MODELAGEM NO ENSINO DA MATEMÁTICA: UM VIÉS NA AÇÃO E INTERAÇÃO DO PROCESSO DE ENSINO E APRENDIZAGEM

Abstract

The goal of this paper is to describe the actions and interactions of the students afforded by activities of Math Modelling and to establish possible relations with the Vygotsky's Theory. This way, the question put in investigation has been defined like this: what are the actions and interactions of the students identified in the activities of Math Modelling as from of Vygotsky's reference? Therefore, were described two activities developed using the Math Modelling assuming the conception adopted for Burak (2010). The data collect was realized in a public school in Araucária, in the metropolitan region of Curitiba, state of Paraná, local of work of the teacher and researcher. The research subjects are students from regular middle school, a 8th grade class and a 5th grade class, involving a total of 57 students. The notes in the diary field the activities development and of the comments held, the activities produced by students and their testimony, are part of this material of analisys. The research and the data treatment, putting emphasys on qualitative aspects, are ruled by Bogdan's and Biklen's perspectives (1994). The actions and interactions noticed and invariable in the data collected were discussed in Vygotsky's theory (2007; 2004; 1991; 1988). The signifiers from actions and interactions were considered as from the four-phase model of interest development proposed by Hidi and Renninger (2006), classified as Triggered Situational Interest, Maintained Situational Interest, Emerging Individual Interest, and Individual Interest. The actions classified signalize the process of the internalization the way of think and act, launched in relations with another one - the learning impelling the development. This way, actions noticed by the students, like learn, know, understand, measure, do, think, invent and talk, e.g., show themselves in Individual Interest as result of the Triggered Situational Interest generated by the environment of choice of theme of interest and the shared development of activities - in interactions. This fact corroborated the interest prominence and the other person's role in the individual development. It follows that the Math Modelling tie itself straightly in the Vygotsky's principles, and one is "What the child is able to do with assistance today, will do tomorrow alone". This is the path in the action and interaction in teaching learning mediated by Math Modelling.