The generation by computers of random numbers is discussed. A BASIC program is given that will generate a set of normally-distributed random numbers. (MP)

Difficulties encountered when drawing the graphs of linear equations are discussed. Programs are developed to overcome these and worksheets are given for further practice. (MP)

Equations or systems of equations can be associated with letters of the alphabet printed in the coordinate plane. Messages can be coded and decoded with a computer or by hand. (SD)

Included in this department are brief articles on generating primitive Pythagorean triples with a computer program; using pictographs or pictures on graph paper to teach general graphing concepts; a method for factoring trinomials; and summing the harmonic series. (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)

A set of rules is given for developing pairs of numbers which can be plotted on a graph, to provide practice not only with graphing but also with computation. (JT)

An unusual shape is considered, and properties and steps in drawing it are detailed. The focus is on development and presentation of a computer program that will draw the curve. The program is written in BASIC with special plotting commands for a Techtronix computer, but is adaptable to other systems. (MP)

A program designed to plot three-dimensional graphs is described and presented. The program allows the user to select maximum and minimum ranges for X, Y, and Z, and can enlarge a graph on the screen or look at a portion away from the origin. It is in Applesoft BASIC. (MP)

The use of a computer to help honors second-year algebra students graph quadratic and higher-order polynomials is discussed. Sample computer programs are included. (MP)

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

A program developed by a high school freshman is presented that plots unusual graphs on the screen of a TRS-80 computer. The view promoted is that teachers of advanced mathematics should not be surprised if new ways of looking at the subject come from students interacting with computers. (MP)

On these worksheets, students are to graph pairs of linear equations and linear combinations of these pairs, using the results to discover an algebraic technique for solving a system of epuations. They then complete, run, and modify a computer program for solving a system of linear equations. (MNS)

An introductory unit on slope, designed to give students a chance to discover some of the basic relationships between functions and slopes, is described. Programs written in BASIC for PET microcomputers were used. It is felt that students have the background to understand derivatives after experiences with this unit. (MP)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)