AN ANNOTATED BIBLIOGRAPHY OF 20 ITEMS AND A DISCUSSION OF ITS SIGNIFICANCE WAS PRESENTED TO DESCRIBE CURRENT UTILIZATION OF SUBJECT THEORIES IN THE CONSTRUCTION OF AN EDUCATIONAL THEORY. ALSO, A THEORY MODEL WAS USED TO DEMONSTRATE CONSTRUCTION OF A SCIENTIFIC EDUCATIONAL THEORY. THE THEORY MODEL INCORPORATED SET THEORY (S), INFORMATION THEORY…

THE CONCERN OF THIS STUDY WAS TO SET FORTH HYPOTHESES ABOUT HUMAN BEHAVIOR, HUMAN KNOWLEDGE, AND MATERIAL CHARACTERISTICS, AS FACTORS INVOLVED IN EDUCATION, AND THEN TO ESTABLISH WAYS FOR RELATING THE HYPOTHESES TO EMPIRICAL DATA. THE APPROACH TAKEN WAS TO INTERRELATE SET THEORY, INFORMATION THEORY, AND GRAPH THEORY WITH GENERAL SYSTEMS THEORY.…

In this paper, the SIGGS Theory is set forth and shown to be a model for educational research. The paper treats of the SIGGS Theory, educational research, and of the SIGGS Theory as a model for educational research. The SIGGS Theory provides characterizations of a general system beyond those developed prior to SIGGS' introduction.…

Two types of questions may be asked in educational inquiry: educological ones--those seeking descriptions of educational events, and programmatic ones--those seeking prescriptions for educational interventions. Quantitative educology is described as consisting of three branches: the philosophy, science, and praxiology of education. The SIGGS…

Describes and illustrates the structure of different versions of Mobius bands called prismatic rings or twisted prisms. Different forms are mentioned, such as the one bent into circular shapes and the toroidal polyhedrons. (GA)

Literature in the area of measurement of comprehensibility is reviewed as it relates to the utilization of mathematical models for English. A number of mathematical language models are presented and explained, and evidence of their usefulness is given where available. In nonmathematical research, studies concerned with measurement of letter…

Presents a three-way, three-mode extension of the two-way, two-mode hierarchical classes model of P. De Boeck and S. Rosenberg (1998) for the analysis of individual differences in binary object x attribute arrays. Illustrates the model with data on psychiatric diagnosis and discusses the relation between the model and other extant models. (SLD)

The use of the systems approach in educational inquiry is not new, and the models of input/output, input/process/product, and cybernetic systems have been widely used. The general systems model is an extension of all these, adding the dimension of environmental influence on the system as well as system influence on the environment. However, if the…

Examines basic issues of data mining using the theory of rough sets, a recent proposal for generalizing classical set theory. Demonstrates that a generalized rough set model can be used for generating rules from incomplete databases. Discusses the importance of rule extraction from incomplete databases in data mining. (AEF)

Most decision problems are those in which a choice among multiple-objective alternatives must be made. The central difficulty of such decision problems lies in finding single decision criteria that combine the decisionmaker's objectives and interests in an acceptable way. In this paper, a general procedure for the construction of such single…

Describes rough sets theory and discusses the advantages it offers for information retrieval, including the implicit inclusion of Boolean logic, term weighting, ranked retrieval output, and relevance feedback. Rough set formalism is compared to Boolean, vector, and fuzzy models of information retrieval and a small scale evaluation of rough sets is…

Presents a set-oriented view of information retrieval and defines a precise model to capture this approach. A number of consequences of the model, such as the limitations implied by a finite index vocabulary, are examined, and the various ways in which the set orientation can influence thinking about information retrieval is discussed. (14…

The paper shows informally how model-theoretical semantics may be used by a computer to give a straight-forward analysis of the meaning of children's language. This approach to semantics grows out of the main thrust of work in mathematical logic. It is discussed in the framework of generative grammar and is based on the application of the…