In this paper we draw attention to the material dimension of mathematical imagination with the aim to emphasize the creative role of imagination in mathematics teaching and learning. Drawing on previous studies of imagination in mathematical activity and post-humanist visions of affect and the body, we suggest framing imagination as a bodily and affective engagement with mathematics, a way of thinking with (not of) concepts, rather than a cognitive simulation of mental creations. Our account of the materiality of mathematical imagination is exemplified through the analysis of brief episodes from a teaching experiment that engaged grade 5 students in working with a spirograph.

The materiality of mathematical imagination

Ferrara, Francesca;Ferrari, Giulia
2023-01-01

Abstract

In this paper we draw attention to the material dimension of mathematical imagination with the aim to emphasize the creative role of imagination in mathematics teaching and learning. Drawing on previous studies of imagination in mathematical activity and post-humanist visions of affect and the body, we suggest framing imagination as a bodily and affective engagement with mathematics, a way of thinking with (not of) concepts, rather than a cognitive simulation of mental creations. Our account of the materiality of mathematical imagination is exemplified through the analysis of brief episodes from a teaching experiment that engaged grade 5 students in working with a spirograph.
2023
Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)
Budapest, Hungary
10-14 luglio 2023
Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)
Alfréd Rényi Institute of Mathematics and ERME
6
5115
5122
https://hal.science/hal-04420764
Mathematical imagination ; body-tool interaction ; materiality ; affect ; diagrams
Ferrara, Francesca; Ferrari, Giulia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/2065299
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