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)

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

Describes computer simulation programs that take elementary and secondary students exploring. One has students act as Magellan commanding his ship to reinforce history, geography, decision-making, and resource management skills. Another has students use problem-solving skills to venture across oceans and find trading routes to the Orient. (SM)

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)

Describes a series of programs written in Logo that have been used successfully to support young children's programing efforts. These programs remove the mechanical obstacles of typing, spelling, and estimating distances; remove the demands of abstract planning and ordering instruction; and provide a set of programing procedures. (MBR)

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…

Three general areas in which technology (microcomputers and video technology) can facilitate learning are discussed: (1) helping students develop fluency (rapid recognition of familiar patterns); (2) providing rich problem-solving contexts that invite thinking; and (3) enabling students to create products that catch the attention of their teachers…

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)

This paper describes how electronic spreadsheet simulators, originally designed to simulate and replace large paper worksheets used in accounting and financial planning, can be used to study and explore functional relationships among a number of parameters. As a way of providing a context for understanding this application of a spreadsheet…

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Discusses specific ways to maximize microcomputer use in elementary and secondary schools including peer tutoring, individualized feedback, cooperative and discovery learning, tournament competition, drills and practice, student developed materials, creative problem solving, creative writing, databases, keyboarding, and student software…

This study examined relationships between learning style and computer-assisted discovery learning. Secondary students used computer-assisted instruction (CAI) to learn biology under three discovery learning circumstances. The main factor affecting the effectiveness of learning was students' initial acquisition of biology. Learning style and type…