Examines structural features of grade point averages (GPAs) and offers examples showing that GPAs cannot consistently determine class rank since class rank is sometimes permuted with arbitrary change of scale. Notes relativistic efforts to resolve inconsistencies are insufficient. Discusses the function of GPAs as predictors of academic…

Calculates the angular velocity of a spinning top without the simplifying assumption found in most textbooks that the total angular momentum is solely along the symmetry axis. (WRM)

Demonstrates how perspectives from covariance structural modeling and generalizability theory can be combined for a comprehensive assessment of latent constructs. This approach to examining variance components is illustrated by one- and two- facet designs, and can be extended to more complex designs. (MAK)

Recent public higher education spending cuts have often been matched by tuition increases, resulting in possible declines in college graduates and in personal income tax receipts. Applying a net present-value model to quantify New York State data suggests that potential revenue losses quickly dwarf short-term budgetary savings. (Contains 21…

The sensitivity analysis of structural equation models when minor perturbation is introduced is investigated. An influence measure based on the general case weight perturbation is derived for the generalized least squares estimation, and an influence measure is developed for the special case deletion perturbation scheme. (Author/SLD)

Presents the historical development of required undergraduate core mathematics courses. Suggests that a new core course--discrete dynamical modeling--is needed to prepare students for success in the information age. Contains 17 references. (Author/ASK)

Describes in detail several activities designed for students studying dynamics. Incorporates life-related mathematical modeling and practical work. Uses computer technology as a tool. (Contains 15 references.) (ASK)

Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…

Using a large German Socioeconomic Panel data set for the period 1984-98, investigates the wage effects of two different measures of educational mismatch, overeducation and undereducation, when controlling for unobserved heterogeneity. Finds that wages differences between overeducated and undereducated workers totally disappear in most cases.…

Examines several alternative ways for school districts to reduce the construction costs of new facilities. Finds that spacing out the start of facility construction projects and building during economic downturns in the construction industry offer the best options for construction cost savings. (PKP)

Quantitative algebraic and qualitative topological models can be used in the quest for simple explanations in the field of teaching and learning. The examples described cover such diverse topics as teacher anxiety and classroom control, process-product studies, aptitude-treatment interactions, the pace of instruction, the size of classes, and…

Analyzes the individual and collective activities of fourth grade students while trying to explain a school fellow's mistake in the use of a geometrical schema for the sunshadows phenomenon. Aims at detecting productive links between context-related argumentation and mathematical modeling as well as discussing their relevance for mathematics…

Reports on an instructional method designed to address the cognitive gaps in children's mathematical development where operational conceptions give rise to structural conceptions. Describes two experiments in teaching integers and conceptualizes modeling as the transformation of outside-school knowledge into school mathematics. (Contains 28…

Mathematically explains why the range of a projectile is most insensitive to aiming errors when the initial angle is close to 45 degrees, whereas other observables such as maximum height or flight time are most insensitive for near-vertical launching conditions. (WRM)

Uses a growth model involving an aggregate production function to measure social benefits from human capital improvements due to investments in Hong Kong higher education. Returns calculated using the production-function approach are significantly higher than those derived from the wage-increment method. Returns declined during the past 10 years.…