Procesos de objetivación en el desarrollo del pensamiento probabilístico por parte de estudiantes de décimo grado

Abstract

Our research proposal suggests the study of the function of the body, speech (oral and written), artifacts, signs and the social interaction in the process of objectification of knowledge, that mediate the mathematical activity of students when working with the non-deterministic contexts mathematical ideas. We suggest the identification, description and analysis under the Objectification Theory (TO) to tackle tasks of assigning probabilities. Consequently we are focused on the qualitative research approach. For the analyzing, the suggested methodology from the TO, which is denominated "multi-semiotic methodology" which considers, on one hand that Knowledge can be defined as a semiotic social process where “sensual, perceptual, kinesthetic, linguistics and symbolic actions” (Radford 2015d, p. 561), emerging in the activity always in movement. On the other hand it provides a psychological explanation about the signs (which can be written, oral as well as embodied signs like gestures, and body language). Highlighting, how the signs mean and how they make themselves reflection tools that let individual plan their actions (Radford y Sabena, 2015b) in time as well as space.