Learn from the Masters

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.