Geometry

  Author:    Ray Jurgensen, Richard G. Brown
  ISBN:    0395977274
  Sales Rank:    715
  Published:    2000-01-01
  Publisher:    Houghton Mifflin College Div
  # Pages:   
  Binding:    Hardcover
  Avg. Rating:    4.0 based on 31 reviews
  Used Offers:    51 from $56.71
  Amazon Price:    $62.91
  (Data above last updated:  2008-08-29 02:55:49 EST)
  
  
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Geometry
  
                  Reader Reviews 1 - 24 of 24                 
  
  
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06-01-08 1 2\3
(Hide Review...)  Very Confusing and ill-organized
Reviewer Permalink
I used this book for my tenth grade geometry class. At first glance it seems to have helpful examples and explanations, but the author actually only explains a few of the postulates and theorems. Many explanations towards the end of the book are very short or just not given as if the author grew lazy. It has plenty of practice problems, but little to no preparation for them. It was a blessing that i had the internet to help me otherwise i never would have passed. Hope that your teacher knows the course thoroughly, or else this class will be a nightmare for you.
(Review Data Last Updated: 2008-08-27 03:03:10 EST)
02-01-08 4 2\2
(Hide Review...)  A good introductory textbook
Reviewer Permalink
This book is not Euclid's "The Elements". The Elements, a compilation of many mathematicians' work, was written for mathematicians and their math-dedicated young disciples. Its opening proposition and complex figure reveals that the reader was expected to have a substantial degree of preexistent geometry knowledge.

To reach high school students who have only completed Algebra I, Jurgensen et al labels some theorems postulates to avoid getting bogged down, but so do the other high school geometry textbooks.

This book fulfills its mission to introduce students to a formal system of mathematically analyzing planar figures and objects. If it is carefully read and digested, every problem, including the most-challenging C and C-starred exercises, is solvable. Problems that require the student to write a half-dozen solution/proof statements, and remember (or refresh themselves by re-reading) material from prior sections, and even prior chapters, are commonly encountered (always for the C-level problems).

A small number of exercises require a dozen or so statements in which a student establishes one line of argument, then introduces another, and finally combines them, which is to say, students must be able to organize their thoughts into coherent streams, and then engage in translating visuo-spatial information into mathematical-language statements.

Is this hard? Yes. It takes not only intelligence, but serious effort to fully benefit from studying Jurgensen. Real math isn't something you breeze through. As a student encountering the material for the first time, you may frequently have to read a passage or statement several times, thinking, "I don't get this," then maybe even sleep on it, and then you'll have Eureka moments, "Oh yes! Why didn't I see this before? This is so obvious."

For anyone who wants to think about pursuing university studies in mathematics, engineering, and the sciences, acquiring diligent, persevering work habits is essential. Mathematics is not social studies. For some students the challenge is enjoyable, for others it is painful and a "waste of time". For teachers who find that their students can only consistently answer A-category problems, hit or miss on Bs, and can't even begin to tackle Cs, this book will probably not be satisfactory.

A larger question is when should Euclidean geometry be taught? Should it be taught at all?

I think it is disruptive, and counterproductive to teach algebra I, leave the subject for a full year to study geometry, then jump back to algebra. The trouble is that the "classical" curriculum of the 19th century only taught one course in algebra and then one course in geometry. But as mathematics education was extended, particularly during the Cold War, geometry held its place as the second course in the timetable, but was followed by additional algebra, pre-calculus and calculus, with insufficient thought given to the utility and efficiency of this particular sequence.

Measures such as focusing on analytical geometry (coordinate) exclusively, or nearly so, or teaching algebra II with trigonometry before Euclidean geometry, have been tried in some schools. I know of two schools that no longer even have a "Geometry" titled class. These and other alternatives seem to be working, according to people who are using them.

One thing I would point out is that most state high school graduation requirements today specify the completion of three mathematics units, and many universities require or recommend such. They DO NOT say "three mathematics courses, including geometry". So, for example, if a student is doing well in algebra, I'd say to him or her, stick with it. Go on to algebra II (preferably with trigonometry), precalculus and calculus. Learn about plane figures and solids from a modern perspective. (I can still remember generating the volume of a sphere using integration, and drawing a nicely shaded 3D sphere and discs thirty-something years ago in my second semester of calculus. I thought, "Wow, this is cool!")

