## Description

**Mathematical Reasoning for Elementary Teachers** presents the mathematical knowledge needed for teaching, with an emphasis on *why* future teachers are learning the content as well as *when and how* they will use it in the classroom. The **Sixth Edition** has been streamlined to make it easier to focus on the most important concepts. The authors continue to make the course relevant for future teachers, including the new features like Examining School Book Pages, as well as the hallmark features like Into the Classroom discussions and Responding to Students questions. Activities, classroom videos, and resources for professional development for future teachers are also available at www.pearsonhighered.com/teachingmath

## Table of Contents

**1. Thinking Critically**

1.1 An Introduction to Problem Solving

1.2 Pólya's Problem-Solving Principles

1.3 More Problem-Solving Strategies

1.4 Algebra as a Problem-Solving Strategy

1.5 Additional Problem-Solving Strategies

1.6 Reasoning Mathematically

**2. Sets and Whole Numbers**

2.1 Sets and Operations on Sets

2.2 Sets, Counting, and the Whole Numbers

2.3 Addition and Subtraction of Whole Numbers

2.4 Multiplication and Division of Whole Numbers

**3. Numeration and Computation**

3.1 Numeration Systems Past and Present

3.2 Nondecimal Positional Systems

3.3 Algorithms for Adding and Subtracting Whole Numbers

3.4 Algorithms for Multiplication and Division of Whole Numbers

3.5 Mental Arithmetic and Estimation

**4. Number Theory**

4.1 Divisibility of Natural Numbers

4.2 Tests for Divisibility

4.3 Greatest Common Divisors and Least Common Multiples

**5. Integers**

5.1 Representations of Integers

5.2 Addition and Subtraction of Integers

5.3 Multiplication and Division of Integers

**6. Fractions and Rational Numbers**

6.1 The Basic Concepts of Fractions and Rational Numbers

6.2 Addition and Subtraction of Fractions

6.3 Multiplication and Division of Fractions

6.4 The Rational Number System

**7. Decimals, Real Numbers, and Proportional Reasoning**

7.1 Decimals and Real Numbers

7.2 Computations with Decimals

7.3 Proportional Reasoning

7.4 Percent

**8. Algebraic Reasoning and Connections with Geometry**

8.1 Algebraic Expressions, Functions, and Equations

8.2 Graphing Points, Lines, and Elementary Functions

8.3 Connections Between Algebra and Geometry

**9. Geometric Figures**

9.1 Figures in the Plane

9.2 Curves and Polygons in the Plane

9.3 Figures in Space

9.4 Networks

**10. Measurement: Length, Area, and Volume**

10.1 The Measurement Process

10.2 Area and Perimeter

10.3 The Pythagorean Theorem

10.4 Surface Area and Volume

**11. Transformations, Symmetries, and Tilings**

11.1 Rigid Motions and Similarity Transformations

11.2 Patterns and Symmetries

11.3 Tilings and Escher-like Designs

**12. Congruence, Constructions, and Similarity**

12.1 Congruent Triangles

12.2 Constructing Geometric Figures

12.3 Similar Triangles

**13. Statistics: The Interpretation of Data**

13.1 Organizing and Representing Data

13.2 Measuring the Center and Variation of Data

13.3 Statistical Inference

**14. Probability**

14.1 Experimental Probability

14.2 Principles of Counting

14.3 Permutations and Combinations

14.4 Theoretical Probability

Appendices

A. Manipulatives in the Mathematics Classroom

B. Getting the Most out of Your Calculator

C. A Brief Guide to the Geometer's Sketchpad

D. Resources

Enhance your learning experience with ** text-specific** study materials.

