Describes a theoretical development to explain the shadow patterns of an object exposed to an extended light source while held at varying distances from a screen. The theoretical model is found to be accurate in comparison with experimental results. (MDH)

Discusses the use of mathematical modeling. Describes types, examples, and importance of mathematical models. (YP)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

This paper presents a model for compensating school districts for implementing effective prereferral programs, in order to promote the most appropriate service delivery for all students. The model develops formulae based upon changes in regular and special education enrollment, and includes state monies allocated to special education. Variables in…

Sprinting is described by a simple physical model. The model is used to predict the differences between the recorded times for races on a straight track and on a curve. It is shown that the choice of the running lane makes a nonnegligible difference. (Author/SK)

Discusses the rate of fall of a wooden beam or a chimney by examining the fall of a highway lamp pole when it is sheered off at its base upon impact by a vehicle. Provides the mathematical formulas to explain and an experiment to illustrate the phenomenon. (MDH)

Discussion of guaranteed college tuition programs first explores their origins and reasons for continuing high inflation rates for tuition. The relationship between tuition increase and enrollment is examined, and many current guaranteed tuition plans are reviewed. Basic considerations in developing a model for a multiyear plan are outlined and a…

Introduces a method of examining college enrollment patterns that is unlike the traditional cohort models currently used. The student flow matrix model can track student retention and attrition within the institution, and can also help the administrator identify key relationships between and among specific student-flow characteristics. (MSE)

An elementary mathematical model is used to analyze tuition and privatization policies for higher education institutions. One finding is that an appropriate tuition can increase the social income of alumni. Another salient finding is that some of the model's results are counterintuitive, suggesting its utility in decision making. Methodological…

A Rochester Institute of Technology (New York) program costing model designed to reflect costs more accurately allocates indirect costs according to salaries and wages, modified total direct costs, square footage of space used, credit hours, and student and faculty full-time equivalents. It allows administrators to make relative value judgments…

Presents an activity in which students construct model hot air balloons to introduce the concepts of convection current, the principles of Charles' gas law, and three-dimensional geometric shapes. Provides construction and launching instructions. (MDH)

Discusses the early recognition of chaos as seen in Poincar's work solving dynamical problems. Proposes five examples from which an inventory of the manifestation of chaos can be inferred. Discusses some instructional consequences of the development of ideas of chaos. (MDH)

As tuition charges increase and more students are eligible for financial aid, colleges must develop a concrete strategy to manage financial aid resources. Mechanisms to help financial aid officers effectively utilize aid resources in enrolling students are discussed. Mathematical formulas and calculations are included. (Author/JMD)

Discussion of European funding models for higher education looks first at different funding mechanisms used in several countries, with particular attention to formula funding and its increasing use. Institutional responses to differing financial and planning environments are noted, particularly when circumstances produce unwanted outcomes.…