Mathematics for Elementary Teachers: A Contemporary Approach 10th Edition

Book Preface

Welcome to the study of the foundations of elementary school mathematics. We hope you will find your studies enlightening, useful, and fun. We salute you for choosing teaching as a profession and hope that your experiences with this book will help prepare you to be the best possible teacher of mathematics that you can be. We have presented this elementary mathematics material from a variety of perspectives so that you will be better equipped to address that broad range of learning styles that you will encounter in your future students. This book also encourages prospective teachers to gain the ability to do the mathematics of elementary school and to understand the underlying concepts so they will be able to assist their students, in turn, to gain a deep understanding of mathematics.

We have also sought to present this material in a manner consistent with the recommendations in (1) The Mathematical Education of Teachers prepared by the Conference Board of the Mathematical Sciences, (2) the National Council of Teachers of Mathematics’ Standards Documents, and (3) The Common Core State Standards for Mathematics. In addition, we have received valuable
advice from many of our colleagues around the United States through questionnaires, reviews, focus groups, and personal communications. We have taken great care to respect this advice and to ensure that the content of the book has mathematical integrity and is accessible and helpful to the variety of students who will use it. As always, we look forward to hearing from you about your experiences with our text.

GARY L. MUSSER, [email protected]
BLAKE E. PETERSON, [email protected]

BRIEF CONTENTS

1 Introduction to Problem Solving 2
2 Sets, Whole Numbers, and Numeration 42
3 Whole Numbers: Operations and Properties 84
4 Whole Number Computation—Mental, Electronic,
and Written 128
5 Number Theory 174
6 Fractions 206
7 Decimals, Ratio, Proportion, and Percent 250
8 Integers 302
9 Rational Numbers, Real Numbers, and Algebra 338
10 Statistics 412
11 Probability 484
12 Geometric Shapes 546
13 Measurement 644
14 Geometry Using Triangle Congruence and Similarity 716
15 Geometry Using Coordinates 780
16 Geometry Using Transformations 820
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
Technology Tutorials
Webmodules
Additional Resources
Videos