Makes the analogy between Wilfred Bion's theory of mental processes involving preconception and mathematical problem solving. (MDH)

Develops an epistemological and didactic view of the genesis of Cantorian set theory. (Author/MM)

Western psychologists define "set" as a group of items, a disposition toward certain stimuli or certain responses, and the establishment of habitual actions. D. N. Uznadze explains "set" by postulating a general tendency toward habitual action, but qualifies this by stating that the tendency is governed by special factors…

This paper reports two experiments which examined processes involved in children's ability to solve class inclusion problems of the form, "Are there more A' (subclass) or more A (class)?" In the first experiment a total of 216 children in age groups 5, 7 and 9 years were placed in three conditions which were designed to distinguish…

In an effort to cross-validate a Japanese study, a 16 item test of logical connectives was administered to 223 boys and girls at each grade level (third through ninth grades) and two groups of college sophomore girls. The purpose of the test was to assess their understanding of class inclusion and exclusion, class intersection, and class union.…

This curriculum program is intended to promote the development of primary grade children's ability to think. A number of learning activities or tasks are presented along with the teaching strategy to be used in implementing them. The first part of the book describes aspects of the teaching strategy, including selecting activities, preparing for…