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Advanced Euclidean Geometry [Paperback]

Alfred S. Posamentier (Author)
4.3 out of 5 stars  See all reviews (3 customer reviews)


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Book Description

1930190859 978-1930190856 July 12, 2002 1

Advanced Euclidean Geometry provides a thorough review of the essentials of high school geometry  and then expands those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions.

The text contains hundreds of illustrations created in The Geometer's Sketchpad Dynamic Geometry® software. It is packaged with a CD-ROM containing over 100 interactive sketches using Sketchpad™ (assumes that the user has access to the program).



Product Details

  • Paperback: 250 pages
  • Publisher: Key College; 1 edition (July 12, 2002)
  • Language: English
  • ISBN-10: 1930190859
  • ISBN-13: 978-1930190856
  • Product Dimensions: 9.8 x 8 x 0.8 inches
  • Shipping Weight: 1.4 pounds
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,246,226 in Books (See Top 100 in Books)

More About the Author

Alfred S. Posamentier (River Vale, NJ) is the dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, NY. He was formerly the dean of the School of Education and professor of mathematics education at the City College of New York. He has published over forty-five books in the area of mathematics and mathematics education, including The Pythagorean Theorem: The Story of Its Power and Beauty; Math Charmers: Tantalizing Tidbits for the Mind; and (with Ingmar Lehmann) Mathematical Amazements and Surprises; The Fabulous Fibonacci Numbers; and Pi: A Biography of the World's Most Mysterious Number.

 

Customer Reviews

3 Reviews
5 star:
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4 star:    (0)
3 star:
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Average Customer Review
4.3 out of 5 stars (3 customer reviews)
 
 
 
 
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33 of 33 people found the following review helpful:
5.0 out of 5 stars A must-have book for every geometry teacher, June 11, 2004
By 
This review is from: Advanced Euclidean Geometry (Paperback)
As a high-school geometry teacher, I have often wished for a book like this. Sadly, the typical one-year geometry course comes to an end just as students are within reach of some truly beautiful and intriguing theorems. Dr. Posamentier's book begins where most high-school geometry textbooks end, and presents many wonderful results that lie just beyond their purview: the nine-point circle; the golden rectangle; the theorems of Ceva, Menelaus, Ptolemy, Pascal, Desargues, and Brianchon; excircles and incircles; cyclic quadrilaterals; and much more. This book provides a rich geometric feast.

There are several books that cover much of the same ground that Dr. Posamentier surveys: GEOMETRY REVISITED, by Coxeter and Greitzer, and EPISODES IN NINETEENTH AND TWENTIETH CENTURY EUCLIDEAN GEOMETRY, by Honsberger, are two of the best. What makes Dr. Posamentier's book stand out is its usefulness as a textbook. Theorems are fully proved, and arranged in a logically coherent sequence. (The book is Euclidean in format as well as in subject matter.)

The book is thoughtfully designed. The pages are large, the type is easy to read, the diagrams are clear, and the book lies flat when opened.

EVERY HIGH-SCHOOL GEOMETRY TEACHER SHOULD HAVE THIS BOOK. It's a rich source of supplementary material for regular sections, and an ideal textbook for the second semester of an honors-level class, or for a student who wants to pursue the study of geometry on an independent-study basis.

I know that I'll be turning to this book again and again next year, and for as long as I teach geometry. In fact, I plan to buy another copy so that I'll have one at home and one in my classroom.

Bravo, Dr. Posamentier, and thank you!
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7 of 9 people found the following review helpful:
5.0 out of 5 stars This book just made teaching the course so much easier!, July 25, 2005
By 
This review is from: Advanced Euclidean Geometry (Paperback)
What an invaluable supplemental resource to have at my side while teaching a course in College Geometry! Although the class text is excellent (Geometry for College Students, by Isaacs), having this as a back-up made all the difference. The explanations are detailed and pitched at a level that students can easily follow, and the (Geometer's Sketchpad) diagrams show all the required information. Having the CD saved me from recreating the diagrams myself for class use. I highly recommend this book to anyone teaching high school or college geometry, or anyone who just wants to advance their knowledge of Euclidean and synthetic geometry.
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8 of 16 people found the following review helpful:
3.0 out of 5 stars Book Good but CD Has no Program - Just Prog Help, October 17, 2005
This review is from: Advanced Euclidean Geometry (Paperback)
I purchased this book that came with "Geometry Sketchpad" CD except CD contained no program file, only help files.

Just a scam to purchase program?

Instructions and program purchase made unclear on website and within book itself.
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Inside This Book (learn more)
First Sentence:
Because the high school geometry course contains many theorems that are not easily remembered, we should take a brief look at some of the more important theorems. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
orthic triangle, interior angle bisectors, reciprocal rectangles, exterior angle bisectors, secant segment, high school geometry course, triangle partitions, escribed circles, cyclic quadrilateral, consecutive sides, drag points, tangent segment, solution triangle, golden rectangle, given triangle, golden ratio, inscribed triangle, third vertex, perpendicular bisector, external segment, acute triangle, circumscribed circle, original triangle, redundant set
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Qroof In Figure, New York, The Geometer's Sketchpad, Giovanni Ceva, Qroof Consider, Euclid's Elements, Leonhard Euler, Qroof Let
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