Teaching Mathematics
A Sourcebook of Aids, Activities, and Strategies
3rd Edition
Published on 15. December 1998
Book
Paperback/Softback
288 pages
978-0-205-29256-1 (ISBN)
Description
This text addresses the art of teaching mathematics while also providing specific aids and activities in arithmetic, geometry, algebra, and probability and statistics for use in the classroom. The authors pay close attention to the role, importance, methods, and techniques of motivation. They present ideas that will generate attention, interest, and surprise among students, and will thus foster creative thinking.
The material is based on talks given by Sobel and Maletsky at professional meetings, as well as the actual application of their ideas in undergraduate and graduate classes they taught. Additionally, many laboratory and discovery activities have been used by the authors in teaching junior and senior high school math classes.
The material is based on talks given by Sobel and Maletsky at professional meetings, as well as the actual application of their ideas in undergraduate and graduate classes they taught. Additionally, many laboratory and discovery activities have been used by the authors in teaching junior and senior high school math classes.
More details
Edition
3rd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 229 mm
Width: 153 mm
Thickness: 15 mm
Weight
380 gr
ISBN-13
978-0-205-29256-1 (9780205292561)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Book
12/1988
2nd Edition
Allyn & Bacon
€28.42
Article exhausted; check different version
Content
Each chapter ends with "Exercises" and "Activities."
Preface.
1.The Art of Teaching.
Start the Period in an Interesting Way.
Use Historical Topics When Appropriate.
Make Effective Use of Manipulative Aids.
Make Provisions for Student Discovery.
End the Period with Something Special.
Conclusion.
2.Motivating Mathematical Learning.
Provide Opportunities for Guessing and Estimating.
Make Use of "Mathemagical" Novelties.
Introduce Unusual Arithmetic Explorations.
Make Use of Geometric Challenges.
Stimulate Interest with Mathematical Recreations.
Discuss Applications of Mathematical Concepts.
Conclusion.
3.Motivating Problem-Solving Instruction.
An Introduction to Problem Solving.
Strategy for Problem Solving: Trial and Error.
Strategy for Problem Solving: Use an Aid, Model, or Sketch.
Strategy for Problem Solving: Search for a Pattern.
Strategy for Problem Solving: Act It Out.
Strategy for Problem Solving: Make a List, Table, or Chart.
Conclusion.
4.Activities with Numerical Concepts.
Reviewing Basic Numerical Concepts.
Fractions and Decimals.
Percent.
Computational Curiosities and Games.
Number-Pattern Experiments.
Magic Squares Activities.
More Numerical Aids and Activities.
Calculator Applications.
5.Activities in Algebra.
Motivation in Algebra.
Solving Equations.
Graphing and the Graphing Calculator.
Sequences and Series Activities.
Algebraic Models to Manipulate.
More Aids and Activities.
Overhead Projector Ideas.
Calculator Applications.
6.Activities in Geometry.
Motivation in Geometry.
Polygons.
Polyhedrons.
Constructing Models.
Conic Sections.
Visualization Activities.
Measurement Experiments.
7.Activities in Probability and Statistics.
Motivation in Probability and Statistics.
Counting and Probability.
Probability Experiments.
Statistical Activities.
Games of Chance.
Making Connections to other Topics.
Calculator Simulations.
8.Iteration Activities and Fractal Patterns.
Iteration Activities.
Patterns from Triangles.
Patterns from Squares.
Constructing Fractal Patterns.
Fractal Curves.
Connections.
Epilogue.
Answers to Odd-Numbered Exercises.
Index.
Preface.
1.The Art of Teaching.
Start the Period in an Interesting Way.
Use Historical Topics When Appropriate.
Make Effective Use of Manipulative Aids.
Make Provisions for Student Discovery.
End the Period with Something Special.
Conclusion.
2.Motivating Mathematical Learning.
Provide Opportunities for Guessing and Estimating.
Make Use of "Mathemagical" Novelties.
Introduce Unusual Arithmetic Explorations.
Make Use of Geometric Challenges.
Stimulate Interest with Mathematical Recreations.
Discuss Applications of Mathematical Concepts.
Conclusion.
3.Motivating Problem-Solving Instruction.
An Introduction to Problem Solving.
Strategy for Problem Solving: Trial and Error.
Strategy for Problem Solving: Use an Aid, Model, or Sketch.
Strategy for Problem Solving: Search for a Pattern.
Strategy for Problem Solving: Act It Out.
Strategy for Problem Solving: Make a List, Table, or Chart.
Conclusion.
4.Activities with Numerical Concepts.
Reviewing Basic Numerical Concepts.
Fractions and Decimals.
Percent.
Computational Curiosities and Games.
Number-Pattern Experiments.
Magic Squares Activities.
More Numerical Aids and Activities.
Calculator Applications.
5.Activities in Algebra.
Motivation in Algebra.
Solving Equations.
Graphing and the Graphing Calculator.
Sequences and Series Activities.
Algebraic Models to Manipulate.
More Aids and Activities.
Overhead Projector Ideas.
Calculator Applications.
6.Activities in Geometry.
Motivation in Geometry.
Polygons.
Polyhedrons.
Constructing Models.
Conic Sections.
Visualization Activities.
Measurement Experiments.
7.Activities in Probability and Statistics.
Motivation in Probability and Statistics.
Counting and Probability.
Probability Experiments.
Statistical Activities.
Games of Chance.
Making Connections to other Topics.
Calculator Simulations.
8.Iteration Activities and Fractal Patterns.
Iteration Activities.
Patterns from Triangles.
Patterns from Squares.
Constructing Fractal Patterns.
Fractal Curves.
Connections.
Epilogue.
Answers to Odd-Numbered Exercises.
Index.