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Teacher looking for a good geometry textbook
Posted:
Mar 31, 2002 11:21 PM


I read your message with interest. I was not aware that Moise/Downs was out of print. (In fact, someone recently told me that it was still in print.) You probably could not find a better book than this one. I have looked over the one you liked, the Geometry for Enjoyment/Challenge, and found it to have a lack of sufficiently challenging material for the really good students. Maybe I didn't look hard enough.
In my day the great textbook was "A Course in Geometry: Plane & Solid" by Arthur Weeks and Jackson Adkins, from Phillips Exeter Academy (Ginn, about 1961 or 1962). It tried to stake out a middle ground between the really traditional books, and the newer ones that were just starting to use the Hilbert metric and separation postulates. Weeks & Adkins has the finestand most challengingset of problems I have ever seen in a geometry book. I recently learned that someone is still publishing this book, and that a number of schools around the country use it in an honors geometry track. The company is called Bates, and they have a website at batespub.com (I think). Anyone using this textbook today obviously has to supplement it with additional materials in certain areas, but if you want a set of problems (proofs, numerical problems, etc.) that will challenge the very best students, this is it.
If you are not already familiar with it, see if you can locate a copy of "Mathematics Review Exercises" by Smith & Fagan. The last edition of this book was about 1961 (Ginn). This book used to be very popular for review purposes. It is organized by subject matter: algebra, plane geometry, solid geometry, trigonometry, advanced algebra, analytic geometry. It has wonderful (and for the most part, difficult) problems. Some of these might be good materials for your courses.



