Publicly-provided grants have a significant, positive effect on high school seniors' decisions to enroll in college, particularly among lower income groups. Other types of student financial aid have no measurable effect, according to a study using a binomial logic model based on a multiperiod household utility maximization model. (PGD)

Discusses the development of problem-oriented mathematics materials for a wide variety of students. Materials include teaching guides, student materials, case studies in mathematical modeling, and project activities. Examples of these materials (including a sports-related activity for students who have not had success in mathematics) are provided.…

Presents a system model for transmission of input data that is coming from terminals of users in a limited user resource-sharing environment. Performance of a mini/microcomputer receiving mixture of picture-phone terminal data is analyzed with constant service times, synchronous transmission, and single-server interruptions through first-order…

Describes recent research attempts to draw inferences about the relative standing of the states on the basis of mean SAT scores. This paper identifies five serious errors that call into question the validity of such inferences. Some plausible ways to avoid the errors are described. (Author/LMO)

Hardware for computer-assisted learning is discussed in three papers. Two papers report on projects using computer graphics, one for teaching structural analysis to university students and the other to teach graph concepts at the secondary level. Guidelines for selecting microcomputers focus on analyzing applications and matching them with…

The theoretical rationales and procedures of five adaptive computer-based instruction models were reviewed: the mathematical model, the regression model, the Bayesian probabilistic model, the testing and branching model, and artificially intelligent instructional systems. Each model is assessed for contrast of methods and forms, identifiable…

Using 559 fifth graders, measures were collected to assess multiple dimensions of academic self-attribution, self-concept, and inferred self-concept, and academic achievement. The specificity and predictability of the observed patterns of relations support the construct validity of interpretations based on both the self-attribution and…

Empirical Bayes methods are shown to provide a practical alternative to standard least squares methods in fitting high dimensional models to sparse data. An example concerning prediction bias in educational testing is presented as an illustration. (Author)

Many educational questions of research interest focus on individual differences in attitudes and behaviors related to academic achievement, changes in such attitudes and behaviors over time, and the types of academic environments that facilitate or prevent development of achievement attitudes and behaviors at school. This paper, the first in a…

The report describes a mathematical modelling activity of a natural phenomenon (transmission of hereditary characters in a codominance case) using the concept of model as a theoretical instrument. The chosen tool enables us to show how the construction of a link between reality and a model is related to the evolution of the graphical…

In the Spring, 1996, issue of "CRESST Line," E. Baker and R. Linn commented that, in efforts to measure the progress of schools, "the fluctuations due to differences in the students themselves could conceal differences in instructional effects." This is particularly true in the context of the evaluation of adequate yearly…

The psychometric research done by G. Rasch between 1951 and 1959, which is explained and illustrated in this book, takes psychometrics from being purely descriptive to being a science of objective measurement. Individual centered statistics require models in which each individual is characterized separately and from which, given adequate data,…

This videotape contains a series of presentations by Benjamin D. Wright of the University of Chicago about the Rasch model and measurement in testing. The first presentation is excerpts from a workshop held in 1974 for educators from the Portland (Oregon) Public Schools and the Oregon Department of Education. Dr. Wright's lectures were part of a…

This paper explores a framework for research on the development of the angle concept based on theories of abstraction. The framework suggests that children initially acquire a body of disconnected angle knowledge situated in everyday experiences, group the situations to form angle contexts, and then form an abstract angle concept. The framework is…

Financial, demographic, and socioeconomic data on Wisconsin school districts are employed to investigate the relationship among labeling children as handicapped, educational program determinations, and cost assessments. Analysis using two mathematical models indicates, among other things, that availability of fiscal resources leads to more…