9780471662938

When you truly understand mathematical concepts, it's like magic... This book was written to help you increase your mathematical knowledge and confidence, and appreciate the beauty and excitement of the mathematical world. With this Seventh Edition of Musser, Burger, and Peterson's best-selling textbook and its accompanying ancillaries, you can develop a deep understanding of concepts central to elementary mathematics as well as experience the magic of mathematics. Enhance you understanding with these resources: New! Student Activity Manual (0-471-70119-X)- This three-hole punched collection of activities is designed to enhance you studies and help you model effective classroom practices. New! State Correlation Guidebooks: These 35-page pamphlets will help you prepare for state licensing exams. The guidebooks provide a detailed correlation between the textbook and state standards for the following states: California (ISBN: 0-471-70103-3) Illinois (ISBN: 0-471-70106 -8) New York (ISBN: 0-471-70116-5) Virginia (ISBN: 0-471-70118-1) Florida (ISBN: 0-471-70104-1) Texas (ISBN: 0-471-70117-3) Michigan (ISBN: 0-471-70115-7) Hints and Solutions Manual for Part A Problems (ISBN: 0-471-70109-2)- This book contains carefully written step-by-step solutions and hints to help you develop problem-solving proficiency in a self-study mode. Companion Website (www.wiley.com/college/musser)- This site contains a wealth of resources, including the new Algebraic Reasoning Webmodule, update eManipulative Activites, the Guide to Problem Solving, Geometer's Sketchpad Activities and Tutorial, Spreadsheet Activities and Tutorial, Children's Literature Tutorial, and Linksto NCTM Standards.

Gary L. Musser is currently Professor Emeritus from Oregon State University. He earned both his B.S. in Mathematics Education in 1961 and his M.S. in Mathematics in 1963 at the University of Miami in Florida. He taught at the junior and senior high, junior college, college, and university levels for more than 30 years. He served his last 24 years teaching prospective teachers in the Department of Mathematics at Oregon State University. While at OSU, Dr. Musser developed the mathematics component of the elementary teacher program. Soon after Professor William F. Burger joined the OSU Department of Mathematics in a similar capacity, the two of them began to write the first edition of this book. Professor Burger passed away during the preparation of the second edition, and later Professor Blake E. Peterson was hired at OSU. Professor Peterson joined Professor Musser as a coauthor beginning with the fifth edition. Professor Musser has published 40 papers in many journals, including the Pacific Journal of Mathematics, Canadian Journal of Mathematics, The Mathematics Association of America Monthly, the NCTM's The Mathematics Teacher, the NCTM's The Arithmetic Teacher, School Science and Mathematics, The Oregon Mathematics Teacher, and the Computing Teacher. In addition, he is a coauthor of two other college mathematics Books: College Geometry- A Problem-Solving Approach with Applications and Mathematics in Life, Society, and the World. He also coauthored the K-8 series Mathematics in Action. He has given more than 64 invited lectures/workshops at a variety of conferences, including NCTM and MAA conferences, and was awarded 15 federal, state, and local grants to improve the teaching of mathematics.

While Professor Musser was at OSU, he was awarded the university's prestigious College of Science Carter Award for Teaching. he is currently living in sunny Las Vegas, where he continues to write, ponder the mysteries of the stock market, entertain his faithful yellow lab, Zoey, and enjoy watching his granddaughter blossom into a young lady.

Blake E. Peterson is currently an Associate Professor in the Department of Mathematics Education at Brigham Young University. He was born and raised in Logan, Utah, where he graduated from Logan High School. Before completing his BA in secondary mathematics education at Utah State University, he spent two years in Japan as a missionary for the church of Jesus Christ of Latter Day Saints. After graduation, he took his new wife, Shauna, to southern California, where he taught and coached at Chino High School for two years. In 1988, he began graduate school at Washington State University, where he later completed an M.S. and Ph.D. in pure mathematics.

After completing his Ph.D., Dr. Peterson was hired as a mathematics educator in the Department of Mathematics at Oregon State University in Corvallis, Oregon, where he taught for three years. It was at OSU that he met Gary Musser. He has since moved his wife and four children to Provo, Utah, to assume his position at Brigham Young University. As a professor, his first love is teaching, for which he has received a College Teaching he Award in the College of Science. He has also designed the "Mathematics Teaching with Technology" and "Mathematics Methods" courses at Brigham Young University.

