Learn from the Masters - Brossura

Brossura

ISBN 10: 0883857030 ISBN 13: 9780883857038

Casa editrice: The Mathematical Association of America, 1997

Riassunto

How to use history to teach mathematics; for high school and college teachers.

Su questo libro

Descrizione del libro

This book is for teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. It provides readers with historical ideas and insights which can be immediately applied in the classroom. Each article contains a bibliography to guide the reader to further reading on the subject.

Contenuti

Part I. History In School Mathematics: 1. History of mathematics can help improve instruction and learning; 2. The role in the history of mathematics of algorithms and analogies; 3. Using problems from the history of mathematics in classroom instruction; 4. Revisiting the history of logarithms; 5. Napier's logarithms adapted for today's classroom; 6. Trigonometry comes out of the shadows; 7. Alluvial deposit, conic sections, and improper glasses, or history of mathematics applied in the classroom; 8. An historical example of mathematical modeling: the trajectory of a cannonball; Part II. History In Higher mathematics: 9. Concept of function - its history and teaching: my favorite ways of using history in teaching calculus; 10. Improved teaching of the calculus through the use of historical materials; 11. Euler and heuristic reasoning; 12. Converging concepts of series: learning from history; 13. Historical thoughts on infinite numbers; 14. Historical ideas in teaching linear algebra; 15. Wessel on vectors; 16. Who needs vectors?; 17. The teaching of abstract algebra: a historical perspective: toward the definition of an abstract ring; 18. In Hilbert's shadow: notes toward a redefinition of introductory group theory; 19. An episode in the history of celestial mechanics and its utility in the teaching of applied mathematics; 20. Mathematical thinking and history of mathematics; 21. A topics course in mathematics; 22. Niels Henrik Abel (1802-1829): a tribute.

Dettagli dell'edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0883857030
• ISBN 13: 9780883857038
• Rilegatura: Copertina flessibile
• Numero di pagine: 311
• Redattore: Swetz Frank, Fauvel John, Johansson Bengt, Katz Victor, Bekken Otto
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile