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)

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

Stressed is a conceptual approach to absolute value, based on the visualization of the graphs of absolute-value equations. An important by-product is predicting a graph on the basis of certain constraints. Four worksheets plus teacher comments are included. (MNS)

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)

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)

Describes study of junior high school students in Israel that tested the effectiveness of microcomputer-based software designed to shape students' intuitions in the understanding of graphs of quantitative relationships. Retention and integration of microcomputer activities are discussed, and treatments for the experimental and control groups are…

Explores alternative strategies to solve algebraic equations that do not lend themselves to traditional methods. Examines one nontraditional equation by a graphical approach using a graphing utility and by a numerical approach using spreadsheets. Discusses new basic skills for algebra utilizing technology. Provides a computer program to solve…

Some specific uses of microcomputers in mathematics instruction are presented. Included are examples for generating data and patterns, checking, practice of various types, developing understanding, comparing results, simulation of experiments, introducing new ideas, solving problems, and extending into new areas. Brief computer programs are given.…

Provides a brief description, rationale for selection, and recommendations for use of: "The Geometric Supposer"; "Graphing Equations"; "Electronic Spreadsheet"; "LOGO"; "muMATH"; "The King's Rule"; "Algebra Series"; and "Golf Classic." Lists contents, costs, and…

Explores the concept of extraneous roots in radical equations using an alternative to traditional algebraic methods. Using calculator- or computer-based graphs, accounts for extraneous roots by examining the four possible cases of systems of equations that can produce the solution to the radical equation. (MDH)

This project used an "intrinsic models" approach to develop a sample of microcomputer materials on graphing linear and quadratic equations and on recognition of general functional relationships. The "intrinsic models" approach uses motivating activities which are direct expressions of the underlying mathematics. The area of…

Addresses the challenges, risks, and rewards of teaching about linear functions in a technology-rich environment from a constructivist perspective. Describes an algebra class designed for junior high school students that focuses of the representations and real-world applications of linear functions. (MDH)