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1 What does a proof look like?This is a very helpful resource and available freely on Eugenia's website (at least for now...)
2 Why is writing a proof hard?
3 What sort of things do we try and prove?
4 The general shape of a proof
5 What doesn't a proof look like?
6 Practicalities: how to think up a proof
7 Some more specific shapes of proofs
8 Proof by contradiction
9 Exercises: What is wrong with the following proofs"?

Each two-page spread has an excellent story about a mathematical principle, discovery, puzzle, or person. You can find more information about the book at amazon.com.
