The ratio technique, requiring only simple arithmetic calculations, uses historical information as a basis for projecting school enrollment. In the author's survey of state education agencies, 84 percent of the respondents indicated that they used a ratio technique. This study reviews four different approaches to use of the ratio method in…

This paper examines the effects of learning time on student achievement. It begins by reviewing what is known about how time is allocated and utilized in schools and the effects of differing amounts of exposure to schooling on achievement. Several theoretical perspectives concerning how time spent affects achievement are briefly discussed. The…

From the systems point of view, the objectives of higher education cannot be defined apart from the economic and social context in which the university operates. The report presents the results of a 4-year research project during which a mathematical model was developed to describe the way in which the university, as part of a socioeconomic…

This paper is concerned with memory functions in sequentially structured behavior. Twenty-five 4- and 5-year-old preschool children participated in a prediction experiment in which a stack of cards (each card alternately having a patch of red or green tape on it) was displayed to the child. The child was presented with a card and asked to predict…

A randomization model appropriate for evaluating priority effects in free recall (i.e., whether "new" items are recalled prior to "old" items) is discussed and related to well-known nonparametric significance tests. Since the bases for the measures that have been suggested in the psychological literature may be interpreted…

A method of interpolation has been derived that should be superior to linear interpolation in computing the percentile ranks of test scores for unimodal score distributions. The superiority of the logistic interpolation over the linear interpolation is most noticeable for distributions consisting of only a small number of score intervals (say…

A measure of the usefulness of a pass/fail testing decision procedure is the ratio of the utility of the given procedure to the utility of a procedure based on knowledge of scores on a criterion measure. It is computed from scores for a representative sample of persons tested. Utility functions may be specified by the test user or set by…

A Eulerian framework is proposed as an alternative to the Lagrangian framework usually used in undergraduate dynamics courses. An attempt to introduce Eulerian kinematics into a dynamics course is discussed. (LMH)

Simultaneous test procedures (STPS for short) in the context of the unrestricted full rank general linear multivariate model for population cell means are introduced and utilized to analyze interactions in factorial designs. By appropriate choice of an implying hypothesis, it is shown how to test overall main effects, interactions, simple main,…

Controversies over the extent and duration of projected enrollment declines have made the techniques involved in such predictions a matter of interest in the field of educational planning. This document is a survey of current methodologies and problems in forecasting at the state and institutional level. Part 1 discusses: a review of methodology…

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…