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GEOMETRY AND TOPOLOGY BOOKS
Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Wendy, PhD Arnone. By For Dummies.
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5 comments about Geometry for Dummies.
- This book offers a pretty good overview of the subject, and is basically well-written and easy to read, except there are numerous typos, especially in the proofs, which sometimes makes them hard to follow (and hard to trust). She also offers numerous theorems and postulates, followed by a "Translation" into supposed normal English, but frequently her translation is no improvement over the original. So as long as you keep your eyes open for catching her occasional mistakes, it's an OK book.
- I got this book for our son, who home schools and wanted to study Geometry. Since I am mathematically dysfunctional, I ordered it for him.
It's great; easy to understand, fun to use, and full of great humor. He loves it. Maybe when he's done with it, I'll use it myself!
- This is a book written in simple terms and explanations about Geometry. It is not a deep venture into the subject but is meant to be a thought provoking tool to stimulate detuctive reasoning and apply logic to material presnted in this book. This is a starting point for the person who knows very little about Geometry but is going to delve into it.
- Easy read/review of geometry, but so many mistakes in the proofs that it doesn't seem like anyone edited the thing.
- We purchased this book along with the workbook to give my son an extra reference for his geometry class. With few examples in the book to illustrate the concept and no worked out answers in the workbook to see where you may have made a mistake, it was a waste of money for us.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Michael Sullivan. By Prentice Hall.
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5 comments about Algebra and Trigonometry.
- 1)Michael Sullivan (Sr.) is one of the four or five best writers
of math textbooks on today's scene. If you can find a textbook written by him that fits whatever current math course you are in buy the book sight unseen. You will be more than happy that you did. 2)As far as this book is concerned, I used it from chapter 1 to the end (every section of every chapter) and did every problem in the book. I did not have an instructor and I was not enrolled in a course. I used the book to brush up for calculus after being out of school for 20 years. 3)This book is great for a course in college algebra, trigonometry, or precalculus. It serves all three purposes. I know this because after I finished the text and began studying calculus, on my own, I was really able to appreciate how well Sullivan's book prepared me for calculus. 4)The explanations of each concept are clear, not more rigorous than is appropriate for a student at the level of the textbook, but certainly not dumbed down. 5)The problems and questions are well written, comprehensive, and most importantly, instructive. I found that the best question I could ask myself about every problem in the book was "now what is Sullivan trying to get me to see by doing this problem or answering this question". I mention this because this is what Sullivan is really good at; he doesn't spoon feed you. 6)Look, we all want essentially the same things from a textbook. We want clearly written, well illustrated worked out problems that allow us to grasp the concept in question so that we can use it to solve problems and answer conceptual questions. With Sullivan, you get this in great measure. This is a wonderful textbook for both sudents and teachers. It is a great book to learn from and a great book to learn to teach from.
- With the sixth edition of this textbook, Sullivan has made significant strides since the fifth edition of the College Algebra portion. The interval notations used to indicate the regions where the value of a function is increasing or decreasing is so much more clear and concise. In contrast to the former use of frequently displaying number lines with pluses and minuses underneath, in which the readings of them were perhaps more of an exercise for the eyes than for the mind, Sullivan revised this mess using parentheses and brackets to indicate test intervals.
As a teacher, I say that this is not the most user-friendly book for an instructor who teaches one hour college algebra classes three times a week. Oftentimes, for me to quickly get the fundamentals across, I have to paraphrase what Sullivan lays out in many of the sections. The language is often too theoretical for several of my students (Many are in non-technical majors but have to complete college algebra as a last mathematics course requirement), and I have to put the symbolic logic sequences into terms that can cross over to applied mathematics. This is not meant to be a criticism, however. Perhaps the main weaknesses lie in the shortcomings of applied problems, particularly in the sections concerning maxima and minima, and especially in the inequality segments. On a very positive note, however, I will grant that the sixth chapter, which involves logarithms and exponents is quite fascinating. For instance, you have applied problems involving the amount of interest that can be gained after so many years if, say, [money amount]is deposited into an account and accumulates interest at 6% compounded quarterly. Physics problems are also well presented. One interesting tidbit: if you wondered how long it would take for a 300-degree dish to cool down to 100 degrees in an environment that is at room temperature, the formula that can be used, namely Newton's Law of Cooling, is provided. As another example: suppose that a dead animal was discovered in a barn at midnight and its temperature was 80°F° ; the temperature of the barn is kept constant at 60°F; two hours later the temperature of the corpse dropped to 75°F; find the time of death. The formula for this type of problem is also shown. As added kudos, I especially like the intermittent TI-83 calculator tips. The use of technology in mathematics classes is notably increasing in the community colleges. All in all, this is a finer, more updated version, and it is especially recommended for those who want to go beyond the call of duty and discover new ways of applying mathematics to their daily lives.
