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Prealgebra, 2/E
Tom Carson, Columbia State Community College

ISBN-10: 0321237366
ISBN-13: 9780321237361

Publisher: Addison-Wesley
Copyright: 2006
Format: Paper; 768 pp
Published: 02/10/2005

This item has been replaced by Prealgebra, 3/E .

Prealgebra, 2e, is a book for the student. The author’s goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental math students often have never developed nor applied a study system in mathematics. To address these needs, the author has framed three goals for Prealgebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm.

 

The author's writing style is extremely student-friendly. He talks to students in their own language and walks them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the “monkey-see, monkey-do” approach that some books take. The second edition has been revised to include an increase in mid-level examples and exercises. In addition, the explanations and annotations are now more concise, yet keep the ever-important thoroughness that is the Carson style.  

 

 

  • Study System A study system presented in the To The Student section in the front of the text is reinforced as students progress through the book through the use of color-coding for taking notes and Learning Strategy boxes. The color codes are consistent in the text itself: red for definitions, blue for procedures, rules, and things to remember, and black for notes and examples.
  • Learning Styles A Learning Styles Inventory is presented at the very beginning of the text to help students assess their particular style of learning. Throughout the text, students will see Learning Strategy boxes (see "New to This Edition") that serve as reminders that tactile, visual, and auditory learners all learn and retain material in different ways, so they should make every effort to utilize a variety of methods until they grasp the concept at hand.
  • Polynomials are introduced early and intuitively (Ch. 3) so that students become familiar with this crucial topic early on and can continually reinforce their understanding throughout later chapters.   This material can be covered later if desired, or not at all.  
  • Connections Connection boxes are designed to bridge concepts and ideas that students have learned elsewhere in the text so they see how the concepts are interrelated and build on each other.
  • Problem Solving Outline A 5-step problem-solving outline is introduced early in the text and at every application example throughout the rest of the text follows the steps given in this outline in order to model the problem-solving process clearly.
  • Margin problems are given for nearly every example in the text so that students can immediately practice what they have just learned. Answers to the margin problems are provided at the bottom of each page so students can assess whether they are ready to move on or not.
  • Warning Boxes Warning boxes alert students to common mistakes and false assumptions that students often make and explain why these are incorrect.
  • Of Interest Of Interest boxes are positioned throughout the text to offer a unique flavor to content that some students might otherwise consider ho-hum mathematics. Sometimes containing trivia and other times historical notes, Of Interest boxes are designed to enhance the learning process by making concepts fun and interesting.
  • Puzzle Problems These mathematical brainteasers appear at the end of selected exercise sets to encourage creative and critical thinking. These problems often have no formulaic approach to their solution.
  • Calculator Notes The relevant functions of calculators are explained and illustrated throughout the text in optional Calculator Notes. In addition, an occasional calculator icons in the exercise sets indicates which problems can be solved using a calculator, but a calculator is not required.
  • Review Exercises Since continuous review is important in any mathematics course, this text includes review exercises at the end of each exercise set. These exercises review previously learned concepts not only to keep the material fresh for students, but also to serve as a foundational review for the discussion in the next section.
  • End of chapter A thorough summary at the end of each chapter provides defined key terms referenced by section and page number, a two-column summary of key examples, review exercises of varying types, a practice test, and a cumulative review.

  • New! Learning Strategies Learning Strategy boxes appear where appropriate in the text to offer advice on how to effectively use the study system and how to study specific topics based on the student's individual learning style.
  • New! Additional Exercises The number of exercises and applications have been increased. In addition, new warm-up exercises have been added to the beginning of all exercise sets.

Note: Each ends with a Summary, Review Exercises, and a Chapter Test.  Starting with Chapter 2, each chapter also ends with a Cumulative Review.

 

 

Preface
To The Student
What Is Your Personal Learning Style?

Chapter 1.   Whole Numbers

Introduction to Numbers, Notation, and Rounding
Adding, Subtracting, and Solving Equations with Whole Numbers
Multiplying Whole Numbers and Exponents
Dividing, Square Roots, and Solving Equations with Whole Numbers
Order of Operations
Variables, Formulas, and Solving Equations
More with Problem Solving and Applications


Chapter 2. Integers

Introduction to Integers
Adding Integers
Subtracting Integers and Solving Equations
Multiplying, Dividing, and Solving Equations with Integers
Order of Operations
Applications and Problem Solving


Chapter 3. Expressions and Polynomials

Evaluating Expressions
Introduction to Polynomials
Simplifying Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials

Prime Numbers and GCF
Introduction to Factoring
Applications and Problem Solving


Chapter 4. Equations

Equations and Their Solutions
The Addition/Subtraction Principle of Equality 
The Multiplication/Division Principle of Equality
Translating Word Sentences to Equations
Applications and Problem Solving


Chapter 5. Fractions and Rational Expressions

Fractions, Mixed Numbers, and Rational Expressions
Simplifying Fractions and Rational Expressions
Multiplying Fractions, Mixed Numbers, and Rational Expressions
Dividing Fractions, Mixed Numbers, and Rational Expressions
Least Common Multiple
Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions.
Order of Operations and Evaluating and Simplifying Expressions
Solving Equations


Chapter 6. Decimals

Decimals and Rational Numbers
Adding and Subtracting with Decimals and Solving Equations
Multiplying Decimal Numbers; Exponents with Decimal Bases
Dividing and Roots with Decimals
Order of Operations and Applications in Geometry
Solving Equations and Problem Solving


Chapter 7. Ratios, Proportions, and Measurement

Ratios, Probability, and Rates
Proportions
American Measurement
Metric Measurement
Converting Between the American and Metric Systems
Applications and Problem Solving


Chapter 8. Percents

Introduction to Percent
Translating Percent Sentences Word-for-Word
Translating Percent Sentences to Proportions
Solving Percent Problems (Portions)
Solving Problems Involving Percent of Increase or Decrease
Solving Problems Involving Interest


Chapter 9. Statistics and Graphs

Mean, Median, and Mode
Tables, Charts, and Graphs
The Rectangular Coordinate System
Graphing Linear Equations
Applications with Graphing


Appendix: Answers to Odd-Numbered Exercises, All Review Exercises, and All Practice Test Problems
Glossary
Index

 

    Tom Carson's Prealgebra, Third Edition responds to individual learning styles with a complete study system. The system begins with a Learning Styles Inventory and then presents targeted learning strategies to guide students to success. Tom speaks to students in everyday language and walks them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.

  • 032149993XPrealgebra, 3/E
    Carson
    © 2009 | Addison-Wesley | Paper; 792 pages | Instock
    ISBN-10: 032149993X | ISBN-13: 9780321499936
    Brief Description | Buy from myPearsonStore

View a Sample Chapter PDF:

 

Take a closer look Carson Video
Hear Tom Carson explain his approach to teaching Developmental Mathematics
and how he integrates this into his books! Real Player required.

For Prealgebra (Basic Math with very Early Algebra)


  • Trigonometry, 2/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Paper; 272 pages | Instock
    ISBN-10: 0321536304 | ISBN-13: 9780321536303


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