Mathematical imagination and embodied cognition

被引:96
作者
Nemirovsky, Ricardo [1 ,2 ]
Ferrara, Francesca [3 ]
机构
[1] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA
[2] CRMSE, San Diego, CA 92120 USA
[3] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
关键词
Mathematical imagination; Embodied cognition; Gesture; Tool use; Trigonometry; GESTURES;
D O I
10.1007/s10649-008-9150-4
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
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.
引用
收藏
页码:159 / 174
页数:16
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