Abstract
In this chapter we seek to explain how knowledge is constituted when working with dynamic geometry. To this end, we make a comprehensive selection of the studies by Pinheiro (O movimento e a percepção do movimento em ambientes de Geometria Dinâmica. Tese de Doutorado, Instituto de Geociências e Ciências Exatas – Universidade Estadual Paulista, Rio Claro, 2018), which focused on movement and perception of movement in dynamic geometry environments. In this chapter we highlight Pinheiro’s analysis of the ways through which learning was shown in his field of research. We contend that learning with dynamic geometry happens primarily through acts of perception, among which movement, moving, whose implications are shown as configurations and deconfigurations in the software interface, and also in the moving—subject that causes them to happen. Understanding what the movement displays on the screen opens for the subject the possibility of learning about the mathematics which underlies the movement that they perform, as well as about themselves, as a subject of movement, whose action materializes-fixes-transforms-explores-tests-validates-shows-expresses, pointing out ways to acquire knowledge about the subject and also about oneself, since the movement, when viewed as a phenomenon, can be materialized-perceived-understood.
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Notes
- 1.
Understood as Leib, a body with intentional movement. It encompasses all lived experiences and is also the starting point for new experiences. It actualizes and is actualized in motion, assuming different perspectives and setting in motion in the life-world that is incessantly formed along with the incessant configurations and reconfigurations of this body (Merleau-Ponty, 2011).
- 2.
It is intentionality which characterizes consciousness in the pregnant sense of the term, and justifies us in describing the whole stream of experience as at once a stream of consciousness and unity of one consciousness (Husserl, 1972, p. 222).
- 3.
Literally, interface refers to “something that links two faces, which touches both sides, and characterizes a boundary” (Figueiredo, 2014, p. 138, authors’ translation).
- 4.
Motricity is expressed by Merleau-Ponty (2011) as an intentional way of moving. It is the experience of the living-body willed to act as demanded by the life-world, which, in the present study is focused in the perspective of DG software. This is called kinesthetic movement.
- 5.
Kinesthesis contemplates all the “I move” and the “I do” the living-body performs freely.
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Pinheiro, J.M.L., Bicudo, M.A.V., Detoni, A.R. (2020). Understanding Phenomenologically the Constitution of Knowledge When Working with Dynamic Geometry. In: Viggiani Bicudo, M. (eds) Constitution and Production of Mathematics in the Cyberspace. Springer, Cham. https://doi.org/10.1007/978-3-030-42242-4_4
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