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Title: Revolutions in Differential Equations : Exploring ODEs with Modern Technology by Michael J. Kallaher, Barbara E. Reynolds, Nancy Baxter Hastings, Jack Bookman, Annalisa Crannell, Daniel John Curtin, Paul E. Fishback ISBN: 0-88385-160-1 Publisher: The Mathematical Association of America Pub. Date: 11 November, 1999 Format: Paperback Volumes: 1 List Price(USD): $19.75

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Average Customer Rating: 4.5 (2 reviews)

Rating: 4
Summary: Papers on how technology can supplement the math
Comment: The advance of technology affects education in many ways, and in some it allows for educators to do things that were impossible before. One such area is in ordinary differential equations, where the ability to rapidly graph the behavior of the functions allows the teacher to present many types of problems that are too complex to sketch quickly. This book is a collection of papers about these advances, and the presence of revolutions in the title refers to the changes in education.
To his credit, the author did not choose papers that laud the technology beyond the fundamentals of the mathematics. The mathematical basis of ODEs is still the primary focus, forming the foundation of all that the technology is graphing. It was pleasing to read these papers describing experiences where the authors used software to supplement the fundamental education in differential equations rather than being artificially made a pillar.
It is necessary for all of us to join the inexorable movement of technology into the teaching of math. Done right, it can dramatically increase the learning curve, and this book will show you some solid, sensible ways to apply modern computing to the teaching of differential equations.

Rating: 5
Summary: ODE's for 2002 and beyond ...
Comment: This is a "must read" for anyone teaching (or taking) introductory Ordinary Differential Equations. The "Revolution" amounts to the extensive use of technology to exhibit and exploit many important aspects of differential equations typically omitted in what has become the "standard approach" over the last 30+ years. Unfortunately, students come away from the "old style" courses with the impression that the subject is just a collection of obscure party tricks. Nothing could be further from the truth!! To be fair, I must say that in the absence of powerful, relatively cheap computer based tools, there was little more that could be done to illuminate the subject.

Today, most every student has access to sophisticated technology to aid in understanding the material. Moreover, they can routinely work with equations that never saw the light of day at this level before. This is a vibrant, geometrically rich subject. Now it can be treated as such!

I, for one, have adopted this technology based approach in the courses I teach and, I've got to say, there's no going back!!

I strongly recommend this little pamphlet for instructors and students alike.