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 document is the fourth of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use…

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

How microcomputers are to be utilized in on-going mathematics instruction is discussed. In the first section, the ideas of Skinner are considered in relation to microcomputer use. How computer-assisted instruction would appear when Skinner's programmed learning suggestions are followed is described, and other points of his philosophical beliefs…

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills, requiring them to develop and apply their own logic structures. This paper describes a microcomputer based…

This document summarizes the findings of the Second International Mathematics Study relative to calculator and computer usage by students in 20 countries. Two target populations were identified. The data on these two populations were provided by three basic questionnaires: (1) a school questionnaire; (2) a teacher questionnaire; and (3) a student…

This document is designed to assist teachers and administrators in Texas in the planning and implementation of the course known as Computer Mathematics I. The philosophy and intent of the course is stated, along with credit allowed, prerequisite guidelines, guidelines for teacher preparation, suggested equipment needs, sample objectives, sample…

This report was part of the total scope of The Microcomputers and Middle School Problem Solving project. It employed representational models during problem solving in order to study: (1) observable patterns in self-directed use of representational models; (2) correlations between use of models and problem-solving ability; and (3) the motives of…

This report reviews the status and use of the Time-shared Interactive Computer-Controlled Television (TICCIT), a computer-assisted instructional tool, at Northern Virginia Community College. During 1977-78, 100 terminals were available for student use and 20 for course development and faculty use. Courses available on TICCIT were Algebra I and II…

This is one of a series of computer modules designed for use by secondary students who have access to a computer. The module, designed to help students understand all facets of car-buying, includes a statement of objectives, a time schedule, a list of materials, suggested evaluation procedures, an outline for each section, and several computer…

Presents reviews of six software packages. Includes (1) "Plain Vanilla Statistics"; (2) "MathCAD 2.0"; (3) "GrFx"; (4) "Trigonometry"; (5) "Algebra II"; (6) "Algebra Drill and Practice I, II, and III." (PK)

Examines the historical development of logarithm tables. Suggests that students should write computer programs to calculate logarithms. (PK)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)