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.
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.
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.
4.Activities with Numerical Concepts.
Reviewing Basic Numerical Concepts.
Fractions and Decimals.
Computational Curiosities and Games.
Magic Squares Activities.
More Numerical Aids and Activities.
5.Activities in Algebra.
Motivation in Algebra.
Graphing and the Graphing Calculator.
Sequences and Series Activities.
Algebraic Models to Manipulate.
More Aids and Activities.
Overhead Projector Ideas.
6.Activities in Geometry.
Motivation in Geometry.
7.Activities in Probability and Statistics.
Motivation in Probability and Statistics.
Counting and Probability.
Games of Chance.
Making Connections to other Topics.
8.Iteration Activities and Fractal Patterns.
Patterns from Triangles.
Patterns from Squares.
Constructing Fractal Patterns.
Answers to Odd-Numbered Exercises.