Some background information and guidelines on computer generation of random numbers is presented. Sections concern ways of generating random numbers and descriptions of statistical tests. (MNS)

The study of number bases, facilitated by programing a microcomputer, helps students make mathematics discoveries. Several programs are given and discussed. (MNS)

In one school, algorithmic development has been infused in the mathematics curriculum. An example of what occurs in mathematics classes since the teachers began using the computer is given, with two students' conjectures included as well as the algebraic justification. (MNS)

A computer program that allows students to simulate an experiment in probability is given, with specific suggestions on how to use and study the program. (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)

A sequence of exploratory activities is designed to help beginners use the BASIC language and make simple pictures by graphing pairs of numbers. (MNS)

An application of spreadsheets, not specific to any particular spreadsheet, is provided. It provides an exploration involving numbers in the form of 3x3 magic squares and 3x3 magic cubes. Strategies for their use are noted. (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)

Offers examples of loss of accuracy when using digital computing devices. Discusses causes for loss of accuracy and methods of preventing loss. Presents implications that loss of accuracy has for mathematics instruction. (MDH)

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)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

Two computer games, Guess and Rule, can be used to improve students' thinking strategies. BASIC and Logo programs are given for each game, and facts and additional references are included. (MNS)

Suggestions for using a computer disc containing unprotected programs are given. The Fibonacci sequence, prime factorization, sum puzzlers, and other examples are described. (MNS)

Abundant and deficient positive integers are investigated, with a computer program listed. (MNS)