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Acknowledgements; A guide for the reader; Introduction - how to read mathematics; 1. Mathematical discovery in the classroom; 2. Don’t reach for your calculator (yet); 3. Have another piece of pie, Zeno?; 4. Thinking like a mathematician - lessons from a medieval Rabbi; 5. What’s mathematics good for?; 6. Three averages; 7. Algorithms - the unexpected role of pure mathematics; 8. Pythagoras’ Theorem and math by pictures; 9. Memorizing versus understanding; 10. Games and gambling; 11. Soccer balls and counting tricks; 12. Pizza Pi and area; 13. Back to the classroom; Resources for rediscovering mathematics; Further reading; Index.

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