Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

The intent of this project was to develop a course for mathematics graduate students at Iowa State University. They would design and write computer programs for use by undergraduate mathematics students, and then offer the course and actually produce the software. Phase plane graphics for ordinary differential equations was selected as the topic.…

Presents author's view of how computer graphics produced in the classroom enhance mathematical concepts teaching. Specific concepts and related graphics presented include the convergence of power series and the Central Limit Theorem. Formal versus informal instruction, computer assisted instruction versus teaching, and requirements for future…

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

Argues that students should have dynamic perceptual experience with the concepts central to circular functions. Includes a computer program, designed for Apple II, to provide such experience. (PK)

This paper chronicles the Teaching Mathematics Using Interactive Videodisk (TMMUIV) pilot project. The project emerged in response to the need to train pre-service teachers in, among other things, the use of mathematics manipulatives. The project now can offer a video database and pilot instructional program that combines full-motion video,…

This guide lists 21 software packages considered to be worthy of further consideration by other reviewing agencies and schools by a group of 12 computer coordinators from educational software preview centers and evaluation agencies. These software products have been selected as not being likely to appear in the reviews produced by major software…

Hardware for computer-assisted learning is discussed in three papers. Two papers report on projects using computer graphics, one for teaching structural analysis to university students and the other to teach graph concepts at the secondary level. Guidelines for selecting microcomputers focus on analyzing applications and matching them with…

Discussion of the use of computers in education focuses on ways to teach with limited computer resources. Learning processes with computers are described, the teacher-student relationship is examined, and examples of instruction using only one computer are given, including simulation programs in physics and the use of spreadsheets in mathematics.…

Proposes to modify the procedure proposed by Abelson and diSessa to produce a polygonal path with vertices that lie exactly on an ellipse. Provides a detailed proof. Implements a limiting process to produce the best possible approximation to any ellipse for any given screen resolution. (CW)

Presents a tiling problem designed to be solved using the microcomputer, which will give students a context upon which to build meaning for the concepts of factors, common factors, and greatest common factors. (PK)

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

Discusses conception, design, implementation, and evaluation of a calculus course that utilizes a multi-user microcomputer system with graphics terminals. The numerical and utility routines of the software are briefly described, and examples of several types of calculus problems that can be solved utilizing the system are reviewed. (Author/MBR)

Discussion of elementary school mathematics instruction focuses on computer graphing programs to teach subtraction that use pictorial representations as well as graphs. Classroom graphing activities for first graders are described, and evaluations of student progress based on pre- and posttests are discussed. (two references) (LRW)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)