Tipos de raciocínio identificados na resolução de uma tarefa de análise da produção escrita

Abstract

This work addresses the theme of possible types of reasoning that can be evidenced in the resolution of a Written Production Analysis Task (TAPE). The Analysis of Written Production is approached as a new possibility for the teaching of mathematics that promotes the participation of students in the process of building mathematical knowledge while the teacher becomes the mediator of the activity, and works together with his students, this gives the teacher an opportunity to review your methods. The reasoning sequences can be considered as the processes that the mind develops to solve a problem, whether that solution is correct or incorrect. The work brings the analysis of nine tasks, solved by a 3rd year high school student, on the content of geometric progression and the results show that, in most tasks, creative reasoning is present in the construction of the answers.