Mathematical imagination and embodied cognition |
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| Authors: | Ricardo Nemirovsky and Francesca Ferrara |
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| Affiliation: | (1) Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, GMCS Building, Room 503, San Diego, CA 92182-7720, USA;(2) Center for Research in Mathematics and Science Education (CRMSE), 6475 Alvarado Rd. Suite 206, San Diego, CA 92120-5013, USA;(3) Dipartimento di Matematica, Università di Torino, Turin, Italy |
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| Abstract: | The goal of this paper is to explore qualities of mathematical imagination in light of a classroom episode. It is based on the analysis of a classroom interaction in a high school Algebra class. We examine a sequence of nine utterances enacted by one of the students whom we call Carlene. Through these utterances Carlene illustrates, in our view, two phenomena: (1) juxtaposing displacements, and (2) articulating necessary cases. The discussion elaborates on the significance of these phenomena and draws relationships with the perspectives of embodied cognition and intersubjectivity. |
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| Keywords: | Mathematical imagination Embodied cognition Gesture Tool use Trigonometry |
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