So, I think schools should be flexible in their math curricula, and realize there is not a college or university in the country that will ever look at an applicant's transcript and say, "This student took AP Calculus, but there's no 'Geometry' here. Rejection."

If this book is to be used, I would recommend a couple stratagems. One is to for the student to try to prove its theorems before examining the authors' proofs. It's not hard to cover them up with a sheet of paper. This encourages students to acquire conceptual knowledge through active pursuit.

Secondly, students using Jurgensen or most other popular geometry books should subscribe to hotmath.com, where odd-numbered exercises solutions are presented in a thoughtful way, starting with a hint, then progressively revealing steps as the student feels the need to examine them for more help.

There was initially a mixed reception among educators to Hotmath, with some teachers enthusiastically signing up to provide solutions, while others were discomfited by an external knowledge resource that they felt undermined their ability to maintain traditional authority-control over what their students learned.

The disagreement was resolved. The American Mathematical Society invited Hotmath's president to give a lecture at one of its regional conferences several years ago, which was well received. All the leading textbook publishers got on board, which is to say, they recognized that the college-level promulgation of student solutions manuals starting two decades ago had proven to be heuristically sound, and the principle was applicable to college-preparatory mathematics.

For even-numbered exercise homework assignments, students can usually tackle the neighboring odd-numbered ones, check the Hotmath solutions, then apply the same principles to their homework problems.
(Review Data Last Updated: 2008-06-02 02:47:41 EST)
01-10-08 5 (NA)
(Hide Review...)  I love this book
Reviewer Permalink
I have taught Honors and College Prep Geometry with this book (and its previous edition) for sixteen years.
This year I tried a different book with one of my classes. I am begging to go back to this book.
This book does not have all the 'bells and whistles' of new Geometry textbooks. It doesn't need them. My new textbook has powerpoint presentations, lesson planners, CD ROM testbanks, etc. Guess what? You can have them. They don't present lessons in any manner I would present them, and the test banks don't test the content of the chapter. In addition, I prefer to supplement lessons with my own real life examples and further explanations, not 'canned' material that is found in my current text and its technology.
A good teacher can take this book and raise the bar for academic excellence. No fluff, nothing watered down.
Newer is not better.
I know my students were given a mental workout-challenged themselves- and understood Geometry when I used this book. My classes will be going back to this book soon.
To the reviewers who say there aren't enough examples, that's the point! Geometry is about developing a skill. You can't build a skill if everything is given to you. Push yourself a little harder, don't be afraid to fail, and ask questions. That's how you learn.
The one con is that test questions are not available on a modern CD ROM, eliminating the need to cut and paste (and not giving the ability to change test versions with a click of a button).
Still, the test questions supplied are fantastic.
(Review Data Last Updated: 2008-02-02 02:53:47 EST)
09-27-07 5 (NA)
(Hide Review...)  Quick & Easy
Reviewer Permalink
I usually don't order my son's textbooks from Amazon because I fear that they may arrive late since I don't know exactly who is sending them when I ordered used, however, this was so quick and easy and arrrived in 2 days!
(Review Data Last Updated: 2008-01-11 03:03:47 EST)
09-10-07 5 (NA)
(Hide Review...)  Great Service
Reviewer Permalink
Received the book as described and in the time indicated.

Thanks and building confidence to purchase from the site again!
(Review Data Last Updated: 2007-09-28 02:50:58 EST)
04-26-07 4 4\4
(Hide Review...)  4 1/2 stars - challenging math book
Reviewer Permalink
First off, I noticed that alot of people said they couldn't understand any of the problems. That may be true, but as long you read everything, it should be no problem at all. Besides, this book is recommended for honors math students, so it's supposed to be slightly challenging.



