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

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)

The development and use of an activity that uses the computer's unique capabilities to provide students with a relevant and highly motivating experience with the graphing of equations is outlined. The activity, called "Green Globs," illustrates the potential of developing new environments for learning on computers. (MP)

One way in which a computer simulation can convince students of the validity of formulas for the density and distributive functions of the sum of two variables is described. Four computer program listings are included. (MNS)

The graphing of intricate curves and the fundamental theorem of algebra lead to a third discovery with microcomputers: Lagrange polynomials. Teaching suggestions for helping students to explore continuous change, interpolation, roots, and shifting and symmetry are presented, with a computer program listing. (MNS)

A function-graphing program is given, plus a series of experiments that students can carry out using the program. (MNS)

Described is a microcomputer-based statistics laboratory accessible to students in grades six through eight. A variety of software is available. Some of the graphing possibilities are illustrated. (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)

Some experiences with a classroom computer graphics facility are recounted to show how such a facility has changed the views of some instructors teaching mathematics at the college level. Teachers are encouraged to search out and seize opportunities to acquire graphics hardware, with the added teaching capabilities promoted. (MP)

Four activities are outlined that give students the opportunity to organize and display data. Selecting topics and various ways of displaying data with a microcomputer are discussed. (MNS)

Two different numerical methods, the bisection method and simple iteration, are discussed and illustrated by approximating the real solution of an equation, with programs for the two methods included. Alternative methods are also indicated. (MNS)

The use of the microcomputer in an interactive graphics mode offers exciting possibilities for mathematics and science education. Errors made with graphs are used to introduce ideas of what should be taught. Both understanding equations and graphing utilities are stressed. (MNS)

Graphs equations in two variables using a BASIC screen-sweep program that generates solutions to equations by applying the intermediate value theorem. Provides suggestions for investigations that result in graphs of a butterfly, the Cheshire cat, the Trisectrix of Catalna, E. T. waving goodbye, a praying mantis, and others. (MDH)

Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)