This manual presents school enumeration techniques to be used for 1-year, 5-year, medium-range, and long-range planning periods. The resulting projections provide estimates of school enrollment by grade for the entire school system. (Author)

Three procedures, alpha, image, and uniqueness rescaling, were applied to a joint occurrence probability matrix. That matrix was the basis of a well-known latent class structure. The values of the recurring subscript elements were varied as follows: Case 1 - The known elements were input; Case 2 - The upper bounds to the recurring subscript…

The text contains a collection of essays to provide a background of factual information concerning the mathematical sciences in undergraduate education. It is intended for the nonmathematical scientist and the scientifically oriented layman. Contents include: (1) recommendations with regard to increasing the available faculty, strengthening the…

The coefficient of precision type of reliability originally defined for scalar variables is generalized to vector variables and named vector reliability. The new coefficient ranges from zero to one. Additional basic properties of vector reliability are derived. Vector information is defined as a simple function of vector reliability. A number of…

After considering the growth in the use of mathematics in the past 25 years, this report makes four major recommendations regarding the undergraduate curriculum: (1) The mathematics department should offer a course or two in applied mathematics which treat some realistic situations completely, including the steps of problem formulation, model…

This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…

TO DEVELOP A BETTER MATHEMATICAL BASIS FOR FACTOR ANALYSIS, A MATHEMATICAL APPROACH WAS FORMULATED FOR FIXING COMMUNALITIES AND THEIR COMPLEMENTS, UNIQUENESSES, AS WELL. WHILE THE INVESTIGATOR WAS UNABLE TO PROVE THAT MINIMUM-TRACE CRITERIA FIX COMMUNALITIES UNIQUELY, A SET OF IDENTITIES AND INEQUALITIES WAS LOCATED AMONG THE COMMUNALITIES AND,…

Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

This presidential address to the Australian Association of Mathematics Teachers discusses some problems surrounding the teaching of mathematics and argues for an approach that would blend together the learning and applying of mathematics. (MP)

Three examples illustrate a method for solving word problems: guess a solution, write an expression to check the guess, and substitute a variable for the guess in the expression. (MP)

A method for converting a three-dimensional coordinate system to a two-dimensional coordinate system is explained. (MN)

This paper discusses several applications of combinational mathematics to social situations and problems in the social sciences. (SD)

Presents part eight of a continuing series on the exponential function in which, given the current population of the Earth and assuming a constant growth rate of 1.9 percent backward looks at world population are made. (SL)