Dr. Math Gets You Ready for Algebra: Learning Pre-Algebra is Easy! Just Ask Dr. Math! (Paperback)

~ The Math Forum Drexel University (Author), Jessica Wolk-Stanley (Illustrator) "Operations are the arithmetic skills introduced and practiced in elementary school..." (more)
Key Phrases: distributive property, greatest common factor, Clive Dear Clive, Carissa Dear Carissa, Problems of the Week (more...)

Editorial Reviews

Review

Dr. Math Gets You Ready for Algebra is a compilation of actual letters from students who were having difficulties with some of the basic mathematics concepts that are used as a basis for algebra. The questions are answered in detail by math doctors from the Math Forum's "Ask Dr. Math" service. The content of the book is aimed at students in prealgebra or first-year algebra.
The book is well organized; its five sections include fundamental operations, integers, concepts of real numbers, equations with variables, and word problems and real-life situations. The question-and-answer format is excellent, and the explanations are easily read and understood. Also, Web resources for further exploration of concepts are included at the end of each section.
I shared this book with a colleague who teaches prealgebra. She was very impressed and expressed her desire to obtain this book for use in her classes. My first-year algebra students were helped by the explanations of different concepts. This book would be an excellent additional resource in a prealgebra classroom, an algebra I classroom, or for individuals who need extra assistance with basic concepts of algebra.—Janie P. Bower, Hattiesburg High School-Freshman Academy, Hattiesburg, MS 39401. (Mathematics Teaching in the Middle School, Vol. 9, No. 9, May 2004)

The Math Forum’s Dr. Math Gets You Ready for Algebra is a very user-friendly book written with a view to help students make the leap from arithmetic to algebra. It is a well-organized collection of letters from students and answers provided to them by the Math Forum’s "Ask Dr. Math" service. The letters were written by actual students who were having difficulty understanding concepts that are a basis for Algebra. The answers were provided by trained volunteers who were drawn from a pool of college students, mathematicians and teachers in the mathematics community, and referred to collectively as "Dr. Math". The answers are insightful and presented in an elegant and simple manner that makes them accessible to any student.
The book is divided into five parts. Part I begins with interesting questions such as "What is Algebra?" and "How does one start thinking algebraically"? These are difficult questions to answer, but Dr. Math does a very good job of giving simple, to the point, and easy to understand explanations. This part also includes a discussion of variables, exponents, scientific notation, infinity, order of operations, the distributive property for polynomials, etc..
The notion of a variable is explained in different ways, including references to real life situations where the use of variables to represent numbers we do not know yet is crucial. Dr. Math explains how understanding the definition of an exponent easily leads to the various properties of exponents. "He" then illustrates the use of exponents and scientific notation to simplify the process of doing numerical calculations by hand and to express some very large or very small numbers. For instance, it is shown how 1.05¹²⁰ can be calculated by hand with only 9 multiplications.
Infinity is a difficult concept for students to grasp. Dr. Math gives an interesting explanation of infinity, emphasizing that infinity is not a number. "He" then goes deeper to explain how infinite sets are categorized into countably and uncountably infinite, which I’m sure students would find interesting. Dr. Math does an excellent job of explaining that PEMDAS is merely a good convention for the order of the fundamental operations and that you can use different orders of operations and come up with a perfectly consistent mathematical system. To explain why the distributive property for polynomials works the way it does, Dr. Math neatly models multiplication of polynomials after multiplication of numbers so that it looks familiar.
In Part II, Dr. Math explains the concept of integers. A detailed account of how the fundamental operations work with integers is given. To answer the frequently asked question, "Why is a negative number times a negative number positive?", Dr. Math gives several good explanations, as there is no single visualization that works for everyone. This part ends with a discussion of absolute value, along with some practical applications of this concept.
In Part III, Dr. Math introduces students to real numbers. A simple and interesting discussion of why 0.999... = 1 and of what it means for a decimal to repeat forever is given. The concepts of prime factorization, greatest common factor and least common denominator are explained thoroughly. Dr. Math shows how one can approximate square roots by hand by repeated use of division and averages. This leads to a discussion of irrational numbers, including a brief history of π. The authors then help students visualize the relationships between the sets of whole numbers, integers, rational and irrational numbers as subsets of real numbers with the aid of Venn diagrams.
In Part IV Dr. Math explains the importance of being able to solve equations and gives highly detailed step-by-step instructions for solving linear equations. Moreover, a neat explanation of why we can subtract one equation from the other when solving a system of two equations in two unknowns is given.
Part V, the concluding part of the book, aptly discusses applications that demonstrate the uses of numbers, equations and variables. Some of the problems described here deal with ratio and proportion, area and perimeter, distance, rate and time, and rate of work. Students having trouble with distance, rate and time problems would definitely benefit from this section. Dr. Math introduces these concepts with carefully chosen examples and does a great job of explaining some tricky problems posed by students on this topic.
In conclusion, this book cannot be used as a textbook but would certainly be a very good reference for Prealgebra/Beginning Algebra students and teachers. Its unique question and answer format makes it interesting for students to read. The language is simple and explanations are clear and precise. Prealgebra students will be able to read this book by themselves. They will also be able to relate to many of the questions in the book because they are likely to have encountered similar questions during their course. Students who do not have difficulty in understanding prealgebra will also benefit from this book, as it will get them to think more deeply about the concepts and clarify some misconceptions they might have.
This book includes many great questions asked by students, questions which would require some thought on the teacher’s part to answer effectively on the spur of the moment. This makes the book a good reference for prealgebra teachers. Moreover, numerous web resources that provide practice problems, group activities, real life applications etc. have been listed at the end of each part of the book. Instructors could take advantage of these web resources to enhance teaching and learning in the classroom. (Mathematical Association of America Online)

