Mathematics for Elementary Teachers : An Activity Approach with Manipulative Kit
by Bennett, Albert B.; Nelson, L. TedEdition: 6th
Format: Paperback
Pub. Date: 2003-01-29
Publisher(s): McGraw-Hill Science/Engineering/Math
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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 Pieces2 Sets, Functions, and Reasoning 2.1 Sorting and Classifying with Attribute Pieces 2.2 Graphing Spirolaterals 2.3 Logic Problems for Cooperative Learning Groups3 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 Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
1.2 Geometric Number Patterns with Color Tile 1.3 Solving Story Problems with Algebra Pieces2 Sets, Functions, and Reasoning 2.1 Sorting and Classifying with Attribute Pieces 2.2 Graphing Spirolaterals 2.3 Logic Problems for Cooperative Learning Groups3 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 Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
2 Sets, Functions, and Reasoning 2.1 Sorting and Classifying with Attribute Pieces 2.2 Graphing Spirolaterals 2.3 Logic Problems for Cooperative Learning Groups3 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 Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
2.2 Graphing Spirolaterals 2.3 Logic Problems for Cooperative Learning Groups3 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 Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
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 Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
3.2 Adding and Subtracting with Multibase Pieces 3.3 Multiplying with Base-Ten Pieces 3.4 Dividing with Base-Ten Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
3.4 Dividing with Base-Ten Pieces4 Number Theory 4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes 4.2 Models for Greatest Common Factor and Least Common Multiple5 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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
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 Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
5.2 Fraction Bar Model for Equality and Inequality 5.3 Computing with Fraction Bars6 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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
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 Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
6.2 Operations with Decimal Squares 6.3 A Model for Introducing Percent 6.4 Irrational Numbers on the Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
6.4 Irrational Numbers on the Geoboard7 Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling, and Simulation 7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
7.3 Statistical Distributions: Observations and Applications8 Probability 8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
8.1 Probability Experiments 8.2 Mulitstage Probability Experiments9 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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
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 Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
9.2 Regular and Semiregular Tessellations 9.3 Models for Regular and Semiregular Polyhedra 9.4 Craeating Symmetric Figures: Pattern Blocks and Paper Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
9.4 Craeating Symmetric Figures: Pattern Blocks and Paper Folding10 Measurement 10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
10.1 Measuring with Metric Units 10.2 Areas on Geoboards 10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
10.3 Models for Volume and Surface Area11 Motions in Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
11.3 Devices for Indirect MeasurementAnswers to PuzzlersAnswers to Selected Activities
Answers to Selected Activities
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