To investigate student difficulties in solving word problems in algebra, we carried out a teaching experiment involving 51 Indonesian students (12/13 year-old) who used a digital mathematics environment. The findings were backed up by an interview study, in which eighteen students (13/14 year-old) were involved. The perspective of mathematization,…

Discusses steps involved in model building and simulation: understanding a problem, building a model, and simulation. Includes a mathematical model (focusing on a problem dealing with influenza) written in the DYNAMO computer language, developed specifically for writing simulation models. (Author/JN)

The author argues that teaching students to program a computer enhances their logical reasoning, problem solving skills, understanding of models, and ability to examine one's work critically. (SD)

This paper discusses goal programming, a computer-based operations research technique that is basically a modification and extension of linear programming. The authors first discuss the similarities and differences between goal programming and linear programming, then describe the limitations of goal programming and its possible applications for…

An approach to teaching the exponential function using discrete methods, rather than continuous analysis, is presented. A model for simple geometric growth is explored, with a computer program given. (MNS)

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…

The survey reported on in this document addressed itself to discovering what kinds of quantitative models have been developed and implemented for educational decisionmaking during 1965-72, and what planning questions they are intended to answer; where these models have been implemented and to what extent they are being used; and the cost of such…

This paper presents the concepts of a computer-directed system to improve human performance in structured learning situations. Attention is focused on finite-state systems in order to provide a systematic method for constructing training systems and to assist in analysis of problem solving and curriculum planning. The finite-state approach allows…

This text provides educational administrators with a working knowledge of the problem-solving techniques of PERT (planning, evaluation, and review technique), Linear Programming, Queueing Theory, and Simulation. The text includes an introduction to decision-making and operations research, four chapters consisting of indepth explanations of each…

The 21 essays in this two-part book provide conceptual and operational understanding of the nature of models as representations of reality and as tools for description, analysis, interpretation, and forecasting. Topic areas addressed in part 1 (concept) include: the nature of models; the earth as a system; the determination of form; some…

This collection of documents promotes simulation as an attractive topic in mathematics instruction that provides game-like activities likely to interest pupils, by illustrating the important ideas of probability and showing how mathematical models can be used in practical problems clearly relevant to everyday life. While computer programs written…

An interdisciplinary course in problem solving, entitled "patterns of problem solving," and its unique peer program offered at the University of California, Los Angeles, are described. The emphasis in the subject matter and approach is to expose the student to the wide range of alternative problem solving techniques and to enable the…

As presented in this report the basic purpose of CAIR (Computer-Aided International Relations Teaching) is to introduce university students and policy analysts in government agencies to substantive data analysis in the field of international studies. The student will be exposed to quantitative political science, learn the role and limitations of…