Pros- the book is well designed, end of every chapter has review notes, summary notes chapter tests, and sometimes cumulative exams as well as preparing for college entrance exams. Every section usually begins with some theroms, and they show you how the prove them. THe back of the book has all the definitions, theroms, postulates and test answers. Challenging in a fun way. The cover is also pretty durable



Cons- may be too challenging for the average student.
(Review Data Last Updated: 2007-09-07 02:50:24 EST)
04-26-07 4 4\4
(Hide Review...)  4 1/2 stars - challenging math book
Reviewer Permalink
First off, I noticed that alot of people said they couldn't understand any of the problems. That may be true, but as long you read everything, it should be no problem at all. Besides, this book is recommended for honors math students, so it's supposed to be slightly challenging.

Pros- the book is well designed, end of every chapter has review notes, summary notes chapter tests, and sometimes cumulative exams as well as preparing for college entrance exams. Every section usually begins with some theroms, and they show you how the prove them. THe back of the book has all the definitions, theroms, postulates and test answers. Challenging in a fun way. The cover is also pretty durable

Cons- may be too challenging for the average student.
(Review Data Last Updated: 2007-09-10 20:19:58 EST)
02-14-07 5 9\10
(Hide Review...)  Wonderful text
Reviewer Permalink
I am a physician with an undergraduate degree in math and some graduate work in math, as well. Having elected to reenter the world of mathematics after thirty years, I found this text a wonderful exposition to geometry. I did read this after watching a course on geometry published by The Teaching Company, which was quite good as well.
(Review Data Last Updated: 2007-06-25 10:53:13 EST)
11-07-06 5 0\17
(Hide Review...)  PERFECT
Reviewer Permalink
The book is in PERFECT condition. Also, I received it in just a few days.
(Review Data Last Updated: 2007-06-25 10:53:13 EST)
08-16-06 4 0\14
(Hide Review...)  geometry key
Reviewer Permalink
Helpful to check students work. Package arrived on time in excellent condition.
(Review Data Last Updated: 2007-06-25 10:53:13 EST)
08-03-06 5 17\17
(Hide Review...)  From a student.
Reviewer Permalink
I had to use this book for a UW Independent Learing course because I failed the geometry course offered at my school. It is a great book for talented student that are planning to take more advanced math courses.
When I started the book, it was difficult to follow; (there are very few examples, and a firm grasp of number operations and algebra is needed). But as I moved from one chapter to the next, I developed the skills neccesary to solve difficult geometry problems. I not only learned the content of the book, I also learned how to approach geometry problem with not-so-obvious solutions, and identify certain types of problems quickly. Geometry portions of standerdized tests are now a breeze for me.
I agree that there are too few examples in the book, but as a student develops his problem solving skills, he won't need examples!
My advice for those students who are struggling with a problem is to take a short break and review the parts of the book already read. The book is extremely well integrated, and a student needs to keep in mind what he learned in previous sections.
It is no surprise to me that most teachers really like the book. Most books teach the theorems and postulates, and then give an erormous amount of problem that are essentially the same. They use repition rather than teach critical thinking.
I feel priviliged to have learned from this book. I am a step ahead of my classmates. Awsome book.
(Review Data Last Updated: 2007-06-25 10:53:13 EST)
08-02-06 5 (NA)
(Hide Review...)  From a student.
Reviewer Permalink
I had to use this book for a UW Independent Learing course because I failed the geometry course offered at my school. It is a great book for talented student that are planning to take more advanced math courses.
When I started the book, it was difficult to follow; (there are very few examples, and a firm grasp of number operations and algebra is needed). But as I moved from one chapter to the next, I developed the skills neccesary to solve difficult geometry problems. I not only learned the content of the book, I also learned how to approach geometry problem with not-so-obvious solutions, and identify certain types of problems quickly. Geometry portions of standerdized tests are now a breeze for me.
I agree that there are too few examples in the book, but as a student develops his problem solving skills, he won't need examples!
My advice for those students who are struggling with a problem is to take a short break and review the parts of the book already read. The book is extremely well integrated, and a student needs to keep in mind what he learned in previous sections.
It is no surprise to me that most teachers really like the book. Most books teach the theorems and postulates, and then give an erormous amount of problem that are essentially the same. They use repition rather than teach critical thinking.
I feel priviliged to have learned from this book. I am a step ahead of my classmates. Awsome book.
(Review Data Last Updated: 2006-08-16 02:39:45 EST)
06-04-06 5 14\16
(Hide Review...)  This is the Absolute Best Book Available in America Today
Reviewer Permalink
This book is extremely well thought out. The problems range from very accessible to very challenging. The book is thorough and teaches Geometry in the way that it should be taught, with a rich mathematical foundation and many opportunities for students of all abilities to learn to think criticlly. The Teachers' resource materials are excellent. There are two sets of tests, one more accessible and one more challenging. The Reteaching and Practice resource is an excellent source of class work handouts. To me this book is just as fine as the Algebra 1 book from the same series.To the best of my knowledge, this is the best book currently available in the United States. Students who are lucky enough to use this book, will be well prepared for standardized testing.
(Review Data Last Updated: 2007-06-25 10:53:13 EST)
06-03-06 5 3\4
(Hide Review...)  This is the Absolute Best Book Available in America Today
Reviewer Permalink
This book is extremely well thought out. The problems range from very accessible to very challenging. The book is thorough and teaches Geometry in the way that it should be taught, with a rich mathematical foundation and many opportunities for students of all abilities to learn to think criticlly. The Teachers' resource materials are excellent. There are two sets of tests, one more accessible and one more challenging. The Reteaching and Practice resource is an excellent source of class work handouts. To me this book is just as fine as the Algebra 1 book from the same series.To the best of my knowledge, this is the best book currently available in the United States. Students who are lucky enough to use this book, will be well prepared for standardized testing.
(Review Data Last Updated: 2006-08-05 03:09:34 EST)
04-22-06 5 5\7
(Hide Review...)  This is the Best Book Currently Available.
Reviewer Permalink
I taught geometry for five years. I taught with this book and tutored in a neighboring district with the Larson book so I am uniquely and extremely familiar with both books.

