Explains how a microcomputer-based algebra software system, muMATH, can be used to help students understand the theory of convergence of infinite series. Examples are given to illustrate nth term test, ratio test, comparison test, integral test, and Raabe's test. (10 references) (LRW)

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)

An overview is provided of De Anza College's use of computerized instruction in its mathematics courses. After reviewing the ways in which computer technology is changing math instruction, the paper looks at the use of computers in several course sequences. The instructional model for the algebra sequence is based on a large group format of…

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.…

Describes a system of computer assisted instruction geared primarily toward high school and university students involved in numerical analysis and optimization. Also describes (in detail) one of its modules to illustrate the general philosophy of the system. This module focuses on the simplex method. (JN)

The main aim of this paper is to demonstrate that new and highly effective computer-based learning tools can be designed by adhering to a simple principle: Good learning tools conform to and support the processes and structures that comprise learning. The paper first discusses the processes involved in learning cognitive skills, then describes…

The purpose of this study was to conduct formative and summative evaluation for Computer Integrated Instruction (CII), an alternative use of computer-assisted instruction (CAI). The non-equivalent control group, pretest-posttest design was implemented with the class as the unit of analysis. Several of the instruments were adopted from existing CAI…

Investigated the effect of mathematics instruction with the aid of microcomputer illustrations on the achievement of college students enrolled in an intermediate algebra course. There was a treatment effect on the comprehensive final examination. (YP)

Exploration of concepts crucial to development of new computer-based learning environments focuses on process rather than product and the computer's ability to record, represent, and communicate the underlying process. Cognitive, pedagogical, and sociological issues relevant to creation of learning environments in five domains (empowering…

The concerns of two teachers at a school where computer-integrated instruction was being used in five second-year algebra classes were studied. High levels of personal and management concerns, coupled with low refocusing concerns, were found. Both teachers were judges as mechanical users of computer materials. (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…

The effects on college students' (n=110) attitudes of using a microcomputer as a demonstration aid was investigated in an intermediate algebra class. Results suggest a significant treatment effect on students' attitude favoring the microcomputer treatment group. (16 references) (MDH)

Study of algebra students' response to availability of optional interactive computer graphing lessons analyzed responses of both users and non-users. Information sought included number of lessons completed, students' opinions of value and difficulty of lessons, whether students felt threatened by computer use, and relationship of gender and age to…

Describes the use of three computer tools used to enhance the teaching and learning of algebra: the spreadsheet, LOGO, and computer algebra tools. Examines the strengths of each tool and presents practical considerations for their use. (MDH)

The standards developed for reform in mathematics education by the National Council of Teachers of Mathematics (NCTM) de-emphasize the algorithmic manipulation of mathematical symbols. The NCTM takes the position that the rapidly changing workplace is an environment that requires problem-solving skills with computers being used to perform routine…