College Geometry is an approachable text, covering both Euclidean and Non-Euclidean geometry. This text is directed at the one semester course at the college level, for both pure mathematics majors and prospective teachers. A primary focus is on student participation, which is promoted in two ways: (1) Each section of the book contains one or two units, called Moments for Discovery, that use drawing, computational, or reasoning experiments to guide students to an often surprising conclusion related to section concepts; and (2) More than 650 problems were carefully designed to maintain student interest.
Although I applaud Kay's intentions in presenting geometry in this fashion, I think that this book would require an excellent teacher to accompany it. In some ways, I might have predicted this, because to preserve the "discovery," you have to be a little coy about what you are trying to teach...you have to hide the point. The book would be an excellent reference text, as Kay provides the historical context of most of the theorems, and the material is presented in a rather dense format.
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This review is from: College Geometry: A Discovery Approach (2nd Edition) (Paperback)
I guess there really is no good way to approach geometric proofs in college. No matter how you look at it, they are rough. But, I tend to be a positive person, and I feel that there has to be a better way of describing college geometry compared to this book. It's very dry, and even if you read the text line by line, you're bound to get lost. It doesn't help that I don't have a very good professor for this class, but nonetheless, I'm still not very satisfied with the overall layout of this book.
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