The Jurgensen book is superb. The exercises are well thought out and carefully take each level of student through the necessary thinking processes to thoroughly learn each concept. The challenge problems in the C (third) section of the Exercise Sections are perfect for the most capable students. Students who learn with this book will not only have learned geometry but will have honed their critical thinking skills and be well prepared for subsequent math and science courses and for the various standardized tests that they are required to take. I honestly feel sorry for the students who are using some of the other newer books. Those kids will not be competitive with the students who are using Jurgensen. The other texts simply omit the real critical thinking types of problems, even those that are doable for the average high school math student. And the school districts that choose these more "accessible" texts are just setting their students up for future mediocrity. My only thought is that the school district textbook committees simply want to get kids through their courses without parents complaining about grades. There is no other explanation.
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
03-24-06 2 4\9
(Hide Review...)  High Gloss
Reviewer Permalink
A nice looking book! However, no real substance. It seems to want to demonstrate how innovative one can be rather than truly teach Geometry in a realistic setting. You be the judge.
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
02-08-06 5 9\9
(Hide Review...)  An excellent book for an honors course
Reviewer Permalink
This is an awesome book for an honors geometry course. The material is presented in a logical manner. Proofs are emphasized early and often. Homework problems have a wide range of difficulty from easy to prep school challenging. If you are a teacher teaching a non honors course, this is a great resource book for finding problems to challenge your top students.

I do not recommend this book for non honors courses. If you're interested in a non-honors Geometry text, check out Larson's Geometry. There are tons of examples with clear, lengthy explanations. Perfect for the kid who can not handle a rigorous, proof based honors course.

I taught honors Geometry using this book for three years. My students never had trouble doing the 15 or so problems I assigned per night.

In the age of watered down school textbooks, Jurgenson's Geometry is the exception.


