The aim of this research is to introduce a method of constructing knowledge structures which represent the relationships among the knowledge items in a pedagogically useful way. A prototype, "MyTeLeMap," was implemented to support both learners and instructors. Learners could visualize the knowledge structures of different knowledge…

A considerable amount of research has been undertaken to provide insights into the valid assessment of team performance. However, in many settings, manual and therefore labor-intensive assessment instruments for team performance have limitations. Therefore, automated assessment instruments enable more flexible and detailed insights into the…

This paper contains the comments of a discussant reviewing the paper, "The Role of Visual Representations in the Learning of Mathematics" (Abraham Arcavi). A research-based evaluation is made that focuses on the ideas of stochastics and the epistemological triangle. (Contains 28 references.) (DDR)

As biological and socio-cultural beings, humans are encouraged and aspire to "see" not only what comes "within sight," but also what is not possible to see. Visualization is described as offering a method of seeing the unseen. These ideas are organized into sections that focus on seeing the unseen in data, seeing the unseen in…

This paper suggests that the systems of representations that we use in mathematics have a cultural origin and concludes that the knowledge produced with the help of these systems of representation likewise has a cultural origin. This assertion forces a reformulation of the issue of objectivity in terms that differ from those inherited from…

This paper focuses on some main distinctions that are necessary to analyze mathematical knowledge from a learning point of view and explain how many students come up against difficulties at each level of the curriculum. From a learning point of view, visualization cannot be used as an immediate and obvious support for understanding, even though it…

Maintains that region familiarity is an important prerequisite in the instructional use of cartograms. Cartograms are value-by-area maps that increase or decrease areas in order to illustrate various data (e.g. book reading in the western United States). Discusses necessary cognitive processes for the visualization of data. (MJP)