Discussed is the use of a program called MathCAD which allows students to solve higher order polynomial equations and geometry problems. The use of cooperative learning is emphasized. Included are graphs and part of a printout generated while solving problems with MathCAD. (KR)

Integrates mathematics and science by investigating the scientific application of the Polynomial Difference Theorem using data points from an experiment. Utilizes the different capabilities of the graphing calculator to investigate a problem whose solution is a second degree equation and makes connections between the mathematical concepts involved…

Demonstrates how to construct rational, exponential, and sinusoidal functions that appear normal on one scale but exhibit interesting hidden behavior when viewed on another scale. By exploring these examples, students learn the importance of scale, window size, and resolution effects in computer and calculator graphing. (MAZ)

Stresses using the features of graphing calculators to teach parametric equations much earlier in the curriculum than is presently done. Examples using parametric equations to teach slopes and lines in beginning algebra, inverse functions in advanced algebra, the wrapping function, and simulations of physical phenomena are presented. (MAZ)

These units were produced by a team exploring the possibility of developing some of the basic concepts of mathematics through simple, but significant physical science experiments. The purpose of the entire project is to see if learning and understanding of mathematics can be improved by the use of these science-related units in mathematics…

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 article describes an approach to teaching linear equations using multiple representations in a highly motivating context. Connections among representations are made explicit to enhance understanding and empower students. (Contains 4 figures.)

Methods are described for visualizing and characterizing user interactions with hypermedia systems; they have been found to be effective in several developmental and evaluation studies. Analyzing the patterns of user interaction makes it possible to evaluate the design and usefulness of such systems. Path algebras can be used to describe and…

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…

A pentagonal model, based on the star model of function understanding of C. Janvier (1987), is presented as a framework for the design and interpretation of research in the area of learning the concept of mathematical function. The five vertices of the pentagon correspond to five common representations of mathematical function: (1) graph; (2)…

Presents reviews of five computer packages: (1) "Algebra Attack" contains games and tests; (2) "Bootstrap Stats" requires learners to write programs while studying probability and statistics; (3) "Geometry and Microcomputers" contains 13 lessons on mathematics and graphics; (4) "Math Grapher" is an algebraic…

Presents an activity through which students develop mathematical concepts connected to area and perimeter in a rich, real-life setting and use tables, graphs, diagrams, and spreadsheets to explore the problem, see relationships, and make and test conjectures about those relationships. Encourages algebraic thinking. (SYB)

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…