Teaching Mathematics: A Sourcebook of Aids, Activities, and Strategies / Edition 3

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Overview

The art of teaching math lies in the ability of the instructor to motivate and inspire individuals to look beyond the numbers and understand the concepts. This book is designed to revive this art, focusing more on the aspects of learning the ideas behind the math rather than the sheer mechanics of mathematical operation. 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 in the text is based on talks given by the authors 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 authors in teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.

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Editorial Reviews

Booknews
Designed to make mathematics fun for both teachers and their elementary and secondary students, this book discusses the role, importance, methods, and techniques of motivation; problem solving; the use of graphing calculators, computers, and even the Internet in the curriculum; aids and activities in arithmetic, algebra, geometry, and probability and statistics; selected concepts from discrete mathematics; and fractals. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780205292561
  • Publisher: Pearson
  • Publication date: 11/20/1998
  • Edition description: Subsequent
  • Edition number: 3
  • Pages: 288
  • Product dimensions: 5.90 (w) x 8.80 (h) x 0.70 (d)

Table of Contents

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.

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