Examined are some of the interrelations among three areas--first, linguistic work inspired by the ideas of Zellig Harris--second, logical investigations concerning the nature of mathematical reasoning--and third, mathematical education. The author states that his main concern is to bring some basic linguistic concepts and hypotheses to the study…

This booklet (referred to as PD 5686:1969) replaces the 1967 edition by including subsequent recommendations of the International Organization for Standardization (ISO) and the General Conference on Weights and Measures (CGPM). The International System of Units (SI) is described and rules are given for the formation of derived units and decimal…

In this paper a reliable method is found for approximating the value of the Bivariate Normal Correlation Coefficient, rho, given values of the joint probability and the normal deviates, h and k, or the related areas. This technique finds useful application in the computation of the tetrachoric correlation coefficient, r, when the underlying…

Nonadditive analogues of what is considered to be the essential mathematics of additive measurement are presented. The scope of this paper is defined when measurement theories are reformulated in such a way to assign transformations of numbers to transformations of natural objects. This paper is limited to theories of measurement in which…

The complete comprehension of this paper requires a firm grasp of both mathematical demography and FORTRAN programming. The paper aims at the establishment of a language with which complex demographic manipulations can be briefly expressed in a form intelligible both to demographic analysts and to computers. The Demographic Computer Library (DCL)…

The approaches taken to psychological research are discussed. Studies are classified as axiomatic, classical, stochastic or statistical, or structural. The mathematical models used in each type of study are discussed. (SD)

A method of approximating the point "c" at which a continuous function attains its mean value over an interval is described. The method is applied to tax tables. (SD)

Some applications of mathematics to bicycle gearing, speedometers, and bicycle braking are discussed. A method of calculating bicycle speed is developed. (MP)

The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)

Nine examples of this principle show what a powerful tool it is. Several map coloring theorems are proven and some exercises are listed. (MP)

The meaning of an "application" of mathematics is examined and sample real-world mathematical problems are given. (DT)

A simple geometric construction giving acceptable approximations to the locations of twelve points for placing frets on a guitar is described both geometrically and analytically. (DT)

This unit on checking accounts paid high dividends for the authors, two San Francisco teachers. Their fourth and fifth graders became a little wiser in math and money matters. (Editor/RK)

Competition for savings dollars has led to free gift bonus offers as incentive for new deposits. A concise new formula presented here permits calculation of the total yield using an inexpensive minicomputer. Yield is expressed in terms of interest rate, effective discount value of gift bonus, and period of deposit. (Author/MA)

A course in exterior ballistics is outlined and described as an option in applied mathematics. (JLH)