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Problem Solving Approach to Mathematics for Elementary School Teachers, A, CourseSmart eTextbook, 11th Edition

By Rick Billstein, Shlomo Libeskind, Johnny W. Lott

Published by Pearson

Published Date: Feb 28, 2012

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Description

More than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material 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.

 

The Eleventh Edition is streamlined to keep students focused on what is most important. The Common Core State Standards (CCSS) have been integrated into the book to keep current with educational developments. The Annotated Instructor’s Edition offers new Integrating Mathematics and Pedagogy (IMAP) video annotations, in addition to activity manual and e-manipulative CD annotations, to make it easier to incorporate active learning into your course. MyMathLab® is available to offer auto-graded exercises, course management, and classroom resources for future teachers.

 

To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit www.pearsonhighered.com/teachingmath

 

Table of Contents

1. An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

1-3 Reasoning and Logic: An Introduction

 

2. Numeration Systems and Sets

2-1 Numeration Systems

2-2 Describing Sets

2-3 Other Set Operations and Their Properties

 

3. Whole Numbers and Their Operations

3-1 Addition and Subtraction of Whole Numbers

3-2 Algorithms for Whole-Number Addition and Subtraction

3-3 Multiplication and Division of Whole Numbers

3-4 Algorithms for Whole-Number Multiplication and Division

3-5 Mental Mathematics and Estimation for Whole-Number Operations

 

4. Number Theory

4-1 Divisibility

4-2 Prime and Composite Numbers

4-3 Greatest Common Divisor and Least Common Multiple

Online Module: Clock & Modular Arithmetic

 

5. Integers

5-1 Integers and the Operations of Addition and Subtraction

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 and Division of Rational Numbers

6-4 Ratios, Proportions, and Proportional Reasoning

 

7. Decimals: Rational Numbers and Percent

7-1 Introduction to Decimals

7-2 Operations on Decimals

7-3 Nonterminating 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

Online Module: Using Real Numbers in Equations

 

9. Probability

9-1 How Probabilities Are Determined

9-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities

9-3 Using Simulations in Probability

9-4 Odds, Conditional Probability, and Expected Value

9-5 Using 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 Linear Measure

11-3 Curves, Polygons, and Symmetry

11-4 More About Angles

Online Module: Networks

 

12. Congruence and Similarity with Constructions

12-1 Congruence through Constructions

12-2 Other Congruence Properties

12-3 Other Constructions

12-4 Similar Triangles and Similar Figures

Online Module: Trigonometry Ratios via Similarity

 

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 Areas of Polygons and Circles

14-2 The Pythagorean Theorem, Distance Formula, and Equation of a Circle

14-3 Geometry in Three Dimensions

14-4 Surface Areas

14-5 Volume, Mass, and Temperature

 

Online Appendices

Spreadsheets

Graphing calculators

Geometer’s Sketchpad

GeoGebra

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Problem Solving Approach to Mathematics for Elementary School Teachers, A, CourseSmart eTextbook, 11th Edition
Format: Safari Book

$72.99 | ISBN-13: 978-0-321-78325-7