Discusses areas in the undergraduate curriculum that are important due to recent technological changes (such as contributing effectively to group projects and the ability to take advantage of continuing education opportunities). Examines possible responses to these areas, focusing on the role of computers and on the mathematics curriculum. (JN)

Describes a learning activity when students construct a model of a buried valley by using computer assistance. Explanation of the problem includes mathematical models and illustrations. (MA)

Describes an interactive computer program which can be used by students to construct adaptive landscapes of two types as an illustration of the expected effects of selection. Simulates effects of selection on populations of this type and changes of gene frequency can be plotted on the same contour map. (Author/MA)

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

The first of five sections in this report places intelligent computer-assisted instruction (ICAI) in its historical context through discussions of traditional computer-assisted instruction (CAI) linear and branching programs; TICCIT and PLATO IV, two CAI demonstration projects funded by the National Science Foundation; generative programs, the…

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)

Uses chaos theory to investigate the nonlinear phenomenon of population growth fluctuation. Illustrates the use of computers and computer programs to make calculations in a nonlinear difference equation system. (MDH)

Presents two mathematical methods for fitting the logistic curve to population data supplied by the U.S. Census Bureau utilizing computer algebra software to carry out the computations and plot graphs. (JKK)

Describes an activity to solve an applied problem using a random-number-based simulation. Provides objectives, prerequisites, directions, extensions, answers, a computer program, and worksheets for the activity. Six references are listed. (YP)

This volume is an exposition of a mathematical modeling technique for use in the evaluation and solution of complex educational problems at all levels. It explores in detail the application of simple algebraic techniques to such issues as program reduction, fiscal rollbacks, and computer curriculum planning. Part I ("Introduction to the…

Discusses computer assisted instruction programs that deal with the specific area of the modeling of systems and the programing techniques that affect their educational value. An environment intended to increase the impact of interactive CAI is described and developed. (Author/CHC)

This article describes a calculus lesson that illustrates the nature of cycles in simple systems of nonlinear differential equations through the use of the Lotka-Volterra predator-prey model as incorporated in the computer software package, Phaser (version 1.0). (JJK)

Discusses the use of a computer program designed to solve the mathematical model associated with soil nutrient uptake by plant roots and to predict the nutrient uptake. Describes a user-friendly personal computer version of this program. (TW)

Describes the use of Mathcad, an interactive software package that responds to mathematical input, in an undergraduate economics class. Mathcad uses a rules-based programming language that "reads" the relationships among variables and constraints defined by the user, solves for unknowns, and graphs for one or more equations. (MJP)