- The information listed in the "Product Details" section for this book is very misleading. As noted in the other comments, this book is the paperback Student Solutions Manual. It is NOT a hardcover book and the ISBN number is not ISBN: 0130914657 (as listed in the product detail section). This book may prove to be helpful but it was not the book I thought I ordered.
- This book has the solutions for the material presented in the book. The book has helped me alot. The only think I don't like about it, is that the book has to many practice exercises and too many pages.
- I am 55 years old and promised myself that when I became financially able I would relearn Algebra, Trigonometry, Geometry, Calculus I, II,III & IV and ODE skills from start to finish. I am now finished with Sullivan's book I have found the book easy to read and understand. The presenation of the material is well thought out and the abundance of practice problems invaluable. If you are serious about math then this is a great book.
A retired hedge fund manager.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Julie Ellis. By Charlesbridge Publishing.
The regular list price is $7.95.
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4 comments about What's Your Angle, Pythagoras? A Math Adventure.
- This is probably the most enjoyable way I have come across to teach Pythagorean Theorem to my children. It's one of those special books which children will read without realising they are learning a mathematical concept. Highly recommended to teachers and parents grappling with this sometimes difficult topic!
- This is generally a good book about the Pythagorean Theorem. I was disappointed, however, that someone did not catch the gross anachronisms before publication. In the book young Pythagorus travels to Alexandria, Egypt. However, Pythagoras was born (as the book points out) around 569 BC. This predates Alexander the Great by more than 200 years. Of course Alexandria would not have existed before Alexander the Great. Also as Pythagoras' ship approaches Alexandria, you can see the great lighthouse, one of the Seven Wonders of the Ancient World, in the background. The lighthouse wasn't built, however until around 271 BC - even after Alexander's death. I know it's just a fictional children's book, but come on. Our children deserve a little better research.
- I teach high school math and read this book before vacation when the kids aren't keen on "doing math". They LOVE it, especially since they've been using the pythagorean theorem for years.
- I bought this book to read to my 6th grade math class. We had been working on perimeter and area and I was trying to explain the Pythagorean Theorem to them as an introduction to what they would see in 7th grade. Only the "math" minds were really able to get the concept, until I read them the book. The book goes into great detail using fantastic visuals that link well to the story. The kids loved it and many more said they were now able to understand the formula. I'm even planning on showing it to my 8th grade coworker - they were having trouble understanding it as well.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Cindy Neuschwander. By Charlesbridge Publishing.
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5 comments about Sir Cumference and the First Round Table: A Math Adventure.
- My daughter has always had a problem learning Math but reading this book (along with the others in this series) has helped her immensely! The books themselves are a bit young for her but the concepts in them (Pi, Geometry, etc) are explained in a way I think she needed.
I would recommend these to anyone who has a child with problems in math concepts.
- Very cute story and a nice way of using word play to describe geometric vocabulary. Great for an introduction to the concept and as a review for older children.
- My kids (9 and 6) , who are homeschooled, loved this story and it resulted in them being able to instantly recall the proper names of geometric elements and classes (e.g., radius, circumference, obtuse, acute). This is probably due to the clever visual and contextual associations provided. We bought another book in the series right afterward with the same results. Plan to get them all.
- This 32 page children's book tells how Sir Cumference, his wife the Lady Di of Ameter, and their son Radius solve the problems of the king's table. King Arthur and his knights needed to have a council, but there was a problem with the table around which they met. It began as too long; after that was fixed, the table had too few sides, and other tables produced more objections. Geo of Metry makes tables in several shapes before a round table solves all the problems. The illustrations are great, with medieval pageantry and geometric explanations. A few other characters from Camelot appear, such as Sir Lancelot and Sir Gawain.
This is a great book to introduce geometry to the young, making it fun and easy. Shapes and measurements are explained in the quest for the perfect council table for the king and his knights. When the round table is finally found to be the perfect shape, the king names certain measurements after Sir Cumference, Radius, and the Lady Di from Ameter. Very cute!
