Reports the findings of a survey on the use of computer simulation in industry. Discusses the current uses of simulation, user reaction, various programing languages used in simulation, and important trends in computer modeling. (Author/JJD)

Identified difficulties encountered in spontaneous modeling, as well as strategies, approaches, and language used in this activity. Graduate mathematics students (N=223) were asked to create a mathematical model of a biological process. Their solutions and strategies are analyzed and results described. Significant conclusions for teaching applied…

Describes a two-quarter sequence of graduate courses in numerical methods and modeling for chemical engineers. Rationale, course content, methodology, topic development, and such course requirements as homework and design projects are considered. Emphasis is placed on the treatment of numerical methods implemented in commercial software. (JM)

The mathematical model proposed describes a computerized bibliographic information system which includes a method--document learning--of improving the set of index terms assigned to a document representative. Inputs to the information system (index terms and query), relevance feedback, and assumptions concerning the model are discussed.…

Discusses the use of district inhabitants' income, rather than property values, to measure school district wealth when allocating state aid. Examines data collection and other methodological problems, derives three formulas combining income and property measures for aid allocation, and tests each formula's effects using data from New York State.…

Develops an input-output model, with related multipliers, showing how changes in earmarked and discretionary educational funds (whether local, state, or federal) affect all of a state's districts and educational programs. Illustrates the model with Pennsylvania data and relates it to the usual educational finance approach, which uses demand…

Several mathematical problems designed to provide motivation for the application of mathematics to practical situations in sports and industry are presented. (MP)

Since all commonly used latent trait models assume a unidimensional test, the applicability of the procedure to obviously multidimensional tests is questionable. This paper presents the results of the application of latent trait, traditional, and factor analyses to a series of actual and hypothetical tests that vary in factoral complexity.…

Presents an experiment to illustrate mechanical resonance designed for use in lower division laboratories. The apparatus and procedure have been kept simple. The basic experiment yields measurements of amplitude versus driving frequency, but a fairly simple elaboration allows for measurements of phase lag as well. (Author/SK)

This article examines the potential contribution of latent trait models to the study of intelligence. Nontechnical introductions to both unidimensional and multidimensional latent trait models are given. Multidimensional latent trait models can be used to test alternative multiple component theories of test item processing. (Author/CTM)

Three methods of estimating a model of school effects are compared: ordinary least squares; an approach based on the analysis of covariance; and, a residualized input-output approach. Results are presented using a matrix algebra formulation, and advantages of the first two methods are considered. (Author/GK)

Previous work supports the hypothesis that cardioidal strain offers a plausible mathematical model for the perceived changes in human craniofacial morphology due to growth. In two experiments, cardioidal strain caused changes in the perceived age of nonhuman profiles similar to those produced on human faces in earlier work. (Author/MH)

A multirate mathematical model is presented to support the hypothesis that different types of information are lost from a memory trace at different rates. The model is validated by two experiments assessing the retention of pictures and of sentences at three different delays by cued recall. (Author/CP)

A general theory of how children learn conservation concepts is presented. The acquisition process is described at an abstract level in terms of a rule-sampling system, implying a three-state Markov model with identifiable parameters. Three experiments testing the model's quantitative predictions about conservation learning experiments are…

Three replications of a structural equation model for the prediction of behavior are tested, using a questionnaire assessing undergraduate students' attitudes, subjective norms, intentions, and behavior. The proposed models supersede the Fishbein-Ajzen theory in their ability to reflect the dynamics of attitude-behavior relations. (Author/RD)