Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…

The main aim of this study is to integrate cooperative learning strategies, mastery learning and interactive multimedia to improve students' performance in Mathematics, specifically in the topic of matrices. It involved a quasi-experimental design with gain scores and time-on-task as dependent variables. The independent variables were three…

Discussion of the use of computers in math instruction highlights two possibilities suggested in response to an earlier journal column: (1) a program written in BASIC for producing spirolaterals, and (2) the use of LOGO list processing to solve matrix problems for exploring geometric transformations. (LRW)

This study examined indirect communication patterns among professionals in the computer-based instruction field by analyzing citations from the Journal of Computer-Based Instruction. The patterns found provide the basis for identifying invisible colleges, defined here as communication networks that facilitate the diffusion of knowledge and direct…

Discusses difficulties of producing computer assisted learning (CAL) software economically. Proposed as a solution, modular programing is illustrated by describing production of a matrix algebra package. Use of special CAL modules and facilities provided by subroutine libraries are cited, and development of a package to teach matrix theory is…

Discussion of computer implementation and computer technology integration in classrooms focuses on a study that developed and validated a measure for examining the quality of implementation of an integrated learning system (ILS). Explains the Concerns Based Adoption Model and identifies implementation practices of teachers that indicated…

Describes methods for item construction for computer-based instruction (CBI). Use of a rational set generator (RSG) in presenting an adaptive sequence of items to the learner is described; a model matrix of a computer-based RSG is presented; concrete and defined concepts are discussed; and rule using is explained. (Four references) (LRW)

Uses a matrix to identify conceptual gaps in a bibliographic instruction program at an academic library and discusses a curriculum design model that includes objectives in the affective and sensorimotor domains as well as cognitive instruction. Application of the model to a computer-assisted bibliographic instruction project is described. (10…

Discusses and defines immediate and delayed feedback as they apply to computer-assisted instruction and testing. A research classification matrix is presented to provide a framework for classifying existing feedback studies and to guide future research, and a sample bibliography classified according to the matrix is given. (31 references) (LRW)

Symbolic Interactive Matrix Processing Language (SIMPLE) is a conversational matrix-oriented source language suited to a batch or a time-sharing environment. The two modes of operation of SIMPLE are conversational mode and programing mode. This program uses a TAURUS time-sharing system and cathode ray terminals or teletypes. SIMPLE performs all…

Described is an approach to computational matrix algebra that takes advantage of a high quality, low cost microcomputer software package. The examples and applications discussed focus on matrix multiplication. (Author/CW)

The study described in this paper produced a comprehensive model for the design of micro- or minicomputer systems containing concepts and practices that educational administrators can use for the successful design of school district computer systems. This report focuses on the methodology used to build the model, which included the following…

The author presents two examples of lattice multiplication followed by a computer algorithm to perform this multiplication. The algorithm is given in psuedocode but could easily be given in Pascal. (PK)

The article discusses the use of computers to teacher college level mathematics. In particular, the Gaussian elimination procedure for solving a system of n linear equations in n unknowns, using a computer, is examined. (PK)