Mathematics for Elementary Teachers : An Activity Approach with Manipulative Kit

by Bennett, Albert B.; Nelson, L. Ted

• ISBN13: 9780072863574
• ISBN10: 0072863579
• Edition: 6th
• Format: Paperback
• Copyright: 2003-01-29
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

This book is designed for courses in mathematics for instructors who choose to focus on and/or take an activities approach. This book provides inductive activities for prospective elementary school teachers and incorporates the use of physical models, manipulatives, and visual images to develop concepts and encourage higher level thinking. (This text contains activity sets, one corresponding to each section of the companion text, Mathematics for Elementary Teachers: A Conceptual Approach (also by Bennett/Nelson). The Activities Approach text can be used independently or along with its companion volume.)

Table of Contents

1 Problem Solving

1.1 Seeing and Extending Patterns with Pattern Blocks

1.2 Geometric Number Patterns with Color Tile

1.3 Solving Story Problems with Algebra Pieces

2 Sets, Functions, and Reasoning

2.1 Sorting and Classifying with Attribute Pieces

2.2 Graphing Spirolaterals

2.3 Logic Problems for Cooperative Learning Groups

3 Whole Numbers

3.1 Models for Numeration with Multibase Pieces

3.2 Adding and Subtracting with Multibase Pieces

3.3 Multiplying with Base-Ten Pieces

3.4 Dividing with Base-Ten Pieces

4 Number Theory

4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes

4.2 Models for Greatest Common Factor and Least Common Multiple

5 Integers and Fractions

5.1 Black and Red Tile Model for Integers

5.2 Fraction Bar Model for Equality and Inequality

5.3 Computing with Fraction Bars

6 Decimals: Rational and Irrational

6.1 Decimal Squares Model

6.2 Operations with Decimal Squares

6.3 A Model for Introducing Percent

6.4 Irrational Numbers on the Geoboard

7 Statistics

7.1 Scatter Plots: Looking for Relationships

7.2 Analyzing Data, Sampling, and Simulation

7.3 Statistical Distributions: Observations and Applications

8 Probability

8.1 Probability Experiments

8.2 Mulitstage Probability Experiments

9 Geometric Figures

9.1 Figures on Rectangular and Circular Geoboards

9.2 Regular and Semiregular Tessellations

9.3 Models for Regular and Semiregular Polyhedra

9.4 Craeating Symmetric Figures: Pattern Blocks and Paper Folding

10 Measurement

10.1 Measuring with Metric Units

10.2 Areas on Geoboards

10.3 Models for Volume and Surface Area

11 Motions in Geometry

11.1 Locating Sets of Points in the Plane

11.2 Drawing Escher-Type Tessellations

11.3 Devices for Indirect Measurement

Answers to Puzzlers

Answers to Selected Activities