Mathematics for Elementary Teachers: A Contemporary Approach, 9th Edition
November 2010, ©2011
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 programfrom the textbook, to the eManipulative activities, to the online problem-solving tools and the resource-rich websitework 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.
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.
6.1 The Sets of Fractions.
6.2 Fractions: Addition and Subtraction.
6.3 Fractions: Multiplication and Division.
7 Decimals, Ratio, Proportion, and Percent.
7.2 Operations with Decimals.
7.3 Ratios and Proportion.
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.
10.1 Organizing and Picturing Information.
10.2 Misleading Graphs and Statistics.
10.3 Analyzing Data.
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.
13.1 Measurement with Nonstandard and Standard Units.
13.2 Length and Area.
13.3 Surface Area.
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.
16.2 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.
- Revised and Enriched Exercise Sets: This where necessary, to assure that they are closely aligned with and provide complete coverage to the section material. Exercises in Exercise/Problem Sets A and B are arranged in matched pairs, but problems are not. Answers are provided for all Set A exercises/problems. Answers are provided for all Set B exercises/problems in the Instructor Resource Manual.
- Section Rearranged: Section 2.4 from the 8th edition has been moved to Sec 9.3 in this edition to enrich the coverage of algebra.
- Chapter Revisions: Chapter 12 has been substantially revised. Sections 12.1 and 12.2 have been organized to more faithfully represent the first three van Hiele levels. In this way, students will be able to pass through the levels in a more meaningful fashion so that they will get a strong feeling about how their students will view geometry at various grade levels.
- Algebraic Reasoning: To further enrich the coverage of algebra, Algebraic Reasoning margins notes have been strategically placed throughout the book to help students see how what they are studying is connected to algebra.
- Check for Understanding: To help students be more active when learning the material, Check for Understanding callouts lead students to Part A exercises that are relevant to the subsection they just finished studying.
- Analyzing Student Thinking: Problems have been added to the end of the Part B problems. These problems pose questions that students may face when they teach. Many of the problems that were marked with fountain pen icons at the end of the Exercise/Problems sets have been incorporated into the Analyzing Student Thinking problems in this edition.
- Author Walk-Throughs: These are audio vignettes that precede each chapter and each section. These brief vignettes help students hear about points of major emphasis in each chapter/section so that their study can be more focused.
- Revised Children’s Literature & Reflections from Research: These margins have been revised and refreshed.
- Revised Website: Nearly all of the Problems for Writing/Discussion that preceded the Chapter Tests in the 8th edition now appear on our Website.
- Problem-Solving Emphasis: Features the largest collection of problems (over 3,000!), worked examples, and problem-solving strategies in any text of its kind.
- Integrated Technology: Technology and content are integrated throughout the text in a meaningful way. The technology includes WileyPLUS, activities from the expanded eManipulative activities, spreadsheet activities, Geometer’s Sketchpad activities, and calculator activities using a graphics calculator and Math Explorer.
- Extensive Geometry Coverage: Comprehensive, five-chapter treatment of geometry based on the van Hiele model provides students with the necessary, and often neglected, background in geometry.
- Appropriate Topical Sequence: Moves from the concrete to the pictorial to the abstract, reflecting the way math is generally taught in elementary schools.
- NCTM Standards: These are referenced throughout in the margin and reviewed at the beginning of each chapter, giving future teachers a good idea of the standards they will be responsible for and the skills that their students will be tested on.