Rediscovering Mathematics is a guide to more effective mathematical education, offering topics and puzzles that can inspire a renewed interest in mathematics among students and enthusiasts. Suitable for anyone wanting to expand their view of mathematics, the book's topics are linked by the theme of mathematical learning through investigation, challenge, and discovery. This book can be used as a text for training mathematics teachers at all levels, and is recommended for anyone interested in mathematics and how mathematics should be taught. Containing dozens of illustrations, tables, and exercises, the book focuses on problem solving and understanding, subsuming learning by memorization. Topics range from number theory and applications, to secure Internet communication, to probability in sports and gambling.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Cambridge University Press
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Illustrationen
68 b/w illus. 15 colour illus. 7 tables
Maße
Höhe: 253 mm
Breite: 177 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-0-88385-780-9 (9780883857809)
Schweitzer Klassifikation
Autor*in
Shai Simonson received his BA in Mathematics at Columbia University, and his MS and PhD in Computer Science at Northwestern University. Having previously taught at universities including the University of Illinois, Northwestern University, Tel Aviv University and ArsDigita University, he is now a Professor of Computer Science at Stonehill College, Massachusetts.
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.
