can find hundred years of Iranian expository mathematics magazines. They are all in Farsi. But, even with no knowledge of Farsi, you can literally see the extraordinary di …
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 …
33 votes
15 answers
3k views

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 …
16 votes

Parodies of abstruse mathematical writing

The following is somehow a parody of "proof by contradiction" with an obvious educational purpose taken from the book "The Foundation of Mathematics" written by Ian Stewart and David Tall: COMEDI …
3 votes

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 …
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 …
10 votes

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 …
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 …
55 votes
18 answers
9k views

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 …
11 votes

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 …
Amir Asghari's user avatar
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7 votes
2 answers
1k views

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 …
Amir Asghari's user avatar
  • 2,437
11 votes

Review papers in mathematics

For a "newcomer", perhaps "The Princeton Companion to Mathematics" would be a good start.
4 votes
4 answers
2k views

When did you "meet Polya"? [closed]

I guess most of us didn't meet Polya in person (this is the answer to the title)! Perhaps, it is much easier to guess that most of us have met one of his writings (or alike) on problem solving, and i …
27 votes
3 answers
3k views

Is “problem solving” a subject to be taught?

I am witnessing a new curriculum change in my country (Iran). It includes the change of all the mathematics textbooks at all grades. The peoples involved has sent me the textbook for seven graders (13 …

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