About Teaching Mathematics: A K-8 Resource (Second Edition)

by Marilyn Burns

Paperback, 2000

Status

Available

Call number

MATH B.

Publication

Math Solutions Publications (2nd Edition)

Pages

348

Description

In this fourth edition of her signature resource, Marilyn presents her current thinking and insights and includes ideas from her most recent teaching experiences. Part 1, Starting Points, reflects the major overhaul of this book and addresses twenty-three issues important to thinking about teaching mathematics today. Part 2, Problem-Solving Investigations, opens with how to plan problem-solving lessons; followed by whole-class, small-group, and individual investigations organized into five areas of the curriculum: Measurement, Data, Geometry, Patterns and Algebraic Thinking, and Number and Operations. Part 3, Teaching Arithmetic, focuses on the cornerstone of elementary mathematics curriculum, offering ideas and assessments that build students understanding, confidence, and competence in arithmetic. In Part 4, Questions Teachers Ask, features Marilyn's responses to pedagogical questions she's received from teachers over the years.… (more)

Description

Containing information necessary for teachers to teach math through problem solving, this resource is filled with engaging activities from every strand of mathematics.

Table of Contents:
Part I Raising the Issues
Introduction
You Can't Teach What You Don't Understand
A Perspective on Arithmetic
Examining Children's Common Arithmetic Errors
Using Words Problems to Develop Arithmetic Understanding
Problem Solving Beyond Word Problems
Building Number Sense
How Children Learn Mathematics
The Role of Manipulative Materials
The Importance of Class Discussions
Incorporating Writing into Math Instruction
Teaching Math Vocabulary
Using Children's Literature
Linking Assessment and Instruction
Managing Classroom Instruction
Part II Instruction Activities for the Content Standards
Introduction
Measurement
Overview
Why Teach Measurement
What Concepts in Measurement Should be Taught?
A Sample Activity: Body Ratios
A Sample Activity: Introducing the Metric System
Activities
Probability and Statistics
Overview
Why Teach Probability and Statistics
What Concepts in Probability and Statistics Should be Taught?
A Sample Activity: Spinner Experiments
Activities
Graphing in the Classroom
Geometry and Spatial Sense
Overview
Why Teach Geometry and Spatial Sense?
A Sample Activity: Pentominoes
Activities
Logical Reasoning
Overview
Why Teach Logical Reasoning?
What Concepts in Logical Reasoning Should Be Taught?
A Sample Activity: The Game of Poison
Activities
Patterns, Functions, and Algebra
Overview
What's Important about Patterns, Functions, and Algebra?
Introducing Patterns
Developing Understanding of Functions
Use of Variables
A Sample Activity: Painting Towers
Activities
Number and Operations
Overview
What Concepts in Number Should Be Taught?
A Sample Activity at the Primary Level: Number Sums
A Sample Activity at the Intermediate Level: Palindromes
Activities
Part III Teaching Arithmetic
Introduction
What are the Basics in Arithmetic?
Results from Classroom Research
The Limits of Learning Rules
Teaching "What to Do" Versus Teaching "What to Do and Why"
Multiple Strategies for Computing
Questions from Teachers
Relating Arithmetic to Real Life
How Can Arithmetic Understanding Be Developed?
Beginning Number Concepts
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Place Value
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Addition and Subtraction
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Multiplication
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Division
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Expanding Multiplication and Division
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Fractions
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Decimals
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Percents
Overview
Whole Class Lessons
Independent Activities (Menu)
Assessing Understanding
Part IV Mathematical Discussions
Introduction
Measurement Problems 256
Squaring Up 256
Box Measuring 257
Round Things 258
Wrap-Around 258
Double the Circumference 259
The Area Stays the Same 260
Probability and Statistics Problems 261
Shake and Spill 261
Two-Coin Toss 262
Shake and Spill Revisited 263
Got a Match? 265
The X-0 Problem 266
How Many Throws? and How Many Ways? 267
Fair Game 1 270
Fair Game 2 271
Geometry Problems 272
The Tangram Puzzle 272
That's Just Half the Story 277
Interior Regions 278
Straight or Curved 278
No-Lift Letters and More No-Lift Letters 279
Square Partitioning 280
The Banquet Table Problem 281
The Four-Triangle Problem 282
Geoboard Line Segments 282
Area on the Geoboard 283
Logical Reasoning Problems 285
King Arthur's Problem 285
The Prison Problem 288
The Three Sacks Problem 289
The Orange Juice and Water Problem and The
Two-Color Problem 290
Riddles with Color Tiles 291
Patterns, Functions, and Algebra Problems 292
The Handshake Problem 292
Number Problems 297
Number Sums 297
Making Change 299
How Many Sums? 302
Change from a $10.00 Bill 304
Multiplication Possibilities 304
The Postage Stamp Problem 306
Arrow Arithmetic 308

Collection

Barcode

3519

Language

Original language

English

Physical description

348 p.; 11 inches

ISBN

094135525X / 9780941355254

Rating

½ (8 ratings; 3.6)

Call number

MATH B.
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