- Very clever - the story, the characters' names - all of it. Perfect for a grade school student! I bought it for my seven year old and it got a big thumbs up from both him and his dad.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Michael Serra. By Key Curriculum Press.
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5 comments about Discovering Geometry: An Investigative Approach.
- this book makes you think a lot... you have to figure out like EVERYTHING yourself... there isn't even a glossary... its hard to know if you got the answers right cuz there is no answer key... this book is made for really smart ppl...
- I've used an older edition of this book in a high school geometry class. While the hands-on approach may be difficult to those who would rather have the concepts told to them, it allowed me to grasp the subject firmly. By allowing students to figure out different concepts, this book truly facilitates learning.
- This geometry book has thought provoking problems, but that is all that is good about this book. There are many typos and awkward wordings to be found, and even incorrect answers in the teachers edition (my teacher has been correcting answers in his book all year)! This book is also useless without the only conjectures and vocabulary, something that should have been included in an appendix somewhere in this book! If you want to learn geometry, this is not the book to use.
- Excellent condition. I used least expensive shipping so textbook took a while to arrive.
- I had the misfortune of learning geometry from this textbook as a student, and now I have the misforture of teaching from it. I remember hating math as a high school student, and textbooks like these were the culprit. In high school, math was always presented as a set of problem-solving techniques that I had to learn and memorize. I was generally able to solve whatever problems came my way, but it always seemed like a trivial and pointless exercise. Luckily, I had some great college professors who made me realize that math was much more than memorizing algorithms, but a comprehensive logical system grounded in deductive reasoning.
Geometry is the only math course in which rigorous deductive reasoning can be made accessible to high school students -- and not surprisingly, it was the first area of mathematics to be axiomatized (by Euclid). Unlike algebra or calculus, almost all of the theorems and formulas in geometry can be systematically obtained from postulates in a way that is intelligible to high school students; on the other hand, I have yet to see an algebra teacher attempt to prove Cramer's Rule or the Binomial Theorem to their students. The fact that geometry introduces students to a different, mathematical way of thinking is the only justification for maintaining geometry as a standalone math course, rather than integrating it into algebra courses. Otherwise, the "facts" of geometry are nothing remarkable in themselves. So what if opposite sides of a parallelogram are congruent? It wouldn't be that difficult to teach students that "fact" in an algebra class when they're learning about slopes of parallel lines. But what's important is that students understand and see how this fact derives systematically from already known facts.
What does all this have to do with the book at hand? "Discovering Geometry" reduces geometry to the same collection of facts and algorithms that students have been doing in every math class since elementary school. While the problems that Michael Serra devises are occasionally interesting and even clever, he completely misses the point of geometry -- to understand WHY those "facts" are true.
Unlike many critics of this book, I do not have any inherent qualms with the investigative approach to learning geometry. Investigation plays a central role in mathematics, and I applaud the author for giving inductive reasoning its fair shake in this book. But investigation has become more of an ideology than a pedagogical tool in this book. Even my weakest students groan at having to do some of the investigations, whose results they deem obvious. There are simply too many unnecessary investigations, many of which exist only to aggrandize the author's educational philosophy.
As a student, I used the second edition of this book. The author has clearly made significant improvements for the third edition, but there are still serious pedagogical flaws. While Chapter 13 is a valiant attempt at introducing students to the deductive method of geometry, it is too little, too late. High school math classes rarely reach the last chapter, and separating the proofs from the theorems themselves feels artificial and contrived. The author makes another questionable pedagogical decision to area and volume into nonconsecutive chapters, Ch. 8 and 10 -- just so he can prove the Pythagorean Theorem using area in Ch. 9. But if he would only introduce similarity before the Pythagorean Theorem, he would be able to prove the Pythagorean Theorem using similar triangles in a much more elegant and motivated way.
The unorthodox ordering of topics to which I have previously alluded creates problems for even the author. There are many practice problems that require concepts or techniques from later chapters. For example, students are asked to construct a square in Chapter 3 given a diagonal, before either the properties of quadrilaterals (Ch. 5) -- or even the properties of triangles (Ch. 4) -- have been introduced! How students are supposed to "guess" that the diagonal of a square bisects the angles -- I do not know. Furthermore, the first proof in the text is a paragraph proof that the perpendicular bisectors of a triangle are concurrent. I can only imagine the horrified looks on the faces of Serra's students. And these are supposedly students who are having too much trouble with the two-column proofs!