Dr. Peterson has published papers in Rocky Mountain Mathematics Journal, The American Mathematical Monthly, The Mathematical Gazette, and Mathematics magazine, as well as NCTM's mathematics Teacher and Mathematics Teaching in the Middle School. His current research interests are the mathematical dialogue that occurs during teacher collaborations. This research recently took him back to Japan where he studied mathematics student teachers at a Japanese junior high school. In addition to teaching, research, and writing, Dr. Peterson has done consulting for the College Board, founded the Utah Association of mathematics Teacher Educators, is an associate chair of the department of mathematics education at BYU.

Aside from his academic interests, Dr. Peterson enjoys spending time with his family, playing basketball, mountain biking, water skiing, and working in the yard.

Preface

xi

Introduction to Problem Solving

1

(44)

The Problem-Solving Process and Strategies

3

(17)

Three Additional Strategies

20

(25)

Sets, Whole Numbers, and Numeration

45

(60)

Sets As a Basis for Whole Numbers

47

(13)

Whole Numbers and Numeration

60

(10)

The Hindu--Arabic System

70

(10)

Relations and Functions

80

(25)

Whole Numbers: Operations and Properties

105

(46)

Addition and Subtraction

107

(13)

Multiplication and Division

120

(16)

Ordering and Exponents

136

(15)

Whole-Number Computation---Mental, Electronic and Written

151

(46)

Mental Math, Estimation, and Calculators

153

(14)

Written Algorithms for Whole-Number Operations

167

(19)

Algorithms in Other Bases

186

(11)

Number Theory

197

(34)

Primes, Composites, and Tests for Divisibility

199

(14)

Counting Factors, Greatest Common Factor, and Least Common Multiple

213

(18)

Fractions

231

(48)

The Set of Fractions

233

(14)

Fractions: Addition and Subtraction

247

(11)

Fractions: Multiplication and Division

258

(21)

Decimals, Ratio, Proportion, and Percent

279

(54)

Decimals

281

(9)

Operations with Decimals

290

(12)

Ratio and Proportion

302

(10)

Percent

312

(21)

Integers

333

(20)

Addition and Subtraction

335

(14)

Multiplication, Division, and Order

349

(4)

Rational Numbers, Real Numbers, and Algebra

353

(78)

The Rational Numbers

355

(18)

The Real Numbers

373

(17)

Functions and Their Graphs

390

(41)

Statistics

431

(70)

Organizing and Picturing Information

433

(21)

Analyzing Data

454

(21)

Misleading Graphs and Statistics

475

(26)

Probability

501

(64)

Probability and Simple Experiments

503

(15)

Probability and Complex Experiments

518

(16)

Additional Counting Techniques

534

(10)

Simulation, Expected Value, Odds, and Conditional Probability

544

(21)

Geometric Shapes

565

(74)

Recognizing Geometric Shapes

567

(16)

Analyzing Shapes

583

(12)

Properties of Geometric Shapes: Lines and Angles

595

(11)

Regular Polygons and Tessellations

606

(11)

Describing Three-Dimensional Shapes

617

(22)

Measurement

639

(72)

Measurement with Nonstandard and Standard Units

641

(18)

Length and Area

659

(21)

Surface Area

680

(10)

Volume

690

(21)

Geometry Using Triangle Congruence and Similarity

711

(64)

Congruence of Triangles

713

(11)

Similarity of Triangles

724

(12)

Basic Euclidean Constructions

736

(11)

Additional Euclidean Constructions

747

(11)

Geometric Problem Solving Using Triangle Congruence and Similarity

758

(17)

Geometry Using Coordinates

775

(42)

Distance and Slope in the Coordinate Plane

777

(13)

Equations and Coordinates

790

(12)

Geometric Problem Solving Using Coordinates

802

(15)

Geometry Using Transformations

817

(56)

Transformations

819

(23)

Congruence and Similarity Using Transformations

842

(17)

Geometric Problem Solving Using Transformations

859

(14)

Epilogue: An Eclectic Approach to Geometry

873

(3)

Topic 1. Elementary Logic

876

(11)

Topic 2. Clock Arithmetic: A Mathematical System

887

(6)

Topic 3. Introduction to Graph Theory

893

References

1

(1)

Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics

1

(1)

Photograph Credits

1

(1)

Index

1

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Mathematics for Elementary Teachers: A Contemporary Approach, 7th Edition

Mathematics for Elementary Teachers: A Contemporary Approach, 7th Edition

0471662933

Summary

Author Biography

Table of Contents

Supplemental Materials