It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners' solution strategies and cognitive…

Graphing is a fundamental part of the scientific process. Scales are key but little-studied components of graphs. Adopting a resources-based framework of cognitive structure, we identify the potential intuitive resources that six undergraduates of diverse majors and years at a public US research university activated when constructing scales, and…

Some have argued that belief in God is intuitive, a natural (by-)product of the human mind given its cognitive structure and social context. If this is true, the extent to which one believes in God may be influenced by one's more general tendency to rely on intuition versus reflection. Three studies support this hypothesis, linking intuitive…

We hypothesize that cultural narratives such as myths and folktales are more likely to achieve cultural stability if they correspond to a minimally counterintuitive (MCI) cognitive template that includes mostly intuitive concepts combined with a minority of counterintuitive ones. Two studies tested this hypothesis, examining whether this template…

School boards and communities commonly face a challenge when choosing superintendents: should they select somebody from inside the community or from outside? The tacit knowledge (knowledge gained by experience) each superintendent brings to his or her district is unique and influences the beliefs of school boards in unique ways. This study…

Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)

Students can learn to solve problems of qualitative integration and differentiation independently of their study of formal calculus or algebra. This exploratory study investigated the basic intuitions that elementary school children construct in their daily experience with physical and symbolic change. Elementary school children (n=18) were…

Knowledge elicitation through programming was studied to determine students' intuitive ideas about motion. The subjects, 17-year-old sixth-form science students and 14-year-old third-form students, were asked to write expert systems programs about motion; and their interactions with their own knowledge were observed. The 17-year-old students had…

Most people know much more than they can communicate because their personal knowledge is so thoroughly grounded in experience that it cannot be expressed in its fullness. This study examines how two superintendents used tacit knowledge to build shattered trust in their school boards. Trust is first examined as a multifaceted aspect of human…

External representations have a great impact on what and how students learn. One key manner in which environments can operate upon novices' knowledge is through helping them ground their problem solving in an understanding of the situation embodied by the problem. In this paper, students' difficulties in microeconomics problem solving were…

To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…