There are outright mistakes in the textbook as well besides the usual typos. On page 333, Serra defines an irrational number as a number whose "decimal form never ends" and a transcendental number as a number whose "pattern of digits does not repeat." So according to his definition, 1/3 would be an irrational number, and sqrt(2) would be a transcendental number -- the former false for obvious reasons, the latter because sqrt(2) satisfies the polynomial equation x^2 - 2 = 0. Moreover, this is something that a reasonably bright high schooler might be expected to know -- much less an ostensibly expert math teacher!
In his manifesto "Tracing Proof in Discovering Geometry," Serra attacks two-column proofs, saying that "so many students fail to master two-column proofs that some teachers are skeptical of claims that all students can learn geometry." While I agree that two-column proofs misrepresent mathematics and make proofs unnecessarily complicated, I'll gladly take them over "Discovering Geometry" any day.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Mark Ryan. By For Dummies.
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2 comments about Geometry Workbook For Dummies (For Dummies (Math & Science)).
- Simple and easy to follow - a great book to work through if you need to learn proofs. Excellent book to help you prepare for the CSET single subject mathematics exam!
- I recomend purchasing and going through the geometry for dummies first. This will only confuse you more if you don't already have a basic understanding. Once the basics are down, this is great practice.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Mario Livio. By Broadway.
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5 comments about The Golden Ratio: The Story of PHI, the World's Most Astonishing Number.
- Highly readable and fascinating book by the well-respected Mario Livio. See http://en.wikipedia.org/wiki/Mario_Livio The book does not require a math background to understand or appreciate. Traces the origins and applications of the golden ratio through time, nature and art. Explores (and generally refutes) myths and misconceptions about the golden ratio. Highly recommended. Fascinating reading. Dan Brown (author of "the DaVinci Code") reportedly loved the book.
- Several years ago I prepared a review for amazon on this book. Since that time there have been many others to contribute. There are those like me who found it fascinating and gave it five stars, others that gave it a 4 or a 3 because they quibbled with the author over some mathematical issues and finally agroup that really hated it and found it boring and gave it only 1 or 2 stars. Some of those in the third group claim to be mathematicians but thought the book had too detailed. I don't see how a true mathematician could not love this book. Here is what I wrote that I still believe.
The book is 253 pages and 10 appendices about a number called the golden ratio. I give it 5 stars. It is a book for mathematicians and non-mathematicians alike. The first question I asked was how can an entire book be devoted to one number. Well Beckman wrote a book about the number pi and certainly that was interesting. There is a lot to say about the geometry of pi and many mathematical and statistical properties it has. Some including the Buffon needle problem are related by Livio in this book. He contrasts pi to the golden ratio (phi) which also has geometric and mystical properties. The quantity pi is a transcendental number meaning it is not the solution of any algebraic equation. On the other hand phi is algebraic as it is the solution to a quadratic equation.
Other strange properties of phi are:
1. If you subtract 1 from it you get its reciprocal
2. Add 1 to it and you get its square
To see the marvelous algebraic and geometric properties of phi you need only scan through the 10 appendices. Scan through the book and the pictures show you the many artistic properties related to phi.
Although algebraic phi is an irrational number. By applying the quadratic formula to its solution (see Appendix 5 in the book) you will see that its solution involves the square root of 5. Pythagoras and his followers in ancient Greece were said to have discovered irrational numbers (a natural consequence when you study right triangles) and hid this knowledge from the populous.
Phi is defined by Euclid as the "extreme and mean ratio". As Livio quotes Euclid " A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser". This leads to an equality of proportions that yields phi=1.6180339887 rounded to ten decimal places.
Livio also discusses the relationship between the ratio and our concept of beauty (i.e. the quality of the perfect face). It is also interesting that in his new book on the impossibility of solving the 5th degree polynomial by radicals Livio relates the Galois theory of groups to concepts of symmetry. There he also attributes our perception of besuty to symmetry.
If you have the time read the book thoroughly. Write a review that adds to what has been said if you like. Or skim through the pages and appreciate the artist properties of phi along with its algebraic and geometric properties. Read about fractals and myths. Enjoy this wonderful book!
