O professor de matemática e seus saberes e suas necessidades em relação à sua disciplina

Abstract

This work is a result of the research about the characteristics of the knowledge related to specific content of mathematics matter that a teacher is developing/reworking throughout his professional career. This is a case study, which the participant has the characteristics to be egress of the university course of the education of mathematics teachers; to have sought specific training in mathematics after three years of the professional practice and have a positive relationship with math and with their work. The design of teacher s knowledge that served as the basis emphasizes the social and discursive dimension of knowledge, proposing consider it as an expression of the practical reason, which belongs more to the fields of argument and the trial, than the fields of cognition and of information. We associate to the concept of knowledge the notion of relationship with knowledge, which guides us to consider the contexts and practices, in which the teacher is mobilizing to learn, or mobilize their knowledge in their interaction with students, the school team, with teaching materials and with the circumstances and demands of the profession. Through interviews, investigate how these contexts and practices influenced the construction of logical structure (requirements of rationality) of the teacher's way of thinking, over his career, especially considering the content of mathematics with which he works. Among the results of the research, we noticed that extent, the consistency, organization, the mechanisms for selection and improvement of knowledge of the teacher, concerning to the content of mathematics, are very influenced by the nature and function of their activity and, thus, for his practice in different situations and contexts linked to school. Throughout his career, he presents an authentic (and enviable) mobilization to learn that feeds the process of acquisition and updating of their knowledge, from their professional needs. However, in their experiences into the course of the education of mathematics teachers he found little support to reflect and improve their knowledge and their practices. Considering that the requirements of rationality are the conditions of intelligibility that a person need for the speech and its action their and the other make sense and are acceptable as evidence of a coherent dialogue, we noticed that the experiences of this subject in the universitary course little nurture the dialogue between the higher-level math and its knowledge, leaving, one hand, of to contribute in a meaningful way with their problem and thinking about the content, on the other, working to consolidate perspective in which their knowledge had been constructed to from their practice.