Generalizations of L. A. Goodman's RC(M) association model (1991 and earlier) are presented for three-way tables. These three-mode association models use L. R. Tucker's three-mode components model (1964, 1966) to represent the three-factor interaction or the combined effects of two- and three-factor interactions. (SLD)

A Monte Carlo study evaluated the effectiveness of different factor analysis extraction and rotation methods for identifying the known population multiple-indicator measurement model. Results demonstrate that exploratory factor analysis can contribute to a useful heuristic strategy for model specification prior to cross-validation with…

Proves a theorem about the invariance of the Lotka function under a transformation that maps numbers of authors as variables to number of collaborators as variables. A general approach to incorporate the average number of collaborators in a production function is discussed, leading to a general framework to model multirelational data. (Author/LRW)

A general approach for fitting a model to a data matrix by weighted least squares (WLS) is studied. The approach consists of iteratively performing steps of existing algorithms for ordinary least squares fitting of the same model and is based on maximizing a function that majorizes WLS loss function. (Author/SLD)

Notes that using spreadsheets to teach microeconomics principles enables learning by doing in the exploration of basic concepts. Introduction of increasingly complex topics leads to exploration of theory and managerial decision making. (SK)

Proposes a system to help at-risk students develop problem solving skills. Provides some teaching methods and evaluation ideas. (KHR)

Reports on middle school students' use of dynamic physical models to interpret functions. Includes student creations of symbolic variables and function equations. (KHR)

Presents activities designed to engage students in an experiential and theoretical application of problems in precalculus and to study geometry, coordinate systems, rates, linear applications, and the concept of function. Illustrates problem situations and includes student worksheets and a teacher's guide. (KHR)

Describes a lesson plan in which students design scale models of kitchens using proportional reasoning and measuring skills. (YDS)

Describes the development of mathematical thinking as children construct a mini mall. Students learn the importance of cooperation with their peers as they explore mathematical concepts such as one-to-one correspondence, classification, intersection of sets, coin identification and values, addition, subtraction, and problem solving. (Author/NB)

Proposes a modified version of commonly employed item response models in a fully Bayesian framework and obtains inferences under the model using Markov chain Monte Carlo techniques. Demonstrates use of the model in a series of simulations and with operational data from the North Carolina Test of Computer Skills and the Test of Spoken English…

Constructs a model using an idiosyncratic expected-earnings variable to explain the probability that a student will choose a specific major among four choices of concentrations. Finds that the expected-earnings variable is essential in the choice of a college major; however, there are significant differences in the impact of expected earnings by…

Uses national longitudinal data set of 8th-graders to examine 2 potential explanations (returns to schooling and noncognitive skills) for the fact that nearly 60 percent of today's college students are women. Finds that higher noncognitive skills and college premiums among women account for nearly 90 percent of the gender gap in higher education.…

Focuses on the activity system of school-teaching mathematics and the impact of mathematical modeling. Describes the Applications of and Modeling in School Mathematics Project (AMSMAP) which investigates teachers' mathematical modeling and its relationship to a hypothesized school mathematical modeling activity system. Discusses the notion of an…

The equating of results from the PC-BILOG computer program to an underlying metric was studied through simulation when a two-parameter item response theory model was used. Results are discussed in terms of the identification problem and implications for test equating. (SLD)