Sex differences in speed of solving mental rotation problems were replicated but college men and women were alike in frequency of use of algorithms to solve problems. The most frequent algorithm involved encoding stimuli in working memory, mental rotation of one to orientation of the other, comparison, and response. (Author/RD)

Twelve structural models of similarity were fitted to data from conventional and computer adaptive test (CAT) batteries measuring the same aptitude in a double cross-validation design. Three of the 12 models, including a multiplicative structure model, performed well, providing support for using CATs as replacements for conventional tests. (NSF)

The study tests the appropriateness of multiplicative versus additive expectancy-valency models for grouping motivational force decisions of 82 undergraduate students. Arguments are offered favoring a non-nested regression models analysis over a traditional hierarchical analysis of nested regression models. Discriminant analysis indicated one of…

A latent class model for handling the items in Birenbaum and Tatsuoka's study is described. A method to derive the optimal scoring rule when multiple choice test items are used is illustrated. Remedial training begins after a determination is made as to which of several erroneous algorithms is being used. (Author/DWH)

The present study compares the robustness of two different one way fixed-effects analysis of covariance (ANCOVA) models to investigate whether the model which uses a test statistic incorporating estimates of separate unequal regression slopes is more robust than the conventional model which assumes the slopes are equal. (Author/BW)

Four masters suitable for copying are given for models of solids: half-cube, square based oblique pyramid, irregular hexahedron, and square based right pyramid. Suggestions for the teacher are included. (MNS)

Three types of test were compared: a completion test, a matching test, and a multiple-choice test. The completion test was more reliable than the matching test, and the matching test was more reliable than the multiple-choice test. (Author/BW)

A systematic method for compromise between absolute and relative examination standards is proposed. The passing score is assumed to be related to expected pass rate through a simple linear function. Results define a function relating the percentage of successful candidates given a specified passing score to the passing score. (Author/DWH)

A three-dimensional model made from pegboard, rods, and spheres can be used to illustrate principles of multi-variate analysis. (SD)

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…