## 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

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

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

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

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$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: 9780321793157

Includes this title packaged with:

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

. J. Pearson

$198.00 | Add to Cart

Package ISBN-13: 9780321810076

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

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

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Package ISBN-13: 9780321786395

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

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

. J. Pearson

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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

. J. Pearson

$201.33 | Add to Cart

Package ISBN-13: 9780321786487

Includes this title packaged with:

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

Dan Dolan, Jim Williamson, Mari Muri - MyMathLab -- Valuepack Access Card

. J. Pearson

$198.00 | 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

. J. Pearson

$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

. J. Pearson

$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

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

Dan Dolan, Jim Williamson, Mari Muri

$334.00 | Add to Cart

## Purchase Info

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