Modelagem matemática e mobilização de conhecimentos didático-matemáticos na formação continuada de professores dos anos iniciais

Abstract

This study has been as aims to investigate the continuing education of teachers who teach mathematics in the early years of Elementary School I, considering a learning environment from the perspective of Mathematical Modeling. It sought to investigate how this continuing education could contribute for reflections about the knowledge to teach mathematics at this education level. Through reflections and questioning over formation meetings, held an interaction between Modeling learning environment to continuous formation of teachers and categories for analysis of the teacher's knowledge proposed by Didactic-mathematical Knowledge Model (KDM), drawn up by Godino, as well as with the Mathematical Knowledge Model for Teaching, proposed by Ball and its collaborators. Teachers belonging to the staff of the public school system of the State of São Paulo attended this research of qualitative measures. The data of this investigation were produced through the audio and video records of formation meetings, by use of copybook, as well as through application of a questionnaire composed of open and closed questions. It can be inferred that, through discussions and reflections during the process of continuing formation, some elements that constitute the teacher’s didactic-mathematical knowledge emerged and were linked to the categories (i) Common Knowledge of the Content and (ii) Expanded Knowledge of Content, belonging to the KDM Math Dimension, as well as with the categories (i) Epistemic, (ii) of Interaction, (iii) of Mediation and (iv) Ecological, belonging to the KDM Didatic Dimension. By analyzing the adopted format for such formation, as well as the method of training implemented by the trainer, we consider that the modeling environment proposed has created opportunities to discuss not only the mathematical content into the classroom, but, mainly, provided discussions which enabled the mobilization of knowledge in a variety of contexts of the practice, contributing to the understanding of the importance of the reflections about the Didactic Dimensions and mathematics of the KDM to the teaching practice.