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.
Table of Contents:
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
eManipulatives
Spreadsheet Activities
Geometer’s Sketchpad Activities
Technology Tutorials
Spreadsheets
Geometer’s Sketchpad
Programming in Logo
Graphing Calculators
Webmodules
Algebraic Reasoning
Children’s Literature
Introduction to Graph Theory
Additional Resources
Guide to Problem Solving
Problems for Writing/Discussion
Research Articles
Web Links
Videos
Book Overview
Author Walk-Through Videos
Children’s Videos
About 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 Geometry—A 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.
