In this paper, we report on a case study that focused on innovative uses of CAS technology in university mathematics teaching and assessment. The study involved a site visit to the University of Alberta campus (June 2015) during which: interviews were conducted with five mathematics faculty members and seven mathematics students; math lectures…

This article describes an applet that facilitates investigation of Simpson's Paradox in the context of a number of real and hypothetical data sets. The applet builds on the Baker-Kramer graphical representation for Simpson's Paradox. The implementation and use of the applet are explained. This is followed by a description of how the applet has…

Explores the production of shadows for drawings using the LOGO computer language and Affine Geometry. Explains the methodology of the shadowing and lists the Affine Turtle procedures. Provides for different versions of LOGO. (MVL)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Notes muMATH is a powerful computer algebra systems assistant for performing symbol manipulation in algebra and calculus. Provides several examples and program listings for calculus tutoring, differentiation drill problems, and integration drill problems. (MVL)

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Computer labs using Calculus T/L were introduced into Calculus I classes at Christopher Newport University. A description of the labs, the instructor's experiences in using the labs, and student reactions are detailed. Contains instructions for Lab I involving inputting functions, finding difference quotients, and sketching a graph. (Author/MDH)

Argues that computer instantiations of abstract concepts could assist mathematics education by providing concrete experiences and by inducing the mental process of construction that Piaget called reflexive abstraction. College students with computer experiences scored higher than those taught with traditional methods on a test of functions and…

Identifies and proves two theorems related to expressing rational numbers in decimal form for any natural base m>1. Includes two BASIC computer programs with sample runs. (MVL)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

This report describes a computer-based instructional system, the Story Problem Solver (SPS). SPS provides students with instruction about the semantic structure of story problems. It was developed to test a specific schema theory of knowledge organization in long-term memory. For this reason SPS depends explicitly upon a theory of the relationship…

Discusses the present status of mathematics teaching for engineering students in Spain. Stresses the importance of mathematics (particularly numerical analysis) and computers to engineers in the future. Promotes the motivation of engineering students in the joint use of mathematics and computers. (TW)

Examined is a basic skills/remedial mathematics program at Medgar Evers College from 1978 to the present which uses computer assisted instruction and computer managed instruction. Described is the program and a systems approach. Investigated are the learner, instruction, and teacher parameters. (MVL)