In this paper, experiments with equal-length and different-length coupled pendulums were carried out measuring the frequency of energy exchange between them using microcomputer-based technology. The experiment described in this paper would be most appropriate for an introductory mechanics laboratory course. (15 references) (LZ)

This paper presents a sequence of computer-based activities aimed at achieving an intuitive understanding of the ideas and concepts underlying the Fundamental Theorem of Algebra. Deductive proofs to support students' empirical investigations are also discussed. (LZ)

This paper advocates the use of symbolic computation packages as another aid in teaching geometry. The need for such packages and their use in computerized proofs are demonstrated by a problem in high school planar geometry. (LZ)

Presented is an interactive PASCAL computer program that computes the true mortgage interest rate. The half-interval technique, a method from numerical analysis, is incorporated into the program algorithm to approximate a solution of a continuous function on a closed interval. (JJK)

Fractal geometry is introduced through examples of computational exploration of coastlines, self-similar curves, random walks, and population growth. These explorations, which include the construction of algorithms and the subsequent development and application of simple computer programs, lend themselves to self-directed study and advanced…

This review examines the use of spreadsheets to introduce students to elementary concepts of mathematical dynamical systems. Key definitions from this field as well as specific assignments that were given as part of an elective mathematics course are discussed. (LZ)

A preservice teacher education course involving the applications for a computer within the mathematics classroom is described in terms of its evolution from a workshop to a regular curricular offering. Included are samples of computer experiments which suggest computer teaching activities for the prospective teacher lacking in field experience.…

This article describes the functionality and use of a computer-based tool, called MultiMap, for investigating the properties of mappings of the plane onto itself. Examples are given of activities appropriate for mathematics students from middle school to college. (LZ)

After discussing the role of supercalculators within the business calculus curriculum, several examples are presented which allow the reader to examine the capabilities and codes of calculators specific to different major manufacturers. The topics examined include annuities, Newton's method, fixed point iteration, graphing, solvers, and…

Demonstrates the use of scientific visualization, a computer graphics technology developed to extend the use of our visual system to contexts and problem-solving situations where sight itself is not directly possible or in which normal vision fails to provide adequate opportunity for analysis. (DDR)

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)

This report describes an integrated life science/physical science HyperCard library used to enhance active learning and interdisciplinary classroom strategies. The rationale for the design of multitier problem sets as part of the library is discussed and examples of multitier question groups are given. (33 references) (LZ)

This article utilizes several examples to describe the use of MathCAD, a computer scratchpad for calculations, within a lecture-demonstration method of teaching general calculus. Both hardware requirements and software features are discussed specifically related to the proper design of student worksheets with emphasis on parameter variation. (JJK)

An educational technique to calculate the lifetime of a comet using software-generated random numbers is introduced to undergraduate physiques and astronomy students. Discussed are the generation and eligibility of the required random numbers, background literature related to the problem, and the solution to the problem using random numbers.…

Undergraduate students in the physical sciences can benefit from widespread availability of microcomputers and their link with numerical methods. Presented are examples of evaluating various transcendental mathematical functions, using numerical methods that emphasize the development of critical thinking skills and practical numerical techniques…