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2 votes

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

Frame-challenge answer: It's better to start with the educational goal you have in mind, and from there decide the best way to achieve it. Starting with a book that you like, and trying to find a way ...
user22788's user avatar
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2 votes

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

I've used Proofs and Refutations in the classroom (college students in the US), but not in the direct ways you suggested. When leading up to Euler's formula $V-E+F=2$, I try to get the students to see ...
Joseph O'Rourke's user avatar
1 vote

What are some good books on mathematical pedagogy?

I find the MAA's Instructional Practices Guide to be thought-provoking.
Jim Hefferon's user avatar
0 votes

What are some good books on mathematical pedagogy?

Perhaps Proofs and Refutations by Lakatos might give you a good perspective.
Deipatrous's user avatar
5 votes

What are some good books on mathematical pedagogy?

This isn't a book, but I recommend (along with looking at the texts suggested here), to read the article by Jaime Escalante. https://files.eric.ed.gov/fulltext/ED345942.pdf This is not to say his ...
guest troll's user avatar
2 votes

What are some good books on mathematical pedagogy?

One of my interests is East Asian mathematics education. A very good book that succinctly describes some of its philosophies is “Principles of Mathematics Education” published by the Association of ...
JRN's user avatar
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9 votes

What are some good books on mathematical pedagogy?

"Building thinking classrooms" by Liljedahl is a summary of effective teaching practices distilled from Liljedahl's research. TLDR: get students working on questions which require thinking ...
Steven Gubkin's user avatar
10 votes

What are some good books on mathematical pedagogy?

My favored text that I consider essential for "getting started" as a college math instructor is: Krantz, Steven George. How to teach mathematics. American Mathematical Soc., 1999.
Daniel R. Collins's user avatar
12 votes

What are some good books on mathematical pedagogy?

In The Teaching Gap, James Stigler and James Hiebert analyze research from the TIMSS studies. Part of their conclusion is that much of our experiences of classroom culture are deeply imprinted in us, ...
Sue VanHattum's user avatar
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