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

by Gary L. Musser (Oregon State University); William F. Burger; Blake E. Peterson (Brigham Young University, Utah)

• ISBN13: 9780471662938
• ISBN10: 0471662933
• Additional ISBN(s): 9780470105832
• Edition: 7th
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: WILEY
• More Book Details
• Purchase Benefits

Summary

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.

Author Biography

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.

Table of Contents

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