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.…

Connections between gifted intellect and creativity and Klaus Riegel's Dialectical Psychology are discussed. Dialectical Psychology is explained in terms of the set-theoretic operation of symmetric difference and the set-theoretic complement thereof. It is shown how this structure is involved in developmental psychology, memory, learning, gifted…

This article is the third in a series on the teaching of sets and some of the reasons for doing so. A discussion is presented of the use of set language in teaching concepts from logic, probability and algebra. (JP)

Three strategies were used to teach 39 community college students about partition of a set.'' Mean achievement of the Exemplification group on the exemplification test was significantly greater than the average of the means of the Characterization-followed-by-exemplification group and the Characterization-preceded-and-followed-by-exemplification…

THE SETS OF INSTRUCTIONAL MATERIALS PRESENTED IN THIS VOLUME WERE DESIGNED TO CALL INTO THE LEARNING SITUATION THE MOST HIGHLY DEVELOPED COGNITIVE APTITUDES OF INDIVIDUAL STUDENTS. THE ASSUMPTION BEHIND THEIR DESIGN WAS THAT LEARNING DIFFICULTIES IN VARIOUS SUBJECT-MATTER AREAS COULD BE MINIMIZED BY ALTERING THE CONTENT OF TEXTUAL MATERIAL TO FIT…

Analyzed are the different stages in the conceptual evolution of infinity as developed historically through the work of Bolzano and Cantor. Results of a study of 18 to 20 year old's concept of infinity prior to instruction produced aspects of the passage between conceptual levels of infinity. (MDH)

AN EXPLORATORY STUDY WAS CONDUCTED ON THE INTERACTION BETWEEN COGNITIVE APTITUDES AND VARIED INSTRUCTIONAL TREATMENTS (TEACHING MATERIALS AND TEACHER METHODS) TO DETERMINE IF LEARNING DIFFICULTIES COULD BE SIGNIFICANTLY MINIMIZED BY ALTERING THE CONTENT OF INSTRUCTIONAL TREATMENTS TO FIT THE COGNITIVE APTITUDE PATTERNS OF INDIVIDUAL LEARNERS. THE…