(Review Data Last Updated: 2006-07-07 04:21:29 EST)
01-05-06 1 4\5
(Hide Review...)  Big disappointment
Reviewer Permalink
My fifteen year old is using this book in LAUSD high school so I was confident that a book by an old Exeter professor would be more than adequate. I was wrong. Had Brown walked into an Exeter classroom with this book thirty-five years ago we would have nailed him spread eagle to a Harkness table. I bought my kid a copy of Weeks and Atkins, the book used by my prep school teacher Arthur Weeks and Brown himself when he taught at Exeter.
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
11-17-05 1 4\7
(Hide Review...)  o my gosh
Reviewer Permalink
THIS ISNT EVEN FUNNY! i swear... every other problem is answered in the back of the book, (the odd ones) and its like i have to search back there every time... most of the time i cant even finish the problem. this book is so confusing, i would pay $500 for a new one... this SUCKS
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
11-17-05 1 8\13
(Hide Review...)  this is the worst
Reviewer Permalink
this is the worst math book ive ever tried to use.... every single assignment i dont understand until 3 days after... this book is so confusing its not even funny.

:( and i used to think math was fun
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
10-07-05 1 8\11
(Hide Review...)  This book is awful
Reviewer Permalink
I tutor and this is the worst Geometry textbook I've had to use. Geometry is a new branch of mathematics to most students and can be difficult to comprehend. This book only makes it worse. The lack of examples and clear explanation is very frustrating. I empathize with any student forced to endure this text.
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
08-12-05 1 14\17
(Hide Review...)  Geometry isn't a necessary course
Reviewer Permalink
i've about had it with this textbook. i've been teaching high school geometry for the past 12 years and i just don't understand why most high schools use this book. first off, the author does a terrible job of explaining new theorems and proofs, and cannot convey the concept to the student. i've had my students complain to me numerous times about how this book is unclear for exercises, and believe me, i teach some soon to be national merit scholars. the worst thing in this book is the fact that problems go on FOREVER. what i mean by this is that almost every problem has an a, b, c, d, e, and f to them. that means when i assign problems 1-11 odd for homework, it will take my students about 2 hours to do it. forget it, whoever will buy this textbook is simply out of their mind. instead, i like to teach geometry's theorems, postulates, proofs, and reasoning online at [...] or geometry the easy way, a terrific study guide.
The last thing i'd like to say is that there is some false information in this textbook. if you would take a look at chapter 14, transformations, it is stated on page 602 that an isometry is a conic mapping. that is absolutely false; the entire book is a joke. DO NOT WASTE YOUR MONEY ON THIS TEXTBOOK, I REPEAT: DO NOT WASTE YOUR MONEY ON THIS LIE.
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
07-31-05 1 10\14
(Hide Review...)  Math was never so annoying...
Reviewer Permalink
I don't believe there is anything wrong with the subject of Geometry. However, the author of this textbook is extremely stupid. Firstly, there are only about 3 examples per section for a total set of up to 40 problems. The examples are also easy problems. However, I often got lost on the harder problems because there were no examples! The problems in this textbook also take forever (and I mean FOREVER), because each problem has a part a, b, c, d, e, f, and almost the entire alphabet! We also don't need an author using complicated vocabulary in this textbook. I mean, we still get the concept, don't we? Just to inform everyone, this book will cost you $80 of a nightmare when you see some of the problems like this: 1. a. If Bob walked 3 km, and Lucy walked 6 km, and they walked in inverse order, how far was the total kilometers of their walking?
b. Given: Triangle ABC ~ Triangle DEF Prove: Leg squared equals side cubed.
c. What is this all about?
d. How do you know?
e. Justify your answer for part (a).
f. You're still not done!!!
(Review Data Last Updated: 2006-07-07 04:21:29 EST)
07-01-04 5 6\7
(Hide Review...)  The Best!
Reviewer Permalink
I used this book for a semester geometry course (covering Chapters 1 through 13), and it was marvelous! Besides the fact that there are no typographical errors, the book flows logically from one chapter to the next. In addition, its early introduction of proofs guarantees a successful continuation and comprehension of the essence of geometry. Moreover, the lettered exercises at the end of each section go from easy to difficult--allowing for a gradual increase in skill. Finally, the logic appendix at the end is a great introduction to proofs and to the mathematical field of logic.
(Review Data Last Updated: 2006-01-05 12:43:50 EST)
  
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