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Download full textThompson, Patrick W. – 1999
A discussion of the papers, "Representation, Vision and Visualization: Cognitive Functions in Mathematical Thinking. Basic Issues for Learning" (Raymond Duval) and "On the Development of Human Representational Competence from an Evolutionary Point of View: From Episodic to Virtual Culture" (James J. Kaput), is presented. Kaput…
Descriptors: Cultural Relevance, Elementary Secondary Education, Epistemology, Knowledge Representation
Ajose, Sunday A. – 1999
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)
Descriptors: Cognitive Structures, Elementary Secondary Education, Higher Education, Knowledge Representation
Arcavi, Abraham – 1999
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…
Descriptors: Cognitive Structures, Elementary Secondary Education, Foreign Countries, Higher Education
