## Overview

*For courses in Math for Future Elementary Teachers.*

**A concept-rich, skill-based approach to preparing outstanding elementary math teachers**

** A Problem Solving Approach to Mathematics for Elementary School Teachers **not only helps students learn the math – it provides an invaluable reference to future teachers by including professional development features and discussions of today’s standards.

Revised throughout to prepare students more effectively for their own classrooms, the **13th Edition** gives instructors a variety of approaches to teaching, and encourages discussion and collaboration among students and with their instructors. The MyLab™ Math course for this revision is updated extensively with new resources and features.

The Common Core Standards are used in the text to highlight concepts. The National Council of Teachers of Mathematics (NCTM) publications, *Principles and Standards of School Mathematics* (2000) and *Principles to Actions: Ensuring Mathematical Success for All *(2014) are reflected throughout.

**Also available with MyLab Math **

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

**0135261686 / 9780135261682 A Problem Solving Approach to Mathematics for Elementary School Teachers - Access Card Package**

**Package consists of:**

**013518388X / 9780135183885 A Problem Solving Approach to Mathematics for Elementary School Teachers****0135190053 / 9780135190050 MyLab Math with Pearson eText - Standalone Access Card - for A Problem Solving Approach to Mathematics for Elementary School Teachers**

## Table of contents

**1. An Introduction to Problem Solving**

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

Chapter 1 Review

**2. Introduction to Logic and Sets**

2-1 Reasoning and Logic: An Introduction

2-2 Describing Sets

2-3 Other Set Operations

Chapter 2 Review

**3. Numeration Systems and Whole Number Operations**

3-1 Numeration Systems

3-2 Addition of Whole Numbers

3-3 Subtraction of Whole Numbers

3-4 Multiplication of Whole Numbers

3-5 Division of Whole Numbers

Chapter 3 Review

**4. Number Theory**

4-1 Divisibility

4-2 Prime and Composite Numbers

4-3 Greatest Common Divisor and Least Common Multiple

* Module A: Clock and Modular Arithmetic–online

Chapter 4 Review

**5. Integers**

5-1 Addition and Subtraction of Integers

5-2 Multiplication and Division of Integers

Chapter 5 Review

**6. Rational Numbers and Proportional Reasoning**

6-1 The Set of Rational Numbers

6-2 Addition, Subtraction, and Estimation with Rational Numbers

6-3 Multiplication, Division, and Estimation with Rational Numbers

6-4 Proportional Reasoning

Chapter 6 Review

**7. Decimals, Percents, and Real Numbers**

7-1 Terminating Decimals

7-2 Operations on Decimals

7-3 Repeating Decimals

7-4 Percents

7-5 Real Numbers

Chapter 7 Review

**8. Algebraic Thinking**

8-1 Variables

8-2 Equals Relation and Equations

8-3 Functions

8-4 Equations in a Cartesian Coordinate System

* Module B: Using Real Numbers in Equations–online

Chapter 8 Review

**9. Probability**

9-1 Determining Probabilities

9-2 Multistage Experiments and Modeling Games

9-3 Simulations and Applications in Probability

9-4 Permutations and Combinations in Probability

Chapter 9 Review

**10. Data Analysis/Statistics: An Introduction**

10-1 Designing Experiments/Collecting Data

10-2 Displaying Data: Part I

10-3 Displaying Data: Part II

10-4 Measures of Central Tendency and Variation

Chapter 10 Review

**11. Introductory Geometry**

11-1 Basic Notions

11-2 Curves, Polygons, and Symmetry

11-3 More About Angles

11-4 Geometry in Three Dimensions

* Module C: Networks–online

Chapter 11 Review

**12. Congruence and Similarity with Constructions**

12-1 Congruence Through Constructions

12-2 Additional Congruence Theorems

12-3 Additional Constructions

12-4 Similar Triangles and Other Similar Figures

* Module D: Trigonometry Ratios via Similarity–online

Chapter 12 Review

**13. Area, Pythagorean Theorem, and Volume**

13-1 Linear Measure

13-2 Areas of Polygons and Circles

13-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle

13-4 Surface Areas

13-5 Volume, Mass, and Temperature

Chapter 13 Review 890

Technology Modules

* Module E: Spreadsheets–online

* Module F: Graphing Calculators–online

* Module H: GeoGebra–online

**14. Transformations**

14-1 Translations, Rotations, and Tessellations

14-2 Reflections and Glide Reflections

14-3 Dilations 935

Chapter 14 Review

Credits

Answers to Problems

Additional Instructor Answers (Annotated Instructor’s Edition only)

## For teachers

All the material you need to teach your courses.

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