As contribuições de um curso de formação em modelagem matemática para o desenvolvimento de um guia formativo na perspectiva dos professores participantes

Abstract

This work presents the research developed in the Professional Master in Mathematics Education (UFJF) whose purpose was to answer the following question: What should a Mathematics Modeling course offer in the context of Mathematics Education in order to positively influence the teaching practices of the teachers involved? The general objective of this research was to observe, describe, compare and understand how Mathematics teachers conceive Modeling in their future teaching practices, seeking to identify relations with their experiences and conceptions of Mathematics and Teaching, in the context of Mathematical Modeling Post-graduation in Mathematics Education of the Federal University of Juiz de Fora. And the specific objectives consisted in: describe and understand the participants' conceptions regarding Mathematics and its teaching; to describe, interpret and discuss personal experiences with Mathematics and particularly with Modeling, reported by these subjects before and after being involved in a special training course in Mathematical Modeling, as well as observe, discriminate and understand this involvement; and to produce an educational product that meets the aspirations of the academic community and serves as a subsidy for the training of teachers with respect to Modeling and for the practice of the future teacher of Mathematics who intends to act in this context. Initially a Pilot Survey was carried out, in which questionnaires were used with the intention of knowing the relationship of the teachers who teach Mathematics with Mathematical Modeling, both in its formation and in its practices. The answers to this questionnaire made it possible to structure the second phase of this research, Field Research, where the educational product was developed, the fruit of this work. This educational product consists of a training manual in Mathematical Modeling, which was elaborated from an initial timetable proposed in the discipline of Mathematical Modeling of this master program, taking into account the analysis of the literature of the area, the data of the Pilot Research and the questionings and suggestions from the teachers enrolled in said subject. In order to reach the objectives outlined in this research, a qualitative approach was used through the Research-Action methodology, and as data collection techniques were used: questionnaires, observation, field notebooks, audio and documentary records. Analyzes of the data, collected throughout the research, point out that there are deficiencies regarding the presence of Modeling in teacher training courses, both with respect to the teacher's training to use it in the future in their classrooms, as well as in specific Mathematics disciplines , that is, trainers also do not use this resource. There are complaints about the existing courses in the area, which are too much to the theoretical discussion and do not contemplate the practice. These are factors taken into account for the construction of the educational product that is intended to be useful both for the initial formation and for the continued formation of the teacher, so that he feels more secure and prepared to implement such a proposal in his classrooms, in different contexts and levels of education.