A unit on the quadratic equation is described. The discovery approach is used and the computer is integrated into the study of mathematics. (MK)

Having students try to generate their own random numbers can lead to much discovery learning as one tries to create 'patternlessness' from formulas. Developing an equidistribution test and runs test, plus other ideas for generating random numbers, is discussed, with computer programs given. (MNS)

Suggestions are given for having students write or modify computer programs for listing prime positive integers and continued fractions, to help them discover mathematical concepts. Sample programs are included. (MNS)

Uses Derive as an instructional tool to investigate asymptotic behavior of rational functions. Activities focus on reducing manipulation and computation and on generating multiple examples to focus on discovery of the concept rather than a summary of rules. (MLN)

Examples of composite functions present students with intriguing questions that they can explore using calculators and computers, geometric and algebraic methods, and approximation techniques. Student-centered activities allow students to make discoveries about functions. (MLN)