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A Problem Solving Approach to Mathematics for Elementary School Teachers, 12th edition

  • Rick Billstein
  • Shlomo Libeskind
  • Johnny Lott

Published by Pearson (January 5th 2015) - Copyright © 2016

12th edition

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For courses in mathematics for elementary teachers.

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The Gold Standard for the New Standards

A Problem Solving Approach to Mathematics for Elementary School Teachers has always reflected the content and processes set forth in today’s new state mathematics standards and the Common Core State Standards (CCSS). In the Twelfth Edition, the authors have further tightened the connections to the CCSS and made them more explicit. This text not only helps students learn the math by promoting active learning and developing skills and concepts—it also provides an invaluable reference to future teachers by including professional development features and discussions of today’s standards.


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MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. MyMathLab includes assignable algorithmic exercises, the complete eBook, tutorial and classroom videos, eManipulatives, tools to personalize learning, and more.

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Table of contents

1. An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns and Algebraic Thinking


2. Introduction to Logic and Sets

2-1 Reasoning and Logic: An Introduction

2-2 Describing Sets

2-3 Other Set Operations and Their Properties


3. Numeration Systems and Whole Number Operations

3-1 Numeration Systems

3-2 Addition and Subtraction of Whole Numbers

3-3 Multiplication and Division of Whole Numbers

3-4 Addition and Subtraction Algorithms, Mental Computation, and Estimation

3-5 Multiplication and Division Algorithms, Mental Computation, and Estimation


4. Number Theory

4-1 Divisibility

4-2 Prime and Composite Numbers

4-3 Greatest Common Divisor and Least Common Multiple

*Module A:  Clock & Modular Arithmetic--online


5. Integers

5-1 Addition and Subtraction of Integers

5-2 Multiplication and Division of Integers


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


7. Rational Numbers as Decimals and Percents

7-1 Introduction to Finite Decimals

7-2 Operations on Decimals

7-3 Repeating Decimals

7-4 Percents and Interest


8. Real Numbers and Algebraic Thinking

8-1 Real Numbers

8-2 Variables

8-3 Equations

8-4 Functions

8-5 Equations in a Cartesian Coordinate System

*Module B: Using Real Numbers  in Equations--online


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


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

10-5 Abuses of Statistics


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


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


13. Congruence and Similarity with Transformations

13-1 Translations and Rotations

13-2 Reflections and Glide Reflections

13-3 Dilations

13-4 Tessellations of the Plane


14. Area, Pythagorean Theorem, and Volume

14-1 Linear Measure

14-2 Areas of Polygons and Circles

14-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle

14-4 Surface Areas

14-5 Volume, Mass, and Temperature

Technology Modules

*Module E: Spreadsheets--online

*Module F: Graphing Calculators--online

*Module H: GeoGebra--online

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