Depending on their programming knowledge, students can become involved with the use of the computer in the construction and analysis of mathematical models, either through observing and/or interacting with a model developed by a programmer, or by becoming involved in the process of constructions and testing of models. The Bush-Mosteller Simple…

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 the use of an instructional module used to introduce college students to a combined mathematical modeling and normative analysis approach to the investigation of public policy issues. The module, which was designed to bridge several courses and combined independent work with discussions, was judged to be successful in promoting…

Defines and discusses the analog computer and its use in a physiology laboratory. Includes two examples: (1) The Respiratory Control Function and (2) CO-Two Control in the Respiratory System. Presents diagrams and mathematical models. (MA)

Investigates problems of modeling and application based on a paradigmatic case study of a classroom situation in which students deal with functions within a computer-aided learning environment. Analysis of the case study shows that computer-supported operating with functions as objects does not automatically lead to a better understanding of the…

Describes two types of computer-based experiments: simulation (which assumes no student knowledge of the workings of the computer program) is recommended for experiments aimed at inductive reasoning; and modeling (which assumes student understanding of the computer program) is recommended for deductive processes. (MLH)

Describes a combination of lectures, experiments, and analysis with the aid of remote computer terminals that helps the engineering student grasp the fundamentals and implications of a mathematical model applied to a particular job situation. (MLH)

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)

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)

The author outlines the development, structure, and teaching and assessment problems of one introductory discipline-independent mathematical modelling course. (MN)

Discusses the use of a computer-illustrated text (CIT) with integrated software to teach electric circuit theory to college students. Examples of software use are given, including simple animation, graphical displays, and problem-solving programs. Issues affecting electric circuit theory instruction are also addressed, including mathematical…

Describes a four-phase method of helping students who are mathematically unsophisticated and have difficulty relating their common sense, English-language understanding of a system to an abstract, mathematical description. The approach uses interactive simulation models. (Author/IRT)

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)

Computer-assisted instruction (CAI) has become sufficiently widespread to require attention to the relationships between its costs, administration and benefits. Despite difficulties in instituting them, quantifiable cost-effectiveness analyses offer several advantages. They allow educators to specify with precision anticipated instructional loads,…