Product Description

From the #1 online math resource for parents, students, and teachers, a question-and-answer book that gets kids ready for algebra

For more than a decade, kids have been writing to Dr. Math at the award-winning Math Forum Web site with questions about their math problems. And the math doctors at The Math Forum have been replying with clear explanations and helpful hints. Dr. Math Gets You Ready for Algebra helps prepare kids for one of the biggest leaps in their math learning experience–the jump from the concrete world of numbers and real objects to the abstract world of letters and symbols. It includes dozens of letters from kids who’ve had trouble understanding the basic math concepts used in algebra, along with answers from top math teachers. Topics covered include basic operations, integers, rational numbers, real numbers, equations in one variable, and much more.

The Math Forum@Drexel, established in 1992, is an award-winning Web site and the most popular math resource for students and teachers in elementary and secondary math courses.

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Product Details

• Reading level: Young Adult
  
• Paperback: 176 pages
• Publisher: John Wiley & Sons; 1st edition (August 1, 2003)
• Language: English
• ISBN-10: 0471225568
• ISBN-13: 978-0471225560
• Product Dimensions: 9.1 x 7.4 x 0.4 inches
• Shipping Weight: 11.2 ounces (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars  See all reviews (5 customer reviews)
• Amazon.com Sales Rank: #29,388 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

45 of 54 people found the following review helpful:

4.0 out of 5 stars Suffering from pre-algebra anxiety? I prescribe Dr.Math, September 15, 2003

By	Sam L. Savage "Author - The Flaw of Averages" (Palo Alto, CA USA) - See all my reviews (REAL NAME)

Dr. Math Gets You Ready for Algebra contains answers to some pithy questions.

What is algebra? The answer starts out: Algebra is like arithmetic, but in algebra some of the numbers have names instead of values.

As another example, It makes no sense to me why someone would replace a number with a letter signed Carissa. The answer is in part Youre doing something a little like algebra whenever you use a pronoun. You could have written this: It makes no sense to Carissa why someone would replace a number with a letter

Or how about: An algebraic expression is like a word or phrase, and an equation is like a sentence.

A successful textbook is easy to TEACH from because it has lots of exercises, and plenty of extra padding in case there isnt quite enough useful content to fill the entire semester. Reading a successful textbook is often like eating sawdust. In contrast, Dr. Math Gets You Ready for Algebra is easy to LEARN from. It is not necessary to read it cover to cover. Instead, I heartily recommend that you keep this book in your medicine cabinet, secure in the knowledge that if your pre-teen comes home with a questions about pre-algebra, you wont be left with a splitting headache.

15 of 17 people found the following review helpful:

5.0 out of 5 stars we love Dr. Math, October 25, 2006

By	Lucy Moore - See all my reviews

Since my son started using BeeStar online math, he often asks questions about math problems. They are more and more challenging to me. This book came in as a big help. Its friendly question and answer format makes it very easy to use. The answers are insightful and presented in an elegant and simple manner that makes otherwise hard-to-explain concepts easy. It not only teaches the conventional math, but also gives you the context and the thoughts behind the principles. My son's math sense is improved significantly since I used this invaluable book. We love it.

3 of 3 people found the following review helpful:

4.0 out of 5 stars Great help for Pre-Algebra!, October 24, 2008

By	P. Meyer - See all my reviews (REAL NAME)

Good reference. Easy format for younger students to understand. Especially the question and answer design of the book.