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)

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)

Activities for investigating how the value of a variable in an equation affects the direction and shape of the graph are given. A computer program and three worksheets are included. (MNS)

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…

Examines the use of spreadsheets for solving equations by the method of iterations. The combination of the spreadsheets and graphical representation is shown to be appropriate both for teaching and learning the method of iterations and for investigating properties of equations. (Author)

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…

This document gives instructions on how to use a Macintosh computer to create printed materials for mathematics. A Macintosh computer, Microsoft Word, and objected-oriented (Draw-type) art program, and a function-graphing program are capable of producing high quality printed instructional materials for mathematics. Word 5.1 has an equation editor…