Teaching Mathematics : A Sourcebook of Aids, Activities, and Strategies

by ;
Edition: 3rd
Format: Paperback
Pub. Date: 1998-11-17
Publisher(s): Pearson
List Price: $92.44

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Summary

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.

Table of Contents

Preface ix
Chapter 1: The Art of Teaching
1(32)
1.1 Start the Period in an Interesting Way
1(3)
1.2 Use Historical Topics When Appropriate
4(8)
1.3 Make Effective Use of Manipulative Aids
12(4)
1.4 Make Provisions for Student Discovery
16(7)
1.5 End the Period with Something Special
23(6)
1.6 Conclusion
29(1)
Exercises
30(1)
Activities
31(2)
Chapter 2: Motivating Mathematical Learning
33(32)
2.1 Provide Opportunities for Guessing and Estimating
34(2)
2.2 Make Use of "Mathemagical" Novelties
36(4)
2.3 Introduce Unusual Arithmetic Explorations
40(3)
2.4 Make Use of Geometric Challenges
43(8)
2.5 Stimulate Interest with Mathematical Recreations
51(3)
2.6 Use Bulletin Board Displays to Generate Interest
54(4)
2.7 Discuss Applications of Mathematical Concepts
58(2)
2.8 Conclusion
60(1)
Exercises
61(3)
Activities
64(1)
Chapter 3: Motivating Problem-Solving Instruction
65(24)
3.1 An Introduction to Problem Solving
66(3)
3.2 Strategy for Problem Solving: Trial and Error
69(3)
3.3 Strategy for Problem Solving: Use an Aid, Model, or Sketch
72(4)
3.4 Strategy for Problem Solving: Search for a Pattern
76(3)
3.5 Strategy for Problem Solving: Act It Out
79(2)
3.6 Strategy for Problem Solving: Make a List, Table, or Chart
81(3)
3.7 Conclusion
84(1)
Exercises
85(2)
Activities
87(2)
Chapter 4: Activities with Numerical Concepts
89(39)
4.1 Reviewing Basic Numerical Concepts
89(2)
4.2 Fractions and Decimals
91(7)
4.3 Percent
98(2)
4.4 Computational Curiosities and Games
100(1)
4.5 Number-Pattern Experiments
101(7)
4.6 Magic Squares Activities
108(7)
4.7 More Numerical Aids and Activities
115(7)
4.8 Calculator Applications
122(3)
Exercises
125(1)
Activities
126(2)
Chapter 5: Activities in Algebra
128(35)
5.1 Motivation in Algebra
128(4)
5.2 Solving Equations
132(3)
5.3 Graphing and the Graphing Calculator
135(4)
5.4 Sequences and Series Activities
139(5)
5.5 Algebraic Models to Manipulate
144(4)
5.6 More Aids and Activities
148(3)
5.7 Overhead Projector Ideas
151(4)
5.8 Calculator Applications
155(4)
Exercises
159(2)
Activities
161(2)
Chapter 6: Activities in Geometry
163(44)
6.1 Motivation in Geometry
163(3)
6.2 Polygons
166(7)
6.3 Polyhedrons
173(6)
6.4 Constructing Models
179(4)
6.5 Conic Sections
183(8)
6.6 Visualization Activities
191(7)
6.7 Measurement Experiments
198(6)
Exercises
204(1)
Activities
205(2)
Chapter 7: Activities in Probability and Statistics
207(29)
7.1 Motivation in Probability and Statistics
207(3)
7.2 Counting and Probability
210(5)
7.3 Probability Experiments
215(6)
7.4 Statistical Activities
221(3)
7.5 Games of Chance
224(4)
7.6 Making Connections to Other Topics
228(1)
7.7 Calculator Simulations
229(4)
Exercises
233(1)
Activities
234(2)
Chapter 8: Iteration Activities and Fractal Patterns
236(35)
8.1 Iteration Activities
236(7)
8.2 Patterns from Triangles
243(5)
8.3 Patterns from Squares
248(5)
8.4 Constructing Fractal Patterns
253(5)
8.5 Fractal Curves
258(4)
8.6 Connections
262(5)
Exercises
267(2)
Activities
269(2)
Epilogue 271(4)
Answers to Odd-Numbered Exercises 275(6)
Index 281

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