Building on Fischbein's notion of figural concept, this paper introduces a cognitive model of geometric prediction (GP) processes and proposes a revised definition of GP as the mental process of generation of a new geometrical object through the manipulation of figural elements that maintain invariant certain theoretical elements belonging to the solver’s Theory of Euclidean Geometry. The model was developed during my doctoral study aimed at investigating cognitive aspects involved into processes of prediction in Geometry. I introduce the model and provide an example of the qualitative analyses that can be carried out through it. Specifically, I focus on the central role played by theoretical control and dynamism within the process.
Processes of geometric prediction: proposing a new definition and a model.
Miragliotta, Elisa
2021-01-01
Abstract
Building on Fischbein's notion of figural concept, this paper introduces a cognitive model of geometric prediction (GP) processes and proposes a revised definition of GP as the mental process of generation of a new geometrical object through the manipulation of figural elements that maintain invariant certain theoretical elements belonging to the solver’s Theory of Euclidean Geometry. The model was developed during my doctoral study aimed at investigating cognitive aspects involved into processes of prediction in Geometry. I introduce the model and provide an example of the qualitative analyses that can be carried out through it. Specifically, I focus on the central role played by theoretical control and dynamism within the process.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
