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Re: List of 'good' geometry textbooks
Posted:
Jul 22, 2001 9:48 PM


Thank you for your comments. I hope others read them and think about them. They are right on target.
John Threlkeld Graland Country Day School Denver, CO  Original Message  From: "Walter Whiteley" <whiteley@mathstat.yorku.ca> To: "Alan" <alansagan@hotmail.com> Cc: <geometryprecollege@forum.mathforum.com> Sent: Sunday, July 22, 2001 7:11 PM Subject: Re: List of 'good' geometry textbooks
> I just wanted to day how saddened I am by the proposed constraints > within which a geometry book should be 'good'. > > Formal proof IS a piece of mathematics  but only a piece. > To paraphrase my advisor (Gian Carlo Rota) formal proof is the > mathematics as medicine is to food. > > I hate to see a classroom that tastes like a medicine cabinet rather > that the life of mathematics. It is particularly sad when a rich > and important subject like geometry is pushed into a box of > formal proof. Probably means very little transformations > (probably the key part of applications of geometry) and very > little 3D geometry  at least until the students have been > so saturated in plane games that they have lost touch with > the world they live in. > > Note that, since at least eh 1870's > the very DEFINITION of a geometry has revolved around transformations. > It is within that larger framework that many of the pieces in > Euclidean geometry take on a larger meaning in mathematics. > > I recently saw a paper about testing students in grade 7, 9, 11 > on some pencil and paper exercises about 3D mirror symmetry. > (The kinds of things that are central to say, stereo chemistry.) > Students got WORSE in these exercises as they proceeded through school! > Sad indeed when we teach understanding out of students. There are many > geometry courses which accomplish that sad task. > > Walter Whiteley > York University > > Alan wrote: > > > > Thanks for all your input. Below is a list of geometry textbooks that > > have been recommended as 'good'. These recommendations were based on > > the book being targeted for high school honors/college level and one > > that rigorously covers Euclidian geometry with the major emphasis on > > formal proof. I am planning on reviewing all these books and will post > > my biased opinion rating each book. > > > > If you would like to add a book to the list, feel free! > > > > Thanks, > > Alan Sagan > > > > Here is the list: > >  > > Essentials of Geometry for College Students > > Arnold R. Steffensen, Northern Arizona University > > L. Murphy Johnson, Northern Arizona University > > Margaret L. Lial, American River College > > Publisher: AddisonWesley > > Copyright: 1990 > > Format: Cloth, 431 pp > > ISBN: 0673384195 > > AddisonWesley Pub Co; ISBN: 0201508672 > >  > > Geometry > > by Moise, Downs > > Hardcover (January 1991) > > AddisonWesley Pub Co; ISBN: 0201253356 > >  > > Geometry for Enjoyment & Challenge > > Rhoad, Milauskas, Whipple > > Hardcover (June 1991) > > McDougal Littell & Co; ISBN: 0866099654 > >  > > Geometry > > by Harold R. Jacobs (Editor) > > Hardcover  668 pages 2nd edition (January 1987) > > W H Freeman & Co.; ISBN: 071671745X ; Dimensions (in inches): 1.28 x > > 10.23 x 7.86 > >  > > College Geometry: A Problem Solving Approach with Applications, 1/e > > Gary L. Musser, Oregon State University > > Lynn Trimpe > > Copyright 1994, 528 pp. > > ISBN 0023854502 > >  > > Geometry : Ancient and Modern > > by John R. Silvester > > Paperback (June 2001) > > Oxford Univ Press; ISBN: 0198508255 > >  > Walter Whiteley > Mathematics and Statistics > York University > whiteley@mathstat.yorku.ca > 4167262100 ext 33971