- I happened to notice that he says Babylonians found the general solution for the quadratic. General solution of the quadratic was given by Bhaskara. The author has not read Fibbonaci's book. Fibonacci himself said in the preface that he learnt new math from India. Fibonacci numbers were found by Hemachandra. there were many other errors...I would not recommend to my students
- One of the best books I've read. It is an in depth study of the Golden Ratio...the history, purpose, relationship to other concepts. I am intrigued by math, art, and science and found this book very, amusing. You will need a basic understanding of high school math to fully appreciate some of it. Oh, by the way, the author shoots down most other author's claims that the golden ratio has been used in classic architecture and art. Superb job Mario Livio!
- I bought this book with a thirst to know about this number phi. I did learn about the number phi. However a large part of the book was devoted to instances where various people thought the number phi was present but the author spent considerable time developing the opinion or fact that phi was not influencing this or that particular instance. I got REALLY tired of that.
For me, the first chapter and a half or so and the last two chapters were the meat of the matter for my interest. The book was worth it for the last chapter.
I think that the author would have been better to write a book titled "Why Is Mathematics So Effective?" That seemed to be the central question that really drove the author.
I don't regret reading it. I just feel it wasn't really the book I signed up for.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Lawrence S. Leff. By Barron's Educational Series.
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5 comments about Geometry the Easy Way.
- I LOVE this book as the directions are clear! I use this book as a back up to my daughter's classroom instructions as this book is used as reinforcement to her class work! I have not had Geometry in YEARS and I wished I had this book during my own schooling! Buy this book because it is helpful!
- I am using this book to bolster my geometry skills for the GMAT, and this book has been excellent. The only reason why I gave it a 4 stars instead of 5 stars is that I wish it worked out the more difficult problems for you step-by step.
- 30 years after taking Geometry in High School, I started back to college recently to get my degree. Problem: I had forgotten almost everything I had learned 30 years ago, and not only that, but 30 years ago I hadn't really paid much attention and didn't learn the material well anyway. I discovered this book "Geometry the easy way" and it has been excellent. It is extremely well-written and the subject is made simple for almost anyone who desires to learn Geometry, including High School students. Obviously, Mr. Leff knows his subject well, and knows how to explain it the best way possible. I give it my highest recommendation, and I almost never write these reviews, so that's saying a lot from me.
BTW, I tried "Algebra the Easy Way" and was extremely disappointed. I thought that book was terrible because it tried to tell a fictional story along with the material as a way of making it simpler, but it failed miserably with this tactic, at least with me.
- This was a used book, so I had no idea what to expect. The book came as advertised, slightly worn, but no markings inside or out. Since I wanted the book for an aide in tutoring my grand daughter, it works out well. I was very satisfied with the book.
- I have always sailed through math courses.
I ordered this book to review for my upcoming job teaching HS Geometry
at a new school. I couldn't believe this book! Not only is this NOT the
easy way, but it leaves huge holes in guided practice. Where are the
notes about how to properly work out these proofs? There aren't any. Unless you are good at totally figuring this stuff out by yourself, don't buy this book. There are many typos also, which is a big red flag!
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by George Milauskas and Robert Whipple. By Houghton Mifflin Company.
The regular list price is $99.24.
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5 comments about Geometry for Enjoyment & Challenge.
- When I purchased this used book, I knew it would be an old not
new BOOK, but I received a folder with photo copy papers. I even do not know where to return those unuseful papers. ?????
- I think Geometry for Enjoyment and challenge is an excellent book. Be warned this book is not for everybody because it is challenging, and only a truly motivated student will excel using this book. What I like about this book is that it is not watered down like a lot of Geometry books. The problem with Americas schools are that Geometry Teachers dont teach the subject the right way either by not teaching the material or they teach the students to maximize their test score by regurgitating concepts. This book contradicts several books. This book forces you to think critically like a Mathematician. The best and strongest part of the book are the teaching of proofs (flow chart, Paragraph, and Two-column). Some proofs take 15 to 16 steps.
That is what one of the several things I like about this book, this provides a spark to truly motivated students.
Other strong points are areas of geometric figures, there are problems that involve finding the areas of squares inscribed in circles finding the shaded segment of a hexagon inscribed in a circle. Most geometry books do not have problems of that nature.
One major gripe is that I wish on the solid geometry section, they would put problems involving the areas of a decagonal prism, dodecagonal prism, 20 sided pyramids. Given that this book is easy to say is the most challenging geometry book of all books in America concerning geometry. I wish they would put centimeters, inches, etc. as opposed to units when calculating the perimeter, volume, and surface area.
