A scaling technique known as the Method of Reciprocal Averages has been in use since the early 1930's. This technique yields a set of item response weights for a psychological inventory which maximizes the internal consistency of the inventory for a group of subjects. Although the technique has been used for many years, its mathematical…

In Dyer's Student Change Model, performance indicators (PIs) are utilized as a measure of the effectiveness of educational programs. These PIs are examined and analyzed in some detail in this paper. In particular, the reliability of the residuals, the sensitivity of the measure to sample size, the random half reliability, and the stability of the…

This paper begins by discussing the observation that mathematics instruction at all levels is in a crisis of relevance. A sketch of the function and organization of the existing mathematics instruction is presented; the suggestion that instruction be built on a problem-orientation basis is considered; and the role and education of the teacher is…

This research has as its basic premise the belief that physical and mental skills are highly similar, enough so in fact that computation paradigms such as the ones used in Artificial Intelligence research about predominantly mental skills can be usefully extended to include physical skills. This thesis is pursued experimentally by the…

The unbiased estimate of a "treatment effect" reached by analysis of covariance in a nonrandomized experiment would often require that a different covariate be used in each treatment. A sufficient but unlikely condition for an unbiased estimate is that the covariate for each treatment is (1) the complete covariate that predicts the outcome as…

Noting that mathematical modeling is a relatively new phenomenon in higher education and that much can be learned from the misdirections and mistakes that characterize modeling in general, the author describes major criticisms of modeling and suggests improvements, particularly in communication between modelers and potential model users. (JT)

By using complex multiple regression models to generate regression surfaces, the relationships between academic achievement, creativity, and intelligence are examined. Findings indicate that for certain academic subjects creativity is related to achievement up to a threshold level of intelligence, but after the threshold has been reached…

This article presents a short method for computation of the doubling period of a population at a fixed rate of annual increase. (Author)

Analyzing the effects of tilting a probability board can be an effective method of introducing a discussion of models in a probability class. (SD)

The author discusses the impact of mathematical developments around the turn of the century, and historical concerns and development of mathematics education. This article is a continuation of SE 515 504. (SD)

After considering the mathematical system common to various types of measure, the author argues that instruction needs to reflect the common aspects of measure systems as well as the distinctive attributes of different systems. (SD)

Since the statistical theories of turbulence that have developed over the last twenty or thirty years are too abstract and unreliable to be of much use to chemical engineers, this paper introduces the techniques of single point models and suggests some areas of needed research. (BB)

This study sought to develop and test a method for predicting inpatient utilization in the New York State Department of Mental Hygiene. A Markov chain mathematical model was developed and tested ex post facto for its accuracy in prediction of inpatient workload by age groups for two successive fiscal years. (Author)

The purpose of this paper is to present problems (and solutions) from the areas of marketing, population planning, system reliability, and mathematics to show how a computer simulation can be used as a problem-solving strategy in probability. Examples using BASIC and two methods of generating random numbers are given. (Author/MP)

Presents some problems for quantum chemistry courses based upon model pseudopotentials. Also includes some useful formulas and tables of parameters associated with these problems. (HM)