Discusses students' uses of certain programs, in contrast to writing them. Three programs are discussed: one on nonreal roots, one on dividing polynomials by quadratic polynomials, and one on "unfactoring." (MNS)

When students first meet the concepts of mean and standard deviation, it is desirable that data be generated on the spot by the students themselves. How this can be done with a microcomputer is presented. The program for "Stop the Stars" is included. (MNS)

How set theory, combinatorics, probability, and the study of algorithms can be used in solving two problems is described in detail. Three computer programs are listed. (MNS)

Use of the computer program "Integrate Using Definition" can help students develop understanding of integral. Several applications of the program are discussed. (MNS)

Reported are several attempts to approximate Pi by using a microcomputer to calculate the ratio of the perimeter to the diameter of regular polygons enscribed in a circle. Three computer programs are listed. (MNS)

Microcomputer programs that help students calculate permutations and combinations are developed. Listings of five programs are included. (MNS)

Two graphics programs for students in grades six-12 are given. "Circle Through 3 Points" and "Star Polygons." Students gain familiarity with the xy-plane, the radii and centers of circles, and ellipses, while more advanced students learn about parametric equations and using random numbers to produce random shapes. (MNS)

The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

Presents three problems, each with a computer solution in BASIC programming language: (1) finding sum equals product for three-digit numbers; (2) finding cases of improper cancellation that give a correct answer; and (3) finding perfect numbers. Some suggestions for further investigation are included. (JN)

Use of Logo to teach statistical ideas is proposed for students in grades 5-10. Procedures and diagrams are suggested, with program listings for four models for graphs. (MNS)

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)

Described is a simple algorithm that can be used for the input, arithmetic manipulation, and output of large integers in their exact representations. Three BASIC programs are included that apply this method to the problem of multiplication of large integers, computation of factorials, and the generation of palindromic integers. (MNS)

A realistic problem is presented, computing the probability of winning a sports playoff series if the probability if winning a single game is known. Only simple permutation formulas and some basic logic are required to solve the problem. Two computer programs and a discussion of solution methods are included. (MNS)

Several examples of mathematical diagnosis using microcomputer software are presented, with possible future considerations suggested. Three limitations of the software are discussed. (MNS)

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)