Other than that it is a great book. I wish this was the standard of geometry books because Americas students need to be challenged, a lot of students want to be challenged. This book does that. In conclusion, this geometry book is the champagne of geometry books.
I enjoyed solving problems from this book on my spare time. I had a horrible experience with a geometry Teacher Named Don Steinke at Fort Vancouver High School in Vancouver, Washington. This idiot could not teach if his life depended on it.
is that most Geometry books try to te
- Don't have others to compare, but is a very good Geometry book for 9th graders.
- This geometry book is not for the weak. Forget about the days of purely computational geometry. This book is all about proofs. I have found myself learning a great deal about geometry, though.
- I purchased a book "Geometry for Enjoyment and Challenge" which was in the worst condition I have seen a book in. The seller does not respect or value books. He claimed it was in acceptable condition but the school wouldn't accept it as a replacment. The seller said he would refund the purchased price and I returned the book but have not received a refund.
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Posted in Geometry and Topology (Thursday, July 24, 2008)
Written by Ron Larson and Laurie Boswell and Lee Stiff. By Houghton Mifflin Company.
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5 comments about Geometry.
- This textbook is more useful for the flashy (and admittedly very good) teacher's ancillaries. But this review is not for the ancillaries. It is for the text itself.
The text's treatment of proofs is very cursory and not rigorous enough. The diagrams for the algebraic problems are too confusing, compiling numerous different concepts into one problem. While I agree that students must learn to differentiate one property/theorem/rule/postulate from another, it doesn't make sense that most, instead of some, diagrams are over-complicated. Personally, I don't like the format with the examples, mainly because it downplays the necessity for students to become LITERATE in math, not just a good "example comparer." The text has little actual TEXT to speak of.
I have not been teaching HS for very long, but I do not like this book. I am not a textbook dependent teacher, but I do (woefully) recognize that students have poor study skills and don't reference notes all the time. I do not teach out of the textbook and I spend many hours planning lessons, lecture notes, my own examples, etc. I had many complaints that the problems were confusing, included too many ideas at the same time, etc. Some may be successful in "teaching themselves" from the examples, but I am very disappointed that textbooks no longer have TEXT. I may be a math teacher, but I understand the importance of reading and how it helps a person to process the material.
On the other hand, the teacher resources is a great set of worksheets, study masters, note taking guides, etc. Perhaps the authors spent more time on those resources instead of the text.
- This is a must have for students that purchased the text book, gives them an opportunity to practice what they learn in the theory.
- As a long time mathematics tutor and teacher I know this book very well. I don't think the material is presented or explained in a way that is especially helpful for young people. As a tutor I have to constantly reintroduce the topic and/or try to stay ahead of the student's class. Beyond that, the students are asked to do only the simplest of proofs. Additionally, a new topic will be introduced and then no problems appear in the exercise portion of the section to help the student test and practice his or her understanding of the newly introduced topic (and of course, those problems invariably will show up on the chapter exam and the final).
Moreover, I think the book just fails the kids. It seems to omit certain standard concepts by being "accessible" and undemanding of even the most minor critical thinking skills. I believe that both of these shortcomings will leave the student unprepared for the challenging problems on standardized tests and on college entrance exams. Not to mention any sort of subsequent advanced work in high school and college. Another thing about the Larson book is that the answers to many of the problems are so arithmetically peculiar that the student has no feeling that maybe they actually got the right answer. Good problems reassure the student that they are on the right track. Also, once a new concept or definition is introduced it is never repeated.
Overall, I think that the more capable students will be shortchanged and misled into thinking that they know more than they actually do and the less capable student might pass geometry but will perform poorly on college entrance exams and be unable to successfully progress in mathematics if they need to do so.
- Our school uses this book for all Geometry classes. The book is quite thorough, but serves the teacher more than the students. The students for the most part don't read it; just use it to find the assigned homework problems.
One glaring weakness is on page 306 where Postulate 7 is proven from Postulate 5 in problem 24. After hammering into my students that postulates cannot be proven, there goes the book proving a postulate!
- Order arrived 2 days later than expected, but I was very pleased with the price I paid and the book was in excellent condition
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Geometry for Dummies
Algebra and Trigonometry
What's Your Angle, Pythagoras? A Math Adventure
Sir Cumference and the First Round Table: A Math Adventure
Discovering Geometry: An Investigative Approach
Geometry Workbook For Dummies (For Dummies (Math & Science))
The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
Geometry the Easy Way
Geometry for Enjoyment & Challenge
Geometry
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