This paper investigates the role of teacher interaction in the development of mathematical understanding of five students who worked together on a math-modeling task. The dialogue between the teacher/researcher and students is analyzed. Preliminary findings suggest that where the mathematical thinking of the students was understood, interventions…

A mathematical model of a soccer-league competition results is set up and investigated using simple randomization techniques. The hypothesis that winning the league championship was purely luck was statistically tested. (JP)

Library governing boards are faced with many administrative questions affecting services offered. This paper describes the operational research approach to the problem of allocation of funds to different departments of a university for purchase of materials. A linear programing model is suggested for solving the allocation problem. (5 references)…

Special cases of the factor analysis model are developed for four selection situations. Methods are suggested whereby parameters in each case can be estimated using a maximum likelihood procedure recently developed by Joreskog. (Author)

Article gives three plans for learning stations on mathematics dealing with measurements. Exercises deal with weight, length, and comparative measurements. (GB)

Discusses formation of chemical molecules via Mobius strip intermediates, and concludes that many special physics-chemical properties of the fully closed circular form (1) of polyoma DNA are explainable by this topological feature. (CC)

A brief survey of the mathematics involved in the theory of educational testing. (MM)

Criteria for a reasonable axiomatic system are discussed. A discussion of the historical attempts to prove the independence of Euclids parallel postulate introduces non-Euclidean geometries. Poincare's model for a non-Euclidean geometry is defined and analyzed. (LS)

Parts of this paper were presented at the annual meeting of the Modern Language Association, New York, N.Y., December 30, 1970, under the title Toward the Formalization of Rudeness in Conversation.'' (VM)

This replication of earlier research tests a mathematical model for examining the conditions under which individuals innovate. By raising costs from zero -- as validated in earlier research -- to .25, this replication defines an innovation boundary at which individuals behave as predicted by their position with respect to that boundary. (Author/JH)

The search for an optimal decision strategy can be treated as a mathematical programming problem with linear objective function to be maximized over the convex set of certain functional space, provided one is willing to accept some ergodicity assumptions of the Markovian environment. (10 references) (Author)

Examines recent developments in the application of mathematical programing techniques to educational planning problems. Gives applications for selected problems at national, State, regional, and local levels of planning and notes the implications for educational research methodology. Special attention is given to applications at the school…