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Mathematics for Elementary Teachers: A Contemporary Approach, 10th Edition

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WileyPLUS improves outcomes with robust practice problems and feedback, fosters engagement with course content and educational videos, and gives students the flexibility to increase confidence as they learn and prepare outside of class.


Mathematics for Elementary Teachers, 10th Edition establishes a solid math foundation for future teachers. Thoroughly revised with a clean, engaging design, the new 10th Edition of Musser, Peterson, and Burgers best-selling textbook focuses on one primary goal: helping students develop a deep understanding of mathematical concepts so they can teach with knowledge and confidence. The components in this complete learning program--from the textbook, to the e-Manipulative activities, to the Childrens Videos, to the online problem-solving tools, resource-rich website and Enhanced WileyPLUS--work in harmony to help achieve this goal. WileyPLUS sold separately from text.

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Preface xi

1 Introduction to Problem Solving 2

1.1 The Problem-Solving Process and Strategies 5

1.2 Three Additional Strategies 21

2 Sets, Whole Numbers, and Numeration 42

2.1 Sets as a Basis for Whole Numbers 45

2.2 Whole Numbers and Numeration 57

2.3 The Hindu–Arabic System 67

3 Whole Numbers: Operations and Properties 84

3.1 Addition and Subtraction 87

3.2 Multiplication and Division 101

3.3 Ordering and Exponents 116

4 Whole Number Computation—Mental, Electronic, and Written 128

4.1 Mental Math, Estimation, and Calculators 131

4.2 Written Algorithms for Whole-Number Operations 145

4.3 Algorithms in Other Bases 162

5 Number Theory 174

5.1 Primes, Composites, and Tests for Divisibility 177

5.2 Counting Factors, Greatest Common Factor, and Least Common Multiple 190

6 Fractions 206

6.1 The Set of Fractions 209

6.2 Fractions: Addition and Subtraction 223

6.3 Fractions: Multiplication and Division 233

7 Decimals, Ratio, Proportion, and Percent 250

7.1 Decimals 253

7.2 Operations with Decimals 262

7.3 Ratio and Proportion 274

7.4 Percent 283

8 Integers 302

8.1 Addition and Subtraction 305

8.2 Multiplication, Division, and Order 318

9 Rational Numbers, Real Numbers, and Algebra 338

9.1 The Rational Numbers 341

9.2 The Real Numbers 358

9.3 Relations and Functions 375

9.4 Functions and Their Graphs 391

10 Statistics 412

10.1 Statistical Problem Solving 415

10.2 Analyze and Interpret Data 440

10.3 Misleading Graphs and Statistics 460

11 Probability 484

11.1 Probability and Simple Experiments 487

11.2 Probability and Complex Experiments 502

11.3 Additional Counting Techniques 518

11.4 Simulation, Expected Value, Odds, and Conditional Probability 528

12 Geometric Shapes 546

12.1 Recognizing Geometric Shapes—Level 0 549

12.2 Analyzing Geometric Shapes—Level 1 564

12.3 Relationships between Geometric Shapes—Level 2 579

12.4 An Introduction to a Formal Approach to Geometry 589

12.5 Regular Polygons, Tessellations, and Circles 605

12.6 Describing Three-Dimensional Shapes 620

13 Measurement 644

13.1 Measurement with Nonstandard and Standard Units 647

13.2 Length and Area 665

13.3 Surface Area 686

13.4 Volume 696

14 Geometry Using Triangle Congruence and Similarity 716

14.1 Congruence of Triangles 719

14.2 Similarity of Triangles 729

14.3 Basic Euclidean Constructions 742

14.4 Additional Euclidean Constructions 755

14.5 Geometric Problem Solving Using Triangle Congruence and Similarity 765

15 Geometry Using Coordinates 780

15.1 Distance and Slope in the Coordinate Plane 783

15.2 Equations and Coordinates 795

15.3 Geometric Problem Solving Using Coordinates 807

16 Geometry Using Transformations 820

16.1 Transformations 823

16.2 Congruence and Similarity Using Transformations 846

16.3 Geometric Problem Solving Using Transformations 863

Epilogue: An Eclectic Approach to Geometry 877

Topic 1. Elementary Logic 881

Topic 2. Clock Arithmetic: A Mathematical System 891

Answers to Exercise/Problem Sets A and B, Chapter Reviews, Chapter Tests, and Topics Section A1

Index i1

Contents of Book Companion Web Site

Resources for Technology Problems


Spreadsheet Activities

Geometer’s Sketchpad Activities

Technology Tutorials


Geometer’s Sketchpad

Programming in Logo

Graphing Calculators


Algebraic Reasoning

Children’s Literature

Introduction to Graph Theory

Additional Resources

Guide to Problem Solving

Problems for Writing/Discussion

Research Articles

Web Links


Book Overview

Author Walk-Through Videos

Children’s Videos

  • Common Core Standards, adopted in 45 states, have been added to this edition with grade levels in which they appear.  The Common Core Standards  provide a consistent, clear understanding of what students are expected to learn, so teachers know what they need to do to help them; NCTM (National Council of Teachers of Mathematics) Standards are also referenced in margins
  • QR CODES THROUGHOUT THE BOOK link students to “A Note to Our Students”  that shows students how to maximize their use of the book, a WALK-THROUGH at the start of each chapter that gives students a  preview & roadmap, and codes throughout each chapter link students to the author-created Children’s Videos
  • Enhanced WileyPLUS that includes the new author-created Children’s Videos, updated student homework problems and new questions that assess e-Manipulative content and video content.
  • Mathematical Tasks added to every chapter to guide class discussion and introduce new topics in class
  • Key Concepts from the Common Core State standards for Mathematics, National Council of Teachers of Mathematics’, Principles and Standards for School Mathematics, and Curriculum Focal Points have been compiled on the third page of every chapter.
  • Children’s Videos: a suite of Children’s Videos (4-5 per chapter). These video are linked to the text content via QR codes, which appear in the margins. The videos are interviews with students at different grade levels showing what problem-solving strategies they use for different math topics.
  • Problem-Solving Emphasis: Features the largest collection of problems (over 3,000!), work examples, and problem-solving strategies in any text of its kind.
  • Integrated Technology: Technology and content are integrated throughout the text in a meaningful way. The technology includes WileyPLUS, activities from the expanded e-Manipulative activities, spreadsheet activities, Geometer’s Sketchpad activities, and calculator activities using a graphing calculator
  • Appropriate Topical Sequence: Moves from the concrete to the pictorial to the abstract, reflecting the way math is generally taught in elementary schools.
  • Common Core Standards and NCTM Standards: Bothare referenced throughout in the margin and reviewed at the beginning of each chapter, giving future teachers a comprehensive understanding of the standards they will be responsible for and the skills that their students will be tested on.