E-Manipulatives CD for Future Elementary School Teachers, Version 2.1, 10th Edition

ISBN-13: 978-0-321-64080-2

$33.33 | Add to Cart

Video Resources on DVD for Mathematical Reasoning for Elementary School Teachers, 6th Edition

ISBN-13: 978-0-321-71650-7

$33.33 | Add to Cart

Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

ISBN-13: 978-0-321-71539-5

$40.00 | Add to Cart

Student Solutions Manual for Mathematical Reasoning for Elementary School Teachers, 6th Edition

ISBN-13: 978-0-321-69386-0

$40.00 | Add to Cart

This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780321810076

Includes this title packaged with:

- Student Solutions Manual for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Calvin T. Long, Duane W. DeTemple, Richard S. Millman

$188.00 | Add to Cart

Package ISBN-13: 9780321786395

Includes this title packaged with:

- Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Dan Dolan, Jim Williamson, Mari Muri

$184.67 | Add to Cart

Package ISBN-13: 9780321810052

Includes this title packaged with:

- IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning

San Diego State University Foundation, Randy Philipp - MyMathLab -- Valuepack Access Card

. . Pearson Education

$200.67 | Add to Cart

Package ISBN-13: 9780321626974

Includes this title packaged with:

- Video Resources on DVD for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Calvin T. Long, Duane W. DeTemple, Richard S. Millman - MyMathLab -- Valuepack Access Card

. . Pearson Education

$201.33 | Add to Cart

Package ISBN-13: 9780321919892

Includes this title packaged with:

- MathXL -- Valuepack Access Card (24-month access), 4th Edition

. . Pearson Education - Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Dan Dolan, Jim Williamson, Mari Muri

$198.00 | Add to Cart

Package ISBN-13: 9780321779458

Includes this title packaged with:

- Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Dan Dolan, Jim Williamson, Mari Muri - When Will I Ever Teach This? An Activities Manual for Mathematics for Elementary Teachers

Sharon E. Taylor, Susie Lanier

$184.67 | Add to Cart

Package ISBN-13: 9780321560612

Includes this title packaged with:

- Student Solutions Manual for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Calvin T. Long, Duane W. DeTemple, Richard S. Millman - When Will I Ever Teach This? An Activities Manual for Mathematics for Elementary Teachers

Sharon E. Taylor, Susie Lanier - MyMathLab -- Valuepack Access Card

. . Pearson Education

$201.33 | Add to Cart

Package ISBN-13: 9780321814081

Includes this title packaged with:

- Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Dan Dolan, Jim Williamson, Mari Muri - Monroe Manipulatives (for Monroe CC Only)

ETA Cuisinaire - MyMathLab -- Valuepack Access Card

. . Pearson Education

$223.67 | Add to Cart

Package ISBN-13: 9780321810465

Includes this title packaged with:

- IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning

San Diego State University Foundation, Randy Philipp - MathXL -- Valuepack Access Card (24-month access), 4th Edition

. . Pearson Education - Mathematical Activities for Mathematical Reasoning for Elementary School Teachers, 6th Edition

Dan Dolan, Jim Williamson, Mari Muri

$334.00 | Add to Cart

## Purchase Info

ISBN-10: 0-321-69312-4

ISBN-13: 978-0-321-69312-9

Format: Alternate Binding

This item has been upgraded to Mathematical Reasoning for Elementary Teachers, 7th Edition.

### Digital Choices

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

Buy AccessMathXL -- Instant Access -- for Mathematical Reasoning for Elementary School Teachers , 6th Edition

$85.80 | ISBN-13: 978-0-321-71651-4

Buy AccessNEW MyMathLab with Pearson eText -- Instant Access -- for Mathematical Reasoning for Elementary School Teachers, 6th Edition

$95.20 | ISBN-13: 978-0-321-71678-1

#### eTextbook ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Once you have purchased your eTextbooks and added them to your CourseSmart bookshelf, you can access them anytime, anywhere.

Mathematical Reasoning for Elementary School Teachers, CourseSmart eTextbook, 6th Edition

$73.99 | ISBN-13: 978-0-321-71719-1

### Print Choices

#### Loose Leaf Version ?

Books a la Carte are less-expensive, loose-leaf versions of the same textbook.

Mathematical Reasoning for Elementary School Teachers, Books a la Carte Edition, 6th Edition

$120.67 | ISBN-13: 978-0-321-71718-4