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GeometryFrom Brand: W.H. Freeman Company
Download PDF GeometryFrom Brand: W.H. Freeman Company
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Jacobs' highly successful, distinctive text was revised on the basis of users' comments and ten years of classroom experience - perfecting an already acclaimed approach to teaching geometry. "...the book concentrates on making the formal treatment of geometry both attractive and accessible..." The Mathematical Gazette Supplements: Teacher's Guide/Test Masters/Transparency Masters
- Sales Rank: #329605 in Books
- Brand: Brand: W.H. Freeman Company
- Published on: 1986-12
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 1.28" h x 7.86" w x 10.23" l,
- Binding: Hardcover
- 668 pages
- Used Book in Good Condition
Most helpful customer reviews
34 of 35 people found the following review helpful.
Incredible!! A rare textbook that does not depend on a competent teacher
By College Student
I picked up this book just as a supplement before my freshman year in high school, and it ended up leading my entire geometry honors education, way ahead of my teacher and my school-assigned textbook. In the last 7 years, I have not had a textbook that teaches math in such a logical, clear, and light-hearted way, while maintaining the discipline and rigor of a formal mathematics training.
I am now a senior in college, and have taken several rigorous mathematics courses in Analysis, Multivariate Calculus, and Linear Algebra, and the experience of self-studying from this textbook still stays with me. Before I learned from this book, I thought I was completely unskilled and incompetent at math, and quite frankly, math scared me. I realized later that student achievement in math is highly dependent on both a great textbook and great instruction, and not some mystical "math gene". I want to thank Harold R. Jacobs for writing math the way it should be done; if math were taught like this in all our public schools, it would truly revolutionize U.S. education in math and science. It puts an important emphasis at understanding the basics of proofs and geometry, to the point where you can relate it to logical phenomenons in your everyday life... to a point where it becomes second nature and just not another theory to memorize. This is a very Eastern method of math education, prevalent in Chinese and Russian classrooms, which may be what U.S. education reform needs. It is an incredibly powerful way to educate math. When the fundamentals are mastered at a deep level, the book challenges you to a wide variety of problems, which instead of being daunting (which is the norm for a math course), they are incredibly satisfying to solve. This book actually teaches thinking and logic, not just material.
AS A COMPARISON TEXTBOOK: Geometry for Enjoyment and Challenge by Richard Rhoad, George Milauskas and Robert Whipple was the was assigned for my geometry honors class, and it is incomparable to Harold's book. Geometry for Enjoyment used proofs that were incredibly circuitous that I often wondered if the authors purposely lengthened the lines of their proofs just to add more pages to their book. My dad (a former math professor) and I caught a couple logical errors or typos in Geometry for Enjoyment that should not have been made by the authors. 3 weeks into my Geometry Honors class I stopped even looking at their solutions to geometry proofs, because once they reached proofs of moderate or advanced level, 90% of the time the steps were roundabout and overdone, to the point of illogical. Instead, I would reference Jacobs's textbook for proofs to similar problems.
The same proof in Jacobs's textbook took half the amount of steps, and used the most logical and powerful path, which really are quite beautiful in comparison to the textbook the high school assigned to me. Occams razor exists as profound philosophy in science & math for a reason, and Jacobs embodies that!
Another great thing about Harold's textbook is that it has very light-hearted and entertaining application problems. One segment that I love is in the beginning, there is an illustration of the Mad Hatter and his friends having tea with Alice, commenting on how it's an incredible logical fallacy "to say what you mean" with "to mean with you say." I've forgotten the entire quote, but it was very entertaining. Most high school math textbooks have application problems about climbing ladders and filling concrete in some giant cylindrical container, or some other oversimplified version of an industrial building project. What high school-er finds that fun?? I would much rather solve problems about Euclid in comic-form or of Alice venturing in wonderland. Basic geometry is incredibly abstract, so it only makes sense to apply it in a profoundly simple and fantastic setting.
If I ever teach geometry in the future, this is my textbook of choice! The best for self-study and classroom education!
22 of 22 people found the following review helpful.
Taught Classes With it Several Times, Fabulous for Home-Schoolers
By D. G. Frank
As the other reviews show...this book is not only lucid and brilliant, but quite accessible. I've taught classes with it starting in Jr. High with gifted youngsters and with homeschoolers starting in the 6th grade.
I regularly recommend this book to homeschool moms because it is not intimidating, and they invariably enjoy it.
Also, this is PURE geometry, untainted by algebra. Probably the first and only time most students have to learn logic and the structure of argument.
A no brainer. This is the best geometry book I've ever seen, hands down.
0 of 0 people found the following review helpful.
Five Stars
By sheila
Works great for high school geometry...happy with the curriculum.
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