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The Calculus Collection: A Resource for AP and Beyond
The Calculus Collection is a useful resource for everyone who teaches calculus, in secondary school or in a college or university. It consists of 123 articles selected by a panel of veteran secondary school teachers. The articles focus on engaging students who are meeting the core ideas of calculus for the first time and who are interested in a deeper understanding of single-variable calculus. The Calculus Collection is filled with insights, alternative explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.
528 pages, Hardcover
First published November 28, 2009
8 people want to read
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January 8, 2015
As a longtime reviewer, I have looked through and reviewed many calculus texts. I have reached the point where I dislike doing it because they are all so similar; there is a core set of problems that always appear so that at this point looking through a calculus text is déjà vu all over again.
This book is a collection of published articles about calculus and the staple problem is the theme for many of them. For example, the falling ladder problem is the point of several of them and the goal is to provide insight to and poke a little fun at these staples. In that respect, the book is a welcome relief for it gives the reader an opportunity to look at these problems in a fresh light.
The point is made that at this time in the United States, the high school AP calculus students form the largest market for calculus instruction. That is why the book is targeted at the teaching of calculus at the AP level, although that is a bit disingenuous. It is stated that AP calculus should be the same as college calculus yet the book is aimed at the AP "level." That marketing ploy aside, this book contains a large number of nuggets that can be used to enliven and strengthen the teaching of calculus, independent of the where and the level.
Published in Journal of Recreational Mathematics, reprinted with permission and this review appears on Amazon
This book is a collection of published articles about calculus and the staple problem is the theme for many of them. For example, the falling ladder problem is the point of several of them and the goal is to provide insight to and poke a little fun at these staples. In that respect, the book is a welcome relief for it gives the reader an opportunity to look at these problems in a fresh light.
The point is made that at this time in the United States, the high school AP calculus students form the largest market for calculus instruction. That is why the book is targeted at the teaching of calculus at the AP level, although that is a bit disingenuous. It is stated that AP calculus should be the same as college calculus yet the book is aimed at the AP "level." That marketing ploy aside, this book contains a large number of nuggets that can be used to enliven and strengthen the teaching of calculus, independent of the where and the level.
Published in Journal of Recreational Mathematics, reprinted with permission and this review appears on Amazon
Displaying 1 of 1 review