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Problem Solving Approach to Mathematics for Elementary School Teachers, A

by: Billstein, Rick; Libeskind, Shlomo; Lott, Johnny W.

Problem Solving Approach to Mathematics for Elementary School Teachers, A

by: Billstein, Rick; Libeskind, Shlomo; Lott, Johnny W.

ISBN 13:
9780321331793
ISBN 10:
0321331796
Edition: 9th
Format: Hardcover
Copyright: 01/01/2007
Publisher: Addison Wesley
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Summary

Setting the Standard for Tomorrow's Teachers: This best-selling text continues as a comprehensive, skills-based resource for future teachers. In this edition, students will benefit from additional emphasis on active and collaborative learning. Revised and updated content will better prepare your students for the day when they will be teachers with students of their own.

Preface

Acknowledgments

xvii

An Introduction to Problem Solving

(68)

Mathematics and Problem Solving

(19)

Explorations with Patterns

(17)

Algebraic Thinking

(14)

Logic: An Introduction

(16)

Questions from the Classroom

(1)

Chapter Outline and Review

(4)

Sets, Whole Numbers, and Functions

(83)

Describing Sets

(13)

Other Set Operations and Their Properties

(12)

Addition and Subtraction of Whole Numbers

(15)

Multiplication and Division of Whole Numbers

111

(17)

Functions

128

(24)

Questions from the Classroom

146

(1)

Chapter Outline and Review

147

(5)

Numeration Systems and Whole-Number Computation

152

(62)

Numeration Systems

153

(16)

Algorithms for Whole Number Addition and Subtraction

169

(13)

Algorithms for Whole-Number Multiplication and Division

182

(17)

Mental Mathematics and Estimation for Whole-Number Operations

199

(15)

Questions from the Classroom

208

(1)

Chapter Outline and Review

209

(5)

Integers and Number Theory

214

(83)

Integers and the Operations of Addition and Subtraction

216

(15)

Multiplication and Division of Integers

231

(15)

Divisibility

246

(13)

Prime and Composite Numbers

259

(14)

Greatest Common Divisor and Least Common Multiple

273

(12)

Clock and Modular Arithmetic

285

(12)

Questions from the Classroom

292

(1)

Chapter Outline and Review

293

(4)

Rational Numbers as Fractions

297

(67)

The Set of Rational Numbers

299

(15)

Addition and Subtraction of Rational Numbers

314

(15)

Multiplication and Division of Rational Numbers

329

(17)

Proportional Reasoning

346

(18)

Questions from the Classroom

358

(1)

Chapter Outline and Review

359

(5)

Decimals, Percents, and Real Numbers

364

(67)

Introduction to Decimals

366

(8)

Operations on Decimals

374

(15)

Nonterminating Decimals

389

(9)

Real Numbers

398

(9)

Percents

407

(14)

Computing Interest

421

(10)

Questions from the Classroom

427

(1)

Chapter Outline and Review

428

(3)

Probability

431

(70)

How Probabilities Are Determined

433

(15)

Multistage Experiments with Tree Diagrams and Geometric Probabilities

448

(19)

Using Simulations in Probability

467

(8)

Odds, Conditional Probability, and Expected Value

475

(9)

Using Permutations and Combinations in Probability

484

(17)

Questions from the Classroom

496

(1)

Chapter Outline and Review

497

(4)

Data Analysis/Statistics: An Introduction

501

(69)

Statistical Graphs of Categorical and Numerical Data

503

(21)

Measures of Central Tendency and Variation

524

(28)

Abuses of Statistics

552

(18)

Questions from the Classroom

564

(1)

Chapter Outline and Review

564

(6)

Introductory Geometry

570

(73)

Basic Notions

572

(17)

Polygons

589

(11)

More About Angles

600

(14)

Geometry in Three Dimensions

614

(14)

Networks

628

(15)

Questions from the Classroom

637

(1)

Chapter Outline and Review

638

(5)

Constructions, Congruence, and Similarity

643

(92)

Congruence Through Constructions

644

(18)

Other Congruence Properties

662

(7)

Other Constructions

669

(12)

Similar Triangles and Similar Figures

681

(17)

Trigonometry Ratios via Similarity

698

(9)

Lines in a Cartesian Coordinate System

707

(28)

Questions from the Classroom

729

(1)

Chapter Outline and Review

730

(5)

Concepts of Measurement

735

(93)

Linear Measure

737

(13)

Areas of Polygons and Circles

750

(20)

The Pythagorean Theorem and the Distance Formula

770

(16)

Surface Areas

786

(12)

Volume, Mass, and Temperature

798

(30)

Questions from the Classroom

821

(1)

Chapter Outline and Review

822

(6)

Motion Geometry and Tessellations

828

(65)

Translations and Rotations

830

(15)

Reflections and Glide Reflections

845

(13)

Size Transformations

858

(10)

Symmetries

868

(11)

Tessellations of the Plane

879

(14)

Questions from the Classroom

887

(1)

Chapter Outline and Review

887

(6)

Appendix I Using a Spreadsheet

893

(8)

Appendix II Graphing Calculators

901

(10)

Appendix III Using a Geometry Drawing Utility

911

(24)

Answers

935

(84)

Index

1019

Amazon no longer offers textbook rentals. We do!

Problem Solving Approach to Mathematics for Elementary School Teachers, A

Problem Solving Approach to Mathematics for Elementary School Teachers, A

9780321331793

0321331796

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Problem Solving Approach to Mathematics for Elementary School Teachers, A

Problem Solving Approach to Mathematics for Elementary School Teachers, A

9780321331793

0321331796

Summary

Table of Contents

Supplemental Materials

Write a Review

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