The hierarchical structure of the formal operational period of Piaget's theory of cognitive development was explored through the application of ordering theoretical methods to a set of data that systematically utilized the various formal operational schemes. Results suggested a common structure underlying task performance. (Author/BH)

The Rasch model was used to equate reading comprehension tests of widely different difficulty for three groups of fifth grade students of widely different ability. Under these extreme circumstances, the Rasch model equating was unsatisfactory. (Author/CTM)

With even the simplest bivariate regression, least-squares solutions are inappropriate unless one assumes a priori that reciprocal effects are absent, or at least implausible. While this discussion is limited to bivariate regression, the issues apply equally to multivariate regression, including stepwise regression. (Author/CTM)

Since many texts use an incorrect argument in obtaining the instantaneous velocity of a rotating body, a correct and concise derivation of this quantity for a rather general case is given. (Author/SK)

Discusses the meaning of symmetry of the laws of physics and symmetry of the universe and the connection between symmetries and asymmetries of the laws of physics and those of the universe. An explanation of Hamilton's principle is offered. The material is suitable for informal discussions with students. (Author/SK)

An integral equation for the s-wave bound-state solution is derived and then solved for a square-well potential. It is shown that the scattering solutions continue to exist at negative energies, and when evaluated at the energy of a bound state these solutions do reduce to the bound-state solution.

The development of a mathematics model to simulate small animal populations is described. Assumptions of the population model and options in the program are discussed. (MK)

Details of a course on mathematical modeling for graduate teachers of mathematics are presented. The rationale, objectives, course content, assessment methods are discussed along with several illustrative examples and difficulties encountered in finding appropriate problems. (MP)

Student weaknesses on problem-solving portions of the NAEP mathematics assessment are discussed using Polya's heuristics as a framework. Recommendations for classroom instruction are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Results partially confirm the hypothesis that variations in collective bargaining agreements and major contract areas can be explained by the economic and institutional environments in which negotiations occur. (Author/IRT)

A model of competition probabilities using past performances of competitors against common opponents is constructed. Application to predicting victories in athletic competitions is also reviewed. (MP)

Large-scale Markov chain models and Monte Carlo simulation, two types of models useful for academic managers to analyze academic staffing policies, are described. Their relative advantages and disadvantages regarding technical requirements and performance, as well as managerial usefulness at different levels of the university, are discussed.…

Not only did voter power contribute meaningfully to local control behavior regardless of the exact shape of the relations between state aid and local control, but the hypothesized inverse relationship between state aid and local control did not receive support. Journal availability: see EA 511 898. (Author/IRT)

Argues that Blacks have begun to receive monetary benefits from education commensurate with those of Whites and that the gap has narrowed because of the relative upgrading of educational quality for Blacks. Available from American Economic Review, 1313 21st Avenue So., Suite 809, Nashville, TN 37212. (Author/IRT)

Ten models are proposed for predicting a student's final grade placement in a computer-assisted instruction curriculum from the time the student spends taking lessons. Two of the simplest models, using only the most recent point and parameters estimated for the whole group, are best at prediction. (Author/RD)