Rent 9780941355254 | About Teaching Mathematics : A K-8 Resource

Summary Table of Contents

This Book has Provided Teachers with Practical Wisdom and Guidance for Building Student Understanding and Skills Through a Problem Solving Approach to Teaching Mathemics

Raising the Issues

(42)

Introduction

(2)

A Perspective on Arithmetic

... MORE

(3)

Examining Children's Common Arithmetic Errors

(4)

Using Word Problems to Develop Arithmetic Understanding

(3)

Beyond Word Problems

(9)

What Is and Is Not a Problem?

(3)

Problem-Solving Strategies

(2)

The Pros and Cons of Problem Solving

(3)

How Children Learn Mathematics

(5)

Managing the Classroom for Problem Solving

(14)

Cooperative Problem Solving in the Classroom

(2)

Teaching the Cooperative Problem-Solving Lesson

(3)

A Sample Lesson-The Consecutive Sums Problem

(2)

Independent Problem Solving-The Menu

(2)

Sample Classroom Management Plans

(1)

Organizing the Instructional Program

(2)

Getting Started

(1)

Problem-Solving Activities in the Strands

(94)

Introduction

(1)

Measurement

(13)

Introduction

(2)

A Sample Activity-Body Ratios

(2)

A Sample Activity-Introducting the Metric System

(3)

Activities

(6)

Probability and Statistics

(20)

Introduction

(2)

A Sample Activity-Spinner Experiments

(3)

Activities

(11)

Graphing in the Classroom

(4)

Geometry

(21)

Introduction

(1)

A Sample Activity-Pentominoes

(3)

Activities

(17)

Logical Reasoning

100

(12)

Introduction

100

(1)

A Sample Activity-The Game of Poison

101

(1)

Activities

102

(10)

Patterns, Functions, and Algebra

112

(13)

Introduction

112

(1)

Introducing Patterns

112

(1)

Developing Understanding of Functions

113

(2)

Uses of Variables

115

(1)

A Sample Activity-Painting Towers

115

(1)

Activities

116

(9)

Number

125

(12)

Introduction

125

(1)

A Sample Activity at the Primary Level-Number Sums

126

(1)

A Sample Activity at the Intermediate Level-Palindromes

127

(2)

Activities

129

(8)

Teaching Arithmetic

137

(116)

Introduction

139

(22)

The Mismatch Between School Arithmetic and Real-Life Arithmetic

140

(1)

What Are the Basics in Arithmetic?

141

(2)

Results from Classroom Research

143

(5)

The Limits of Learning Rules

148

(2)

Teaching ``What to Do'' Versus Teaching ``What to Do and Why''

150

(3)

Having Students Invent Algorithms

153

(3)

Questions Teachers Ask

156

(2)

Relating Arithmetic to Real Life

158

(1)

How Can Arithmetic Understanding Be Developed?

159

(2)

Beginning Number Concepts

161

(12)

Introduction

161

(1)

Whole Class Lessons

161

(7)

Independent Activities (Menu)

168

(3)

Assessing Understanding of Beginning Number Concepts

171

(2)

Place Value

173

(10)

Introduction

173

(1)

Whole Class Lessons

173

(4)

Independent Activities (Menu)

177

(4)

Assessing Understanding of Place Value

181

(2)

Addition and Subtraction

183

(11)

Introduction

183

(1)

Whole Class Lessons

183

(4)

Independent Activities (Menu)

187

(5)

Assessing Understanding of Addition and Subtraction

192

(2)

Multiplication

194

(10)

Introduction

194

(1)

Whole Class Lessons

194

(4)

Independent Activities (Menu)

198

(5)

Assessing Understanding of Multiplication

203

(1)

Division

204

(8)

Introduction

204

(1)

Whole Class Lessons

204

(5)

Independent Activities (Menu)

209

(2)

Assessing Understanding of Division

211

(1)

Expanding Multiplication and Division

212

(11)

Introduction

212

(1)

Whole Class Lessons

213

(6)

Independent Activities (Menu)

219

(3)

Assessing Understanding of Multiplication and Division with Large Numbers

222

(1)

Fractions

223

(15)

Introduction

223

(1)

Whole Class Lessons

224

(9)

Independent Activities (Menu)

233

(3)

Assessing Understanding of Fractions

236

(2)

Decimals

238

(7)

Introduction

238

(1)

Whole Class Lessons

238

(4)

Independent Activities (Menu)

242

(2)

Assessing Understanding of Decimals

244

(1)

Percents

245

(8)

Introduction

245

(1)

Whole Class Lessons

245

(4)

Independent Activities (Menu)

249

(3)

Assessing Understanding of Percents

252

(1)

Mathematical Discussions

253

(56)

Introduction

255

(1)

Measurement Problems

256

(5)

Squaring Up

256

(1)

Box Measuring

257

(1)

Round Things

258

(1)

Wrap-Around

258

(1)

Double the Circumference

259

(1)

The Area Stays the Same

260

(1)

Probability and Statistics Problems

261

(11)

Shake and Spill

261

(1)

Two-Coin Toss

262

(1)

Shake and Spill Revisited

263

(2)

Got a Match?

265

(1)

The X-O Problem

266

(1)

How Many Throws? and How Many Ways?

267

(3)

Fair Game 1

270

(1)

Fair Game 2

271

(1)

Geometry Problems

272

(13)

The Tangram Puzzle

272

(5)

That's Just Half the Story

277

(1)

Interior Regions

278

(1)

Straight or Curved

278

(1)

No-Lift Letters and More No-Lift Letters

279

(1)

Square Partitioning

280

(1)

The Banquet Table Problem

281

(1)

The Four-Triangle Problem

282

(1)

Geoboard Line Segments

282

(1)

Area on the Geoboard

283

(2)

Logical Reasoning Problems

285

(7)

King Arthur's Problem

285

(3)

The Prison Problem

288

(1)

The Three Sacks Problem

289

(1)

The Orange Juice and Water Problem and The Two-Color Problem

290

(1)

Riddles with Color Tiles

291

(1)

Patterns, Functions, and Algebra Problems

292

(5)

The Handshake Problem

292

(5)

Number Problems

297

(12)

Number Sums

297

(2)

Making Change

299

(3)

How Many Sums?

302

(2)

Change from a $10.00 Bill

304

(1)

Multiplication Possibilities

304

(2)

The Postage Stamp Problem

306

(2)

Arrow Arithmetic

308

(1)

Bibliography

309

(8)

Blackline Masters

317

(24)

List of Activities

341

(4)

Index

345

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