From Calculus to Computers

Preface; Introduction; Part I. Algebra, Number Theory, Calculus, and Dynamical Systems: 1. Arthur Cayley and the first paper on group theory David J. Pengelley; 2. Putting the differential back into differential calculus Robert Rogers; 3. Using Galois' idea in the teaching of abstract algebra Matt D. Lunsford; 4. Teaching elliptic curves using original sources Lawrence D'Antonio; 5. Using the historical development of predator-prey models to teach mathematical modeling Holly P. Hirst; Part II. Geometry: 6. How to use history to clarify common confusions in geometry Daina Taimina and David W. Henderson; 7. Euler on Cevians Eisso J. Atzema and Homer White; 8. Modern geometry after the end of mathematics Jeff Johannes; Part III. Discrete Mathematics, Computer Science, Numerical Methods, Logic, and Statistics: 9. Using 20th century history in a combinatorics and graph theory class Linda E. MacGuire; 10. Public key cryptography Shai Simonson; 11. Introducing logic via Turing machines Jerry M. Lodder; 12. From Hilbert's program to computer programming William Calhoun; 13. From the tree method in modern logic to the beginning of automated theorem proving Francine F. Abeles; 14. Numerical methods history projects Dick Jardine; 15. Foundations of Statistics in American Textbooks: probability and pedagogy in historical context Patti Wilger Hunter; Part IV. History of Mathematics and Pedagogy: 16. Incorporating the mathematical achievements of women and minority mathematicians into classrooms Sarah J. Greenwald; 17. Mathematical topics in an undergraduate history of science course David Lindsay Roberts; 18. Building a history of mathematics course from a local perspective Amy Shell-Gellasch; 19. Protractors in the classroom: an historical perspective Amy Ackerberg-Hastings; 20. The metric system enters the American classroom: 1790-1890 Peggy Aldrich Kidwell; 21. Some wrinkles for a history of mathematics course Peter Ross; 22. Teaching history of mathematics through problems John R. Prather