Answer by Justin Skycak for A good book about mathematical thinking
Here are two really friendly proof books (with PDFs available online):The Book of Proof (Hammack)How to Prove It (Velleman)These books do a good job of not just asking students to prove things, but...
View ArticleAnswer by guest troll for A good book about mathematical thinking
You might take a look at Mathematics and Plausible Reasoning by Polya. First volume is probably sufficient for a...
View ArticleA good book about mathematical thinking
I am a qualified mathematics teacher but I have left teaching because I could not tolerate the behaviour of students. Now I am a mathematics tutor and I love that I get to teach students who are eager...
View ArticleAnswer by Jim Hefferon for A good book about mathematical thinking
Many of us have had good results doing this with a class run in Inquiry-Based style. There are many, many variations but basically the students are responsible for working their way through the...
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Answer by Joseph O'Rourke for A good book about mathematical thinking
Byers, William. How mathematicians think: Using ambiguity, contradiction, and paradox to create mathematics. Princeton University Press, 2010.PUP link.Emphasizes the creativity in mathematics.
View ArticleAnswer by Pedro for A good book about mathematical thinking
I think the following books can help.How to Think Like a Mathematician: A Companion to Undergraduate Mathematics by Kevin Houston.Theorems, Corollaries, Lemmas, and Methods of Proof by Richard J. Rossi.
View ArticleAnswer by johnnyb for A good book about mathematical thinking
My favorite book so far is Jay Cummings "Proofs: A Long-Form Mathematics Textbook." It not only has great information, it is well-written and an enjoyable read.
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