This discussion begins with the five major political values that were reflected in the 1973 reform of the Illinois school aid system. The lawmakers wanted to spend state dollars for education in a way that would improve student and taxpayer equity, maintain local control of school districts, aid poverty-impacted districts, not discriminate against…

The authors derive distance formulas in two-and-three-dimensional coordinate geometry utilizing the concept of similar triangles and the Pythagorean theorem. (MN)

A review of research on higher education institutions' impact on their regions' economic development shows that the impact is significant, but is inconsistently defined and measured. Much economic research effort is needed to clarify the nature and magnitude of colleges' material contributions to the regions they serve. (MSE)

Presents number tricks appropriate for use in workshops, mathematics clubs or at other times when stressing recreational mathematics. (PK)

The general combinatorial problem of counting the number of regions into which the interior of a circle is divided by a family of lines is considered. A general formula is developed and its use is illustrated in two situations. (PK)

Classroom ideas for teaching area and perimeter concepts are presented. Squares, circles and other shapes are examined. Further explorations are suggested. (PK)

Building mathematical sentences is the focus, with worksheets for practice with basic facts and fractions in a problem-solving setting, using logical reasoning. (MNS)

Discusses indeterminancy of selection of terms by indexers and by inquirers as major factors influencing subject access to documents in document retrieval systems. Five types of interactions between these two indeterminancies are discussed, and a change in traditional method of subject searching is suggested to reduce effect of inter-indexer…

Flow diagrams developing cube roots and formulas for the square, sphere, cube, circle and sector, oblong, and cylinder are presented. Some comments on their use, along with calculators, are included. (MNS)

Discusses the concept of temperament interactions in the context of statistical interaction. Categorizes temperament interactions that involve temperament as an independent variable, as a dependent variable, or as both. Describes use of hierarchical multiple regression for the analysis of temperament interactions. (Author/CI)

This paper discusses problems many tenth grade students have when asked to apply a familiar formula in an unfamiliar context: specifically factoring a compound expression. Some of their attempts at solution are presented and discussed in terms of structure sense. (Contains 1 table.) [For complete proceedings, see ED496848.]

Provides formula for estimating number of Africana titles in large libraries using Library of Congress classification schedule. To determine percentage of Africana falling in DT section, distribution of titles in two academic libraries with separate shelflists is analyzed. Core categories of Africana and distribution of northern African titles are…

Until recently, norms of experimental reasoning have lacked systematic theoretical development. Thus, it has been easy for psychologists like Tversky and Kahneman to misclassify certain human reasoning processes as being Pascalian and invalid, rather than as being Baconian and valid. (CP)

A model is described that allows for assessment of alternative funding formulas for postsecondary education systems. Emphasis is on the extent to which marginal funding proposals can offer a viable alternative to traditional linear enrollment driven formulas. The model operates at a statewide level but may be useful at other levels. (MSE)

The viability of Freeman's model, which uses three equations to analyze causative demand and supply determinants, is examined as a management tool for explaining and predicting enrollments and the job market using macro and micro cases. (MSE)