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)

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)

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)

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)

States the objectives and implementation procedures for this teacher-directed or individualized learning discovery unit. Describes the value of the program and additional activities that can be included. Shows a copy of the program. (RT)