I have used the Rhoad Milauskas Whipple book for years and years in high school. It is light on the logic part, although it has lots of proofs. It pretty much overlooks the parallel postulate and some of the things Hilbert pointed out as being important. It also has virtually no applications.
But, it has by far the best collection of geometry problems of any book I have seen. So, I fill in the missing logic and theory as appropriate, as well as applications here and there, and have the students do many interesting problems every night. If you are unfamiliar with the book, look at the problem set for the chapter where the Pythagorean Theorem is introduced for starters.
-----Original Message----- From: email@example.com [mailto:firstname.lastname@example.org] On Behalf Of mathwonk Sent: Monday, May 21, 2007 6:31 PM To: email@example.com; firstname.lastname@example.org Subject: Re: List of 'good' geometry textbooks
i looked in vain for the promised review of these books. I am a longtime fan of harold jacobs' book, first edition, which my 8 year old enjoyed, and was saddened by the watering down of the 3rd edition, rendering it less fun and less rigorous at the same time!
that is hard to do, but they not only took out much of the wonderful discussion of proofs and logic, enlivened by hilarious rhymes and puzzles from lewis carroll, but also removed many of the witty cartoons, replacing them with unfunny ones, as if not only logic but also cleverness were evil somehow in learning geometry.
So I wanted to know how jacobs' first or second edition compared to whipple, rhoad, milauskas. i am choosing for a college course for students who have been denied a course including logic and proof such as you teach.
so i need to review basic ideas of geometry, plus reinforce proof, and also touch very lightly on some of the logical errors of euclid, but not so as to ruin the fun of the course. (puzzling little things like the fact that harold jacobs does not discuss in the 3rd edition's proof of the concurrence of medians of a triangle, why the point constructed lies outside the triangle instead of inside.)