This article looks briefly at the ways in which mathematics education has changed during the past century. (RC)

Science museums and popular physics shows often exhibit a blower in whose air stream a ball is held hovering in equilibrium some distance above the jet's orifice. The weight of the ball, "mg," is balanced by the drag force of the turbulent air stream, often written as ?Cv[superscript 2]A, where "?" and "v" are the…

The mathematics involved in a practical application of matrices and vectors to the field of computer graphics where three-dimensional objects are moved and displayed is explained. (DT)

Useful programming tricks are suggested to allow the reduction of many equations and non-polynomial-like expressions and the subsequent application of the mathematical algorithms. (Author)

An introduction to time, timekeeping, and the uses of time information, especially in the scientific and technical areas, are offered in this book for laymen. Historical and philosophical aspects of time and timekeeping are included. The scientific thought on time has been simplified. Contents include: the nature of time, time and frequency, early…

The purpose of this text is to improve the mathematics performance of water treatment operators. The text is divided into two sections. The first section involves fundamental mathematics; the second section involves the process calculations at a plant. (Author/CO)

In the first part of this paper, several important trends of mathematics in the social sciences since the end of World War II are reviewed. Among these are (1) decision theory, (2) the development of macroeconomics as it relates to economic theory and the economics of growth, (3) the general theory of measurement, (4) structural linguistics, and…

This report describes a study to determine the effect of training on accuracy in estimating angles. The study was part of a research program directed toward improving navigation techniques for low-level flight in Army aircraft and was made to assess the feasibility of visually estimating angles on a map in order to determine angles of drift.…

Four indices for investigating inter-observer accuracy in observational instruments (contingency coefficient, Scott's pi, Bernstein's coefficient, and percent agreement) are reviewed concerning their assumptions, formulation, and tables indicating numerical functioning. Three of the four indices (excluding the contingency coefficient) are compared…

This bibliography reflects a literature survey to ascertain the relevance of mathematical techniques to the determination of teacher salaries. While most of the entries deal with studies on teacher salary determination, few papers cover analysis of the flow and effective utilization of teacher manpower. (Author)

Additive two-factor conjoint measurement is derived from axioms that do not include unrestricted solvability or a condition on interlocked standard sequences. (Author)

Research reported dealt with designing a mathematics course for undergraduate business students. Of the three groups formed by matching, the control group received traditional instruction in college algebra, utilizing one text, while the two experimental groups used materials selected for their relevance to business students. One experimental…

The behavior of focus samples central to the multiple-look model of Trabasso and Bower is examined by three methods. First, exact probabilities of success conditional upon a certain brief history of stimulation are determined. Second, possible states of the organism during the experiment are defined and a transition matrix for those states…

Statistical inference concerning the parameters of k multivariate normal populations is considered. Several models in which the parameters have certain hierarchical relationships are discussed, in particular as related to testing the hypothesis that k psychological tests are parallel forms of the same test. The report contains the following…

The research has contributed toward establishing a discipline of information science since it shows that fundamental principles dealing with communication exist and can be applied to pracitcal problems. Several courses and Ph.D. dissertations grew out of the research. (Author)