THE CONCEPT OF FUNCTION AND TEACHER TRAINING: A STUDY OF SPECIALISED LITERATURE
This study has a bibliographical nature. The general objective was to examine theoretical, methodological and didactic aspects of research for the initial and continuous training education of teachers on the concept of function present in the specialized literature. Through a search performed in four distinct databases, scientific articles were selected to compose the corpus of analysis of this study. In this way, from interpretative synthesis of these articles it was possible to determine such aspects, with the purpose of establishing professional learning opportunities for teachers and future teachers who teach mathematics. The results of the bibliographic research were structured in a multipaper format, in three scientific articles, with the specific objectives: (i) to describe theoretical and methodological aspects of research on the concept of function in continuing education, from the realization of a synthesis of the literature; (ii) to identify theoretical and methodological aspects of research on the concept of function in initial training education, through a synthesis of the literature; (iii) to introduce and discuss Professional Learning Tasks (TAP) elaborated on the concept of function, related to mathematical and didactic knowledge for teacher training education. The results reveal in the researches analyzed that teacher education is directed to a scenario in which the professional learning of the mathematics teacher occurs collectively in practice and with practice, enabling the research of teaching in teaching. With regard to the approach of the concept of function in initial and continuing teacher education, the articles analyzed reflect the demand for the development of functional thinking to take place since the Initial Years of Elementary School. Still, it is necessary that the teaching of the concept of function allows the transition of the concept between its multiple representations, without its curricular presentation in a fragmented way.