Pedagogical strategies for nurturing group creativity in school mathematics have remained largely unexplored despite their significance. In this study, we explored the use of role playing in mathematical modeling activities for nurturing group creativity in a 9th-grade mathematics class in Korea. We described the theoretical bases and types of…

A new visual representation for insight problems permits 22 new quantitative measures; which leads to a detailed diagnosis of a person's (or team's) creative weaknesses; which then leads to prescribing targeted, effective counter-techniques for each weakness. Currently, only two measures are consistently used for insight problem solving: the…

This paper argues that design fixation, in part, entails fixation at the level of meta-representation, the representation of the relation between a representation and its reference. In this paper, we present a mathematical model that mimics the idea of how fixation can occur at the meta-representation level. In this model, new abstract concepts…

This study combines theories related to collective learning and theories related to mathematical creativity to investigate the notion of collective mathematical creativity in elementary school classrooms. Collective learning takes place when mathematical ideas and actions, initially stemming from an individual, are built upon and reworked,…

Investigates two opposing views of creativity, that of the Freudian psychologists vs. the interpretation of humanistic psychologists, and offers a compromising, perhaps more gestalt solution, along with a new mathematical model and ideas for research in developing a more complete theory of creativity. (Author/RK)