Developing a student testing mathematical model for instructional management purposes necessitates clear structuring of the curriculum materials involved, whether designated in the domain of content or the dimension of concepts or skills. Such structuring of a course written in performance objectives is presented and noted to be helpful in making…

Projections of the size and composition of future student populations are crucial to effective planning in an institution of higher education. Using the mathematical model presented here, future enrollments and degree production can be predicted from admission, transfer, and attrition rates, as well as from administrative policies and current…

This booklet explains the historical background and construction techniques for various sets of uniform polyhedra. The author indicates that the practical significance of the constructions arises in illustrations for the ideas of symmetry, reflection, rotation, translation, group theory and topology. Details for constructing hollow paper models…

The author describes a way of teaching a one-year geometry course which includes plane geometry, solid geometry, coordinate methods of proof, and vector methods of proof. His method is based upon encouraging students to use the properties of geometric figures that they already accept without formal proof. He employs paper folding extensively to…

As an economical method of evaluating alternative building programs prior to deciding upon one, a computer-based mathematical model is described which could be used to simulate an institution's use of physical facilities. Information is presented regarding program input, measure of effectiveness, and program procedure. Sample forms and sample…

A quasi-static learning model was proposed to describe the interaction of factors believed to be involved in the development of reading comprehension abilities. Reading comprehension was viewed as an extension of general language learning and subject to many of the same factors and complexities as is the development of language. There are five…

A series of mathematical models is given for translating a college or university's educational philosophy and its operating levels into physical facility requirements. The models exhibit the required number of units of instructional facilities, by function and capacity; the number of professional faculty and graduate teaching assistants; the units…

Reported is a study to determine the relative effectiveness of a meaningful concrete and a meaningful symbolic model in learning a selected mathematics principle. Subjects were from a second grade population and they were assigned to three treatments. Students assigned to Treatment 1 received instruction in the principle with a meaningful symbolic…

A computer program to perform a Monte Carlo simulation of counting experiments was written. The program was based on a mathematical derivation which started with counts in a time interval. The time interval was subdivided to form a binomial distribution with no two counts in the same subinterval. Then the number of subintervals was extended to…

Press coverage of a suburban midwest school district is analyzed as a set of time series of observations including the amount and quality of coverage. Possible shifts in these series because of the emergence of controversial issues are analyzed statistically using the Integrated Moving Average Time Series Model. Evidence of significant shifts in…

The implications of the report are that a knowledge of quantitative areas is becoming increasingly more important in the logistics career fields. Therefore the study has emphasized predicting academic performance in quantitative courses in graduate logistics. It was expected that a useful model of this type, in conjunction with the other models,…

The usefulness of the sets of cases developed in a previous technical report are examined as potential tests of leadership. Each set of cases generates, from a single subject, a number of scores which can be logically derived and which have substantial face validity. The intercorrelations among the scores, their split half reliability, and the…

Current work in mathematical modeling for manpower planning and personnel administration is reviewed with special reference to selected cases in the U.S. Navy. This included: (1) assignment models and their dynamic extensions, (2) Stochastic models with special reference to Markoff Processes, including the Office of Civilian Manpower and…

Three simplifying conditions are given for obtaining least squares (LS) estimates for a nonlinear submodel of a linear model. If these are satisfied, and if the subset of nonlinear parameters may be LS fit to the corresponding LS estimates of the linear model, then one attains the desired LS estimates for the entire submodel. Two illustrative…

To study the applicability of simple structure logic for factorial data from scientific disciplines outside psychology, four correlation matrices from each of six scientific areas were factor analyzed by five factoring methods. Resulting factor matrices were compared on two objective criteria of simple structure before and after rotation.…