Presents activities to model dynamic systems using graphing calculators and calculator based laboratories. (Author/ASK)

Describes a lesson that provides an opportunity for students to obtain the equation for a line describing data they have collected, use the equation they have derived to set up an Egg Bungee Jump, and relate the numbers in the equation to the physical properties of the bungee jump. (WRM)

Using a recruitment test for Korean teachers, the use of the Rasch measurement model to control the effects of judge variable on the grading of essay-type items is examined. Ways of minimizing the variation of grading due to judge severity and reducing the number of judges without threatening objectivity of ability measurements are presented.…

Presents model for estimation of student unit costs and staffing requirements. Begins with specification of a "staff distribution matrix" setting out proportions of staff levels in a given staff category that are needed for a degree level. Student unit cost and staffing requirements are computed through manipulations on the matrix. The…

Describes two activities to analyze unit-cell structures from a geometric viewpoint and invites students to apply their mathematical understanding to scientific phenomena. Students form models of the simple cube, a building block of crystalline structures, and a methane molecule. (MKR)

Presents a model of the relation between the circulation at a large library, the collection at that library, and the size of the user population. Analysis of data at United States academic research libraries reveals a square-root law describing this relation. Explores theoretical foundations and speculates on bibliometric implications. (Author/AEF)

Models the motion of a gymnast around the high bar first as swinging around a rigid rod, then more accurately when the rod is considered to be elastic. Also considers how the gymnast should best move his hips. (Author/ASK)

Investigates determinants behind the spectacular higher education enrollment growth in Belgium since 1953, using a demand model that integrates consumption and investment aspects and empirically tests time-series data specifications between 1953 and 1992. Income and foregone earnings are driving enrollments. Income, opportunity costs, and the wage…

Uses a flexible modeling strategy to examine the roles of measured ability, family characteristics, and proxies for secondary schooling quality as determinants of the decision to enter college. Finds that the link functions and estimated impacts of ability and family characteristics on the probabilities of enrolling in college are not constant…

Promotes the use of logistic modeling in high school and early college mathematics, to compare this model to commonly used models, and to give an alternative to the TI-83 built-in logistic-regression key method when that method fails to converge or gives an inappropriate model. (ASK)

Compares sixth-grade American students to three samples of (Chinese, Japanese, and Taiwanese) sixth-grade Asian students to determine if the well-documented mathematical achievement of students from these Asian nations might be due in part to a greater understanding of mathematical representations. Indicates that all Asian samples scored…

Describes a study of the effectiveness of computer-simulation programs in enhancing biology students' familiarity with ecological modeling and concepts. Finds that computer simulations improved student comprehension of ecological processes expressed in mathematical form, but did not allow a full understanding of ecological concepts. Contains 28…

According to historical stories, the Saxons placed a bowl with a hole in its bottom in water and used the time it took the bowl to submerge to limit orations. Describes a science activity in which students find a relationship between the diameter of the hole and the time to submergence. (WRM)

Examines the definition, construction, and interpretation of social indicators. Shows how standard classes of formalisms used to construct models in contemporary sociology are derived from the general theory of models. Reviews recent model building and evaluation related to active life expectancy among the elderly, fertility rates, and indicators…

This article proposes an item response theory (IRT) approach to constructing and scoring multidimensional pairwise preference items. Individual statements are administered and calibrated using a unidimensional single-stimulus model. Tests are created by combining multidimensional items with a small number of unidimensional pairings needed to…