Mathematics for Elementary Teachers: A Contemporary Approach / Edition 9

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Overview

When students truly understand the mathematical concepts, it's magic. Students who use this text are motivated to learn mathematics. They become more confident and are better able to appreciate the beauty and excitement of the mathematical world.

That's why the new Ninth Edition of Musser, Burger, and Peterson's best-selling textbook focuses on one primary goal: helping students develop a true understanding of central concepts using solid mathematical content in an accessible and appealing format. The components in this complete learning program—from the textbook, to the eManipulative activities, to the online problem-solving tools and the resource-rich website—work in harmony to help achieve this goal. This edition can also be accompanied with WileyPlus, an online teaching and learning environment that integrates the entire digital textbook with the most effective resources to fit every learning style.

WileyPLUS is sold separately from the text.

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Product Details

  • ISBN-13: 9780470531341
  • Publisher: Wiley
  • Publication date: 11/16/2010
  • Edition description: Older Edition
  • Edition number: 9
  • Pages: 1088
  • Sales rank: 673,788
  • Product dimensions: 8.30 (w) x 10.20 (h) x 1.60 (d)

Meet the Author

Gary L. Musser is 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 Michigan and his Ph.D. in Mathematics (Radical Theory) in 1970 at the University of Miami in Florida. He taught at the junior and senior high, junior college and university levels for more than 30 years. He spent his final 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 Professor Blake E. Peterson was hired at OSU as his replacement. 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 GeometryA Problem-Solving Approach with Applications (2008) and A Mathematical View of Our World (2007). He also coauthored the K-8 series Mathematics in Action. He has given more than 65 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, were he continues to write, ponder the mysteries of the stock market, enjoy living with his wife and his faithful yellow lab, Zoey.

Blake E. Peterson is currently a 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 a 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 where he met Gary Musser. He has since moved his wife and four children to Provo, Utah, to assume his position at Brigham Young University where he is currently a full professor.
Dr. Peterson has published papers in Rocky Mountain Mathematics Journal, The American Mathematical Monthly,  The Mathematical Gazette, Mathematics Magazine, The New England Mathematics Journal, School Science and Mathematics, The Journal of Mathematics Teacher Education, and The Journal for Research in Mathematics as well as chapters in several books. He has also published in NCTM’s Mathematics Teacher, and Mathematics Teaching in the Middle School. His research interests are teacher education in Japan and productive use of student mathematical thinking during instruction, which is the basis of an NSF grant that he and 3 of his colleagues were recently awarded. In addition to teaching, research, and writing, Dr. Peterson has done consulting for the College Board, founded the Utah Association of Mathematics Teacher Educators, and has been the chair of the editorial panel for the Mathematics Teacher.
Aside from his academic interests, Dr. Peterson enjoys spending time with his family, fulfilling his church responsibilities, playing basketball, mountain biking, water skiing, and working in the yard.

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Table of Contents

Preface.

1 Introduction to Problem Solving.

1.1 The Problem Solving Process and Strategies.

1.2 Three Additional Strategies.

2 Sets, Whole Numbers, and Numeration.

2.1 Sets as a Basis for Whole Numbers.

2.2 Whole Numbers and Numeration.

2.3 The Hindu–Arabic System.

3 Whole Numbers: Operations and Properties.

3.1 Addition and Subtraction.

3.2 Multiplication and Division.

3.3 Ordering and Exponents.

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

4.1 Mental Math, Estimation, and Calculators.

4.2 Written Algorithms for Whole-Number Operations.

4.3 Algorithms in Other Bases.

5 Number Theory.

5.1 Primes, Composites, and Tests for Divisibility.

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

6 Fractions.

6.1 The Sets of Fractions.

6.2 Fractions: Addition and Subtraction.

6.3 Fractions: Multiplication and Division.

7 Decimals, Ratio, Proportion, and Percent.

7.1 Decimals.

7.2 Operations with Decimals.

7.3 Ratios and Proportion.

7.4 Percent.

8 Integers.

8.1 Addition and Subtraction.

8.2 Multiplication, Division, and Order.

9 Rational Numbers, Real Numbers, and Algebra.

9.1 The Rational Numbers.

9.2 The Real Numbers.

9.3 Relations and Functions.

9.4 Functions and Their Graphs.

10 Statistics.

10.1 Organizing and Picturing Information.

10.2 Misleading Graphs and Statistics.

10.3 Analyzing Data.

11 Probability.

11.1 Probability and Simple Experiments.

11.2 Probability and Complex Experiments.

11.3 Additional Counting Techniques.

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

12 Geometric Shapes.

12.1 Recognizing Geometric Shapes.

12.2 Level Z- Relationships.

12.3 An Introduction to a Formal Approach to Geometry.

12.4 Regular Polygons, Tessellations, and Circles.

12.5 Describing Three-Dimensional Shapes.

13 Measurement.

13.1 Measurement with Nonstandard and Standard Units.

13.2 Length and Area.

13.3 Surface Area.

13.4 Volume.

14 Geometry Using Triangle Congruence and Similarity.

14.1 Congruence of Triangles.

14.2 Similarity of Triangles.

14.3 Basic Euclidean Constructions.

14.4 Additional Euclidean Constructions.

14.5 Geometric Problem Solving Using Triangle Congruence and Similarity.

15 Geometry Using Coordinates.

15.1 Distance and Slope in the Coordinate Plane.

15.2 Equations and Coordinates.

15.3 Geometric Problem Solving Using Coordinates.

16 Geometry Using Transformations.

16.1 Transformations.

16.2 Congruence and Similarity Using Transformations.

16.3 Geometric Problem Solving Using Transformations.

Epilogue: An Eclectic Approach to Geometry.

Topic 1. Elementary Logic.

Topic 2. Clock Arithmetic: A Mathematical System.

Answers to Exercise/Problem Sets—Part A, Chapter Tests, and Topics A1.

Photograph Credits.

Index.

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