From Calculus to Computers Using the Last 200 Years of Mathematics History in the Classroom 1st Edition by Amy Shell Gellasch, Dick Jardine ISBN 0883851784 9780883851784

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Product details:

ISBN 10: 0883851784

ISBN 13: 978-0883851784

Author:  Amy Shell-Gellasch, Dick Jardine 

From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom 1st Edition: To date, much of the literature prepared on the topic of integrating mathematics history into undergraduate teaching contains, predominantly, ideas from the 18th century and earlier. This volume focuses on nineteenth- and twentieth-century mathematics, building on the earlier efforts but emphasizing recent history in the teaching of mathematics, computer science, and related disciplines. From Calculus to Computers is a resource for undergraduate teachers that provides ideas and materials for immediate adoption in the classroom and proven examples to motivate innovation by the reader. Contributions to this volume are from historians of mathematics and college mathematics instructors with years of experience and expertise in these subjects. Examples of topics covered are probability in undergraduate statistics courses, logic and programming for computer science, undergraduate geometry to include non-Euclidean geometries, numerical analysis, and abstract algebra.

 

From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom 1st Edition Table of contents:

I – Algebra, number theory, calculus, and dynamical systems

• 1. Arthur Cayley and the first paper on group theory
• 2. Putting the differential back into differential calculus
• 3. Using Galois’ ideas in the teaching of abstract algebra
• 4. Teaching elliptic curves using original sources
• 5. Using the historical development of predator-prey models to teach mathematical modeling

II – Geometry

• 6. How to use history to clarify common confusions in geometry
• 7. Euler on cevians
• 8. Modern geometry after the end of mathematics

III – Discrete mathematics, computer science, numerical methods, logic, and statistics

• 9. Using 20th-century history in a combinatorics and graph theory class
• 10. Public key cryptography
• 11. Introducing logic via Turing machines
• 12. From Hilbert’s program to computer programming
• 13. From the tree method in modern logic to the beginning of automated theorem proving
• 14. Numerical methods history projects
• 15. Foundations of statistics in American textbooks: probability and pedagogy in historical context

IV – History of mathematics and pedagogy

• 16. Incorporating the mathematical achievements of women and minority mathematicians into classrooms
• 17. Mathematical topics in an undergraduate history of science course
• 18. Building a history of mathematics course from a local perspective
• 19. Protractors in the classroom: an historical perspective
• 20. The metric system enters the American classroom: 1790–1890
• 21. Some wrinkles for a history of mathematics course
• 22. Teaching history of mathematics through problems

 

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