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Roth, Wolff-Michael; Hwang, SungWon – Journal of Mathematical Behavior, 2006
The notions of "abstract" and "concrete" are central to the conceptualization of mathematical knowing and learning. Much of the literature takes a dualist approach, leading to the privileging of the former term at the expense of the latter. In this article, we provide a concrete analysis of a scientist interpreting an unfamiliar graph to show how…
Descriptors: Scientists, Mathematics Instruction, Generalization, Concept Formation
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Bowen, G. Michael; Roth, Wolff-Michael – Research in Science Education, 1998
Microanalyzes graph use in lectures drawn from artifacts compiled from videotaping all lectures and seminars in a 13-week ecology course. Focuses on both the text and the gesture-related references made in the reading of a graph in an ecology lecture. Contains 36 references. (DDR)
Descriptors: Concept Formation, Data Analysis, Ecology, Graphs