Mathematics for Elementary... | Buy

All the essential mathematics teachers need for teaching at the elementary and middle school levels! This best seller features rich problem-solving strategies, relevant topics, and extensive opportunities for hands-on experience.

Introduction to Problem-Solving

1

(36)

The Problem-Solving Process and Strategies

3

(13)

Three Additional Strategies

16

(21)

Sets, Whole Numbers, and Numeration

37

(52)

Sets As a Basis for Whole Numbers

39

(11)

Whole Numbers and Numeration

50

(11)

The Hindu-Arabic System

61

(10)

Functions

71

(18)

Whole Numbers: Operations and Properties

89

(44)

Addition and Subtraction

91

(14)

Multiplication and Division

105

(15)

Ordering and Exponents

120

(13)

Whole-Number Computation: Mental, Electronic, and Written

133

(44)

Mental Math, Estimation, and Calculators

135

(15)

Written Algorithms for Whole-Number Operations

150

(17)

Algorithms in Other Bases

167

(10)

Number Theory

177

(32)

Primes, Composites, and Tests for Divisibility

179

(13)

Counting Factors, Greatest Common Factor, and Least Common Multiple

192

(17)

Fractions

209

(48)

The Set of Fractions

211

(15)

Fractions: Addition and Subtraction

226

(11)

Fractions: Multiplication and Division

237

(20)

Decimals, Ratio and Proportion, and Percent

257

(54)

Decimals

259

(10)

Operations with Decimals

269

(11)

Ratio and Proportion

280

(11)

Percent

291

(20)

Integers

311

(36)

Addition and Subtraction

313

(13)

Multiplication, Division, and Order

326

(21)

Rational Numbers and Real Numbers, with an Introduction to Algebra

347

(64)

The Rational Numbers

349

(19)

The Real Numbers

368

(18)

Functions and Their Graphs

386

(25)

Statistics

411

(46)

Organizing and Picturing Information

413

(17)

Analyzing Data

430

(27)

Probability

457

(50)

Probability and Simple Experiments

459

(14)

Probability and Complex Experiments

473

(15)

Odds, Conditional Probability, Expected Value, and Simulation

488

(19)

Geometric Shapes

507

(78)

Recognizing Geometric Shapes and Definitions

509

(16)

Analyzing Shapes

525

(14)

Properties of Geometric Shapes: Lines and Angles

539

(12)

Regular Polygons and Tessellations

551

(12)

Describing Three-Dimensional Shapes

563

(22)

Measurement

585

(76)

Measurement with Nonstandard and Standard Units

587

(20)

Length and Area

607

(24)

Surface Area

631

(10)

Volume

641

(20)

Geometry Using Triangle Congruence and Similarity

661

(66)

Congruence of Triangles

663

(12)

Similarity of Triangles

675

(13)

Basic Euclidean Constructions

688

(11)

Additional Euclidean Constructions

699

(12)

Geometric Problem Solving Using Triangle Congruence and Similarity

711

(16)

Geometry Using Coordinates

727

(44)

Distance and Slope in the Coordinate Plane

729

(13)

Equations and Coordinates

742

(13)

Geometric Problem Solving Using Coordinates

755

(16)

Geometry Using Transformations

771

(59)

Transformations

773

(25)

Congruence and Similarity Using Transformations

798

(19)

Geometric Problem Solving Using Transformations

817

(13)

Epilogue: An Eclectic Approach to Geometry

830

(5)

Technology Section

835

(51)

C.1 Programming in BASIC

835

(24)

C.2 Programming in LOGO: Turtle Geometry

859

(15)

C.3 Computer Exploration Software for Geometry

874

(4)

C.4 Graphics Calculators

878

(8)

Topic 1. Elementary Logic

886

(13)

Topic 2. Relations

899

(7)

Topic 3. Advanced Counting Techniques: Permutations and Combinations

906

(9)

Topic 4. Clock Arithmetic: A Mathematical System

915

(8)

References for Reflections from Research

923

Answers to Exercise/Problem Sets-Part A and Tests, Chapter Tests, Technology Section, and Topics and Tests Section

A1

Photo Credits

A78

Index

I1

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