Prepredicative knowledge: understandings about the idea of angle

Abstract

In the most diverse moments, we are immersed in situations in which we can mobilize knowledge that refer to the close relationship between the spatiality experienced by the subject in his daily life and geometry as a deductive science. This article focuses on this relationship by highlighting pre-predicative knowledge, approached by Merleau-Ponty as a temporally and spatially located mode of understanding, which has as its core the meanings that occur in the experience of the life-world and that are constituted spontaneously, when we are with the other experiencing the intersubjective space. For this, this text dialogues with the ideas brought by the philosopher and by other authors who pay attention to pre-predicative knowledge and, in connection with this dialogue, presents an excerpt from research with students of mathematics graduation, about a discussion around the idea of angle. The manifestations and interactions that occurred advanced towards the senses and meanings spontaneously explained by them, without the intention of reaching a mathematically established definition of the concept, but in the perspective of the understandings about a production given in the experiences in a common ground. Inquiring the ideas that permeate the comprehension, are made explicit understandings regarding the geometric production given in the temporality and spatiality of the intersubjective relationships of the lifeworld, historically constituted in its dynamic objectivity, indicating possibilities for pedagogical work.