Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Past beliefs about numbers are presented, concerning odd, even, perfect, prime, and amicable numbers; specific numbers between 1 and 13; gematria or assigning values to letters; and numerology. (MNS)

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

Exploring the strategies used in simple games for two players is discussed. Six games are briefly described, followed by suggestions for analyzing them. (MNS)

Presents activities designed to help young children learn basic notions of estimation (or "about how much"). The subcategories included in the article are: "About How Many"; "About How Long or How Far"; "About How Big"; and "About How Many with Very Large Amounts." (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)

Found that there was significantly improved achievement of students whose teachers received diagnostic error information from a microcomputer program compared to teachers who did not receive such information. Explanations for the improved achievement and implications for mathematics instruction are addressed. (JN)

A study of a class of numbers called 'Good numbers' can provide students with many opportunities for investigation, conjecture, and proof. Definitions and proofs are presented along with suggested questions. (MNS)

Writing short computer programs can help students to develop an understanding of random processes in probability. Three sample programs are included. (MNS)

How to take an existing magic square and surround it with a magic border is described, with a number of examples. (MNS)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

The historical origin of star-polygons is noted and the mathematics of them presented, with illustrations. Seven theorems are included, as well as a computer program designed to classify star-polygons. (MNS)

Constructing solids, number of possible solids, properties of the series, general terms, and sum of the series are each described and illustrated. (MNS)

The relationship between automatization ability, as measured by the "Rapid Automatic Naming Test" (RAN), and proficiency in arithmetic basic fact computation was investigated with 120 learning disabled (LD) and 120 nondisabled children between 8 and 13 years of age. (Author/SW)