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Search options not deleted user 29316

This tag is used if a reference is needed in a paper or textbook on a specific result.

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 …
27 votes
4 answers
4k views

Who introduced the terms "equivalence relation" and "equivalence class"?

Consider that the question does not concern the origin of the ideas of equivalence relation and equivalence class. It exactly concerns the origin of the terms "equivalence relation" and "equivalence c …
Amir Asghari's user avatar
  • 2,437
13 votes
3 answers
2k views

History of the abstract method in mathematics

Recently I have "finished" a 13-year on and off research on the history of the mathematical notion of equivalence. At the end of which, I learned that we owe the nowadays rather elementary process of …
Amir Asghari's user avatar
  • 2,437
6 votes
0 answers
124 views

Historical background of finding the roots of cubic equations using continued fractions

I came across an algebra problem book written in 1899 for students of Dar al-Fonun ([dɒːɾolfʊˈnuːn], meaning, "polytechnic college",) the only modern educational institute in Iran at the time (establ …
Amir Asghari's user avatar
  • 2,437
6 votes
2 answers
4k views

William Thurston's quote?

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. Is this from Thurston? If yes, where and when it has been said. I've checked "ON PROOF AND P …
Amir Asghari's user avatar
  • 2,437
5 votes
2 answers
581 views

Online Interactive mathematics games for mathematicians or mathematicians-to-be!

I am aware that this is not a research level mathematics question. Also, it would not have a single answer (if any) and yet, I hoping that it will be considered as a community wiki question worthy of …
3 votes

Are there some websites for self learining of advanced mathematics?

Have you ever tried MIT OPENCOURSEWARE
Amir Asghari's user avatar
  • 2,437
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
  • 2,437
2 votes

Learning through guided discovery

You may find this one interesting: Number Theory Through Inquiry (MAA textbooks). I have used it three times. First time, which I strictly followed the method, we just coverd the first four chapters. …
0 votes

Who introduced the terms "equivalence relation" and "equivalence class"?

This is to add something to Francois' answer to the UPDATE. This is from "Frege : philosophy of mathematics" by Dummett (1991), p. 50: One of the mental operations most frequently credited with cr …
Amir Asghari's user avatar
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