Describes in detail a model for determining the optimal allocation of indivisible academic departments for a multicampus university and then uses the model to calculate departmental allocations for the State University of New York at Buffalo, a 23,000 student university with three campuses and approximately 100 academic departments. (JG)

A model for integer multiplication is discussed. (DT)

Queuing theory is explored by considering a simple example and by simulation with a computer. Sample BASIC computer programs are included. (DT)

The validity of inferences based on achievement test scores is dependent on the amount of effort that examinees put forth while taking the test. With low-stakes tests, for which this problem is particularly prevalent, there is a consequent need for psychometric models that can take into account different levels of examinee effort. This article…

Mathematics is playing an increasingly important role in business and industry. In this paper we present two case studies to illustrate the power and impact of mathematics in two important practical applications in New Zealand. The first case study describes the development of a mathematical optimization model to maximize the value of aluminum…

In this paper are described some features of the intensive use of math software, primarily Derive, in the context of modeling in an introductory university course in differential equations. Different aspects are detailed: changes in the curriculum that includes not only course contents, but also the sequence of introduction to various topics and…

The National Science Education Standards (NSES) emphasize the use of models in science instruction by making it one of the five unifying concepts of science, applicable to all grade levels. The NSES recommend that models be a focus of instruction--helping students understand the use of evidence in science, make and test predictions, use logic, and…

This study used a computerized simulation and problem-solving tool along with artificial neural networks (ANN) as pattern recognizers to identify the common types of strategies high school and college undergraduate chemistry students would use to solve qualitative chemistry problems. Participants were 134 high school chemistry students who used…

This paper is concerned with the role of spreadsheets as a tool for the development of mathematical models in science, one aspect of a collaborative project which worked with two groups of pre-university students from Mexico and the United Kingdom. The purpose of the modeling activities designed was to engage students in creating an…

Hand-held data collection technology allows for access to real-world data collection--at any other time and almost any place. Is the use of data and its collection desirable to the mathematical learning process? The answer is a resounding yes! Not only can significant mathematical ideas be taught in the process; colleagues are also helped in the…

There are many educational situations where the student learns by using a model and we are beginning to explore the benefits of using an interactive computer to give a greater understanding of the relationship between the model and the real situation, and also of the real situation. Article gives a broad introduction to applications in the field…

Proposes that specific programs of study, rather than school size, be used as the unit of analysis in assessing educational costs. (WM)

The proposed model can be likened to a moving least squares'' model. It uses a data search procedure in which the intent is to evaluate a number of variables substantively, rather than in terms of formal statistical procedures. (Author)

Procedures to be applicable in situations in which large numbers of individuals are tested or in situations where multiple measures are taken. (Author/CB)