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)

Using Logo to work through a maze is described. Suggested programs to help students learn to debug programs are also included, along with the story of the original "computer bug." (MNS)

Using Logo as a companion language to BASIC is suggested. Variations on a computer program on squares are given, with follow-up activities suggested. (MNS)

Four methods of filling a square using programing with Logo are presented, with comments on children's solutions. Analysis of the mathematical or programing concepts underlying a few simple algorithms is the focus. (MNS)

Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (JN)

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)

A report on the use of microcomputers is summarized, with recommendations on algorithms and procedures, the value of short programs, programs designed for general distribution, mathematical utilities, and developments in hardware. (MNS)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

A program for drawing a line segment is developed. (MNS)

Presented is an interactive Applesoft BASIC program that graphically demonstrates the central limit theorem. It can be used as the basis of a lab to illustrate the main conclusions of the theorem. (MNS)

A motivational classroom activity involving mazes, with explorations in the Logo programing language, is described. Use of the Big Trak toy to teach programing is also described. (MNS)

Mathematical methods are used to study certain related Logo procedures in detail. Simple procedures with known properties are then used to build the higher-level procedures which correspond to higher-level mathematical concepts. Examples are from introductory aspects of number theory. (MNS)

Explores a particular method of searching for roots that lends itself well to discovery learning through writing a computer program. The teacher-student interaction is given, and two computer program listings are included. (MNS)