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)

The material is designed to help pupils investigate how the value for slope in the equation of a line affects the inclination for the graph of an equation. A program written in BASIC designed to run on an Apple microcomputer is included. Worksheet masters for duplication are provided. (MP)

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)

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

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)

An intuitive approach to exponential functions is described. Microcomputers are used to aid discovery of derivatives. (MNS)

A lesson using Logo was found to be effective when working with concepts of division. It emphasizes relationships between arithmetic and geometry in a novel way, and has been used with students in grades two and four. (MNS)

Suggested are investigations of rational numbers and their decimal representations where a computer generates the data for explorations. Conjectures and two program listings are included. (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)

Discussion of Logo use to teach children computer programing covers the educational theory behind Logo, how it differs from other programing languages, its educational promise, its graphics capabilities, Logo research, and different versions available. It is argued that educational computing will succeed only if it provides new ways of teaching.…

Discusses the use of the computer software MINITAB in teaching statistics to explore concepts, simulate games of chance, transform the normal variable into a z-score, and stimulate small and large group discussions. (MDH)

Describes the Microworld Chance, a simulation-oriented computer environment that allows students to explore probability concepts in five subenvironments: coins, dice, spinners, thumbtacks, and marbles. Results of a teaching experiment to examine the effectiveness of the microworld in changing students' misconceptions about probability are…

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)

Demonstrates how the uniqueness and anonymity of a student's Social Security number can be utilized to create individualized polynomial equations that students can investigate using computers or graphing calculators. Students write reports of their efforts to find and classify all real roots of their equation. (MDH)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)