A localized system for the evaluation of investment in vocational education in Ohio is described in this four part manual. Following an instruction introduction to the manual, part II provides a description of the analytical framework for this system. Vocational education is analyzed as an investment and an explanation of the criteria used in the…

Discusses the classification of binary oxides as acidic, basic, or amphoteric. Demonstrates how a numerical scale for acidity/basicity of binary oxides can be constructed using thermochemical data for oxoacid salts. Presents the calculations derived from the data that provide the numeric scale values. (TW)

Discusses how all applications of mathematics have a unifying theme, namely, that of mathematical modeling. Three examples of models in science and technology are briefly described. These are suggested as suitable project work in the classroom, which involve collaborative work between science and mathematics. Advantages and benefits of modeling…

Examines two classes of production functions in which the long-run competitive equilibrium scale of the firm increases when the relative price of the dominant factor decreases. Compares these with a third class of production functions where the equilibrium scale is independent of the relative price of the dominant factor. (MJP)

Describes the deterministic simulation (a given input always leads to the same output) and probabilistic simulation (new states are subject to predefined laws of chance). Provides examples of the application of the two simulations with mathematical expressions and PASCAL program. Lists seven references. (YP)

Statistical data can be represented in a number of qualitatively different ways, the choice depending on the following three conditions: the concepts to be investigated; the nature of the data; and the purpose for which they were collected. This paper begins by setting out frameworks that describe the nature of statistical thinking in schools, and…

Cabri3D is a potentially very useful software for learning and teaching 3D geometry. The dynamic nature of the digital diagrams produced with it provides a useful aid for helping students to better develop concept images of geometric concepts. However, since any Cabri3D diagram represents three-dimensional objects on the two dimensional screen of…

Whenever teachers of young children get together there will be differences of opinion about how far children should be taught to count. Some will argue that the focus should be on small numbers to 9, building up the notion of what, say, the name 5 means, what it looks like, and how it can be represented. Others argue that with ice blocks retailing…

Procedures used to map the achievement levels, expressed as total expected scores on the full set of items presented to a grade, onto the Mathematics Composite of the 1990 National Assessment of Educational Progress (NAEP) are described. The Composite, defined as a weighted average of subdomain scores, provides a global measure of mathematics…

This report describes the activities of the Center for Agricultural and Rural Development (CARD), Iowa State University, for the year ending June 30, 1987. During this fiscal year, CARD conducted numerous projects including the following: (1) a policy evaluation on agricultural applications of pesticides and ground water quality for the…

Planning, quality, and efficiency in universities are addressed in the proceedings of the 1984 forum of the European Association for Institutional Research. In addition to quality and efficiency in higher education, the 12 papers and 22 abstracts cover: evaluation of research and programs, the application of statistical techniques, strategic…

A mathematical model was used to consider alternative request routing policies for use in the Illinois Library and Information Network. Given data on interlibrary loan demands, the probability of request success, processing and delivery times for various libraries, and a network request routing policy, the model predicted the probability of…

Discusses the use of a computer program designed to solve the mathematical model associated with soil nutrient uptake by plant roots and to predict the nutrient uptake. Describes a user-friendly personal computer version of this program. (TW)

In this paper, we address mathematics education in rural contexts from a critical pedagogical perspective. We imagine our audience to be mathematics educators and rural educators who may not have background knowledge of critical pedagogy. We also confess that we are mathematics educators first, with interests in critical pedagogy and rural…

Describes class exercises where undergraduates construct and test mathematical models using data and issues related to social security. The students collect data and forecast economic and demographic variables that determine future tax rates. They then discuss government policies that are derived from their models. (MJP)