This is a final report, for administrative purposes, of studies to be published in the general category of mathematical theory of social groups, with emphasis on the large groups typical of educational communities. Since the study of the large and complicated structures of high school and college communities is difficult by purely empirical…

This pamphlet presents a general description of the systems approach as applied to education, and gives verbal and mathematical model examples of its application in educational administration. The basic aims of the systems approach are to (1) identify major objectives of a program plan, (2) define programs that can effect the planned goals, (3)…

An analytical framework is described through which voluntary attrition can be predicted. The approach incorporates Marshallian Utility Theory and a Maximum Likelihood Estimation procedure to evaluate a specific individual's propensity to attrit. The approach was tested twice at the United States Air Force Academy where it was able to correctly…

Summarizing work which is part of an Army research program on Methodological Issues in the Construction of Criterion Referenced Tests, the focus of this paper is on a Bayesian model, which gives the probability of correctly classifying an examiner as a master or as a nonmaster while taking into consideration the test length and the mastery cut-off…

The Simulation Option Model (SOM) was developed as part of the Centre for Educational Research and Innovation work on educational planning. Its two main purposes are to be an analytical tool for the project on Educational Growth and Educational Opportunity and to be a direct contribution to member countries' own work in these areas. The model…

Criticizes the current method of formalization in Italian schools and the use of tools of the mathematical method. Proposes a general three-stage formalization method which can used for physical quantities, the particular significance of certain quantities, and the description and interpretation of phenomena. (TW)

Reviews trends in computer assisted instruction (CAI) in Japan, focusing on authoring languages and mathematical model-based courseware development. The scale of personal computer use and types of courseware used in elementary and junior high schools is described, and an example of an intelligent CAI system is given. (Author/LRW)

This paper evaluates empirically the impact of elementary school related factors on the academic achievement of Montreal francophone children. A three-equation model explains simultaneously the level of achievement in mathematics and French and the self-concept of the students in the sample. (Author/LMO)

Explores the problem of combining algebraic terms from the students' point of view and suggests changes in certain traditional teaching practices. (PK)

Analyzes the allocation of student time from the perspective of economic theory with an economic model that predicts a small increase in educational achievement relative to substantial increases in instructional time. Predictions are supported by empirical evidence. Policy consequences are examined. (MLF)

In an experiment manipulating artificial data in a factorial design, model misspecification and varying levels of error in measurement and in model structure are shown to have significant effects on LISREL parameter estimates in a modified peer influence model. (Author/LMO)

Discusses the use of ratio diagrams, which plot the calculations of equilibrium concentrations of the species of the carbonate system. Provides examples to describe how these diagrams can be used to illustrate the behavior systems of interest in volumetric analysis, where absorption or loss of carbon dioxide takes place. (TW)

An activity involving the charting of the spread of a disease is described. Arrows are used to develop models of the progression of the disease. (MNS)

This paper applies a theory of growth in academic achievement to the study of the effects of ability grouping on reading achievement. The theory sees students' ability and effort determining how they utilize opportunities for learning provided by instruction. (Author/JAZ)

The potential value of developing item banks that would both guarantee the quality of teacher-made examinations and allow for national comparison of student achievement is described. Use of Rasch model methods, rather than classical item analysis techniques, to calibrate the items for these banks is illustrated. (BS)