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Geometry: Seeing, Doing, Understanding, 3rd Edition, by Harold R. Jacobs
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Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards.� Since its publication nearly one million students have used this legendary text.� Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest.
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This edition is the Jacobs for a new generation.� It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be.� The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
- Sales Rank: #84679 in Books
- Brand: Brand: W. H. Freeman
- Published on: 2003-03-14
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 10.82" h x 1.21" w x 7.80" l, 3.30 pounds
- Binding: Hardcover
- 780 pages
- Used Book in Good Condition
About the Author
HAROLD R. JACOBS
Most helpful customer reviews
68 of 70 people found the following review helpful.
Uncluttered, clear and concise
By W. B. Moskalski
I am a retired chemist who teaches math to homeschooled students. Early in my career I was also a math teacher so I'm fortunate to be able to see how the approach to math has changed over the years. Jacob's book is clear and concise with an enormous number of problems after each lesson. I personally believe math is learned by doing problems. It is the constant application of concepts in solving problems that enables understanding to take place; the problems in Jacob's book reinforce the postulates and theorems by applying them in different situations. The problems are also practical, amusing and interesting which certainly helps to engage students.
The layout of the book is very consistent and well organized developing a pattern which makes it easy to thumb backwards to find previous information. Consistency is important in the learning process.
I think many textbooks today make the mistake of trying to sell the subject to the student with glitz and graphics. I believe this makes those books distracting and confusing. Jacob's approach is to state a few postulates or theorems clearly with a few examples. The problem sets demonstrate their use exhaustively.
I typically assign 150 problems to my students a week. This takes about 45-60 minutes a day. We typically go over the answers and discuss the next topic very briefly. Even if the number of assigned problems is cut in half, the arrangement of the problem sets enables competency to be attained. Of course in the world of today where homework is a thing of the past, many educators believe students need to be seduced with fluff but fluff doesn't drive concepts home. Practice makes perfect still works for me. It is sad to see how other countries have surpassed us by adhering to principals of hard work as hard work will almost always guarantee success.
My only complaint about the book is the slight inconsistency in stating definitions, postulates and theorems. When virtually every geometry text including Jacob's belabors conditional statements, I believe every theorem, etc. should be stated explicitly as a conditional statement. I restate them when they stray and have students consider the converse. I find students naturally restate the theorems more casually anyway.
3 of 3 people found the following review helpful.
My son likes it much better than TT's geometry
By Ash
I also bought the DVDs from another site. I switched from teaching textbooks to this program. My son likes it much better than TT's geometry.
58 of 61 people found the following review helpful.
A good source for high school geometry problems.
By N. F. Taussig
The third edition of Harold Jacobs' geometry text is an engaging, clearly written, and carefully developed introduction to high school geometry that contains many fascinating problems. As is the case in his excellent algebra text Elementary Algebra, Jacobs finds intriguing ways to introduce and explain each concept. The problems, many of which Jacobs culled from the numerous sources that he cites in his footnotes, are well-chosen. They reinforce the concepts taught in the text by placing the ideas in interesting real-life contexts or puzzles, and they also introduce new ideas. What the book lacks are problems in which the reader gets to practice writing proofs. Instead, almost all the proofs in the exercises are ones in which Jacobs provides the statements and asks the reader to provide the reasons. Consequently, this text is not useful if you want to learn how to write your own proofs.
Jacobs begins the text with a discussion of inductive reasoning and its limitations. He uses this discussion to stress the importance of deductive reasoning and proof before introducing Euclid's postulates. Jacobs covers lines and angles, congruence, inequalities, parallel lines, quadrilaterals, and transformations of the plane before a midterm review. Then he covers area, similarity, right triangle trigonometry, circles, concurrence theorems, regular polygons in relation to the circle, geometric solids, and non-Euclidean geometries before concluding with a final review. Each chapter contains a summary and a chapter review in addition to the problem sets at the end of each section.
Jacobs carefully develops the material, proving each result except in the more intuitive discussions in the chapters on transformations, solids, and non-Euclidean geometries. I found the chapter on concurrence theorems particularly fascinating.
The book contains a glossary, a list of formulas, and a list of postulates and theorems, making it useful as a reference. However, concepts discussed only in the problems are not included in these lists. There are answers to a few of the problems in the back of the text, but not enough of them to be useful if you want to check your answers systematically.
I recommend this book as a supplement rather than a text because it contains many intriguing problems but does not teach the reader how to write proofs. Those students who want to learn how to write proofs should consult the rigorous text Geometry by Edwin E. Moise and Floyd L. Downs, Jr.
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