Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…

Explaining that grade inflation may result from the professor's competition for favorable student evaluations, asserts that the Theory of Games could be useful for analyzing interactions among professors and their impact on the number of students attracted to their courses. Presents a model based on these assumptions and analyzes policy-relevant…

A study of selected districts in 18 states concluded that economies of scale consistently and significantly influence how educational resources are allocated among schools. District size figures significantly in inequalities present within districts. Equalizing both school and district size is essential for achieving equitable distribution…

Random regression models were used to investigate the role of initial severity in the outcome of four treatments for major depression: cognitive behavioral therapy, interpersonal psychotherapy, imipramine plus clinical management, and placebo plus clinical management. Initial severity of depression and impairment of functioning significantly…

Demand for Pell Grant financial aid has become difficult to predict when using the current microsimulation model. This paper proposes an alternative model that uses aggregate data (based on individuals' microlevel decisions and macrodata on family incomes, college costs, and opportunity wages) and avoids some limitations of simple linear models.…

Presents an activity on linear functions that is designed to help students become familiar with the graphs, equations, and tables of these functions while focusing on issues related to cost, revenue, and profit. (ASK)

Presents a methodology for teaching mathematical modeling skills to A-level students. Gives an example illustrating how mathematics teachers and design teachers can take joint perspective in devising learning opportunities that develop mathematical and design skills concurrently. (Contains 14 references.) (Author/ASK)

Describes how to employ multivariate regression models and National Research Council data (used to rank doctoral programs) to analyze how measures of program size, faculty seniority, and faculty research and doctoral-degree productivity influence subjective ratings of doctoral programs in 35 academic fields. Illustrates how to compute the effects…

Presents an experiment in which students use laboratory data to calculate the interphase mass transfer coefficient for a fluid passed over a sphere and obtain correlations for solid-gas mass transfer. Students develop a realistic mathematical model to describe the sublimation process. (DDR)

Proposes a real-time collaborative framework for geometric modeling. Assessment results show that the collaborative environment was useful in design education. (MM)

Compared the fit of several Item Response Theory (IRT) models to two personality assessment instruments using data from 13,059 individuals responding to one instrument and 1,770 individuals responding to the other. Two- and three-parameter logistic models fit some scales reasonably well, but not others, and the graded response model generally did…

While it is most often the case that an understanding of physics can simplify mathematical calculations, occasionally mathematical precision leads directly to a better physical understanding of a situation. Presents an example of a mechanics problem in which careful mathematical derivation can lead directly to a deeper physical understanding of…

Presents a physics lab activity in which students determine if an electrode configuration simulates a section of concentric cylinders or concentric spheres. (WRM)

Explains why one orientation of an asymmetric spring-and-mass system leads to a higher frequency of 0000000000 than another orientation. (WRM)

Presents the physical assumptions and mathematical expressions necessary to derive a fourth-order differential equation that describes the vibration of a particular car antenna. Contends that while students may not be able to derive or use the equation, they should be able to appreciate a guided derivation as an example of how physics is done.…