O processo de ensino-aprendizado de Matemática e a relação professor-aluno no primeiro ano do ensino fundamental

Abstract

This study has the objective of analyse and understand the process of (not) teach and (not) learn Mathematics in the first year of elementary school in a rural school from Uberlândia city. We organized the present work in five parts; in the first on we elaborated a discussion about the rural school to understand a little bit about the history of that institution and we could note that since its beginning, in the first decades of the twentieh century, till nowadays that institution has been coming marginalized. In the second part, we presented our conception around the Mathematics learn and teaching process based in a historic-cultural emphasis, including teachers and students like historic subjects and emphasizing the interaction between those ones in the process of learning and teaching. We also discussed the daily school as fundamental space-time of the educative work. Because of that, we considerate the not learning, hardly ever pointed as a failure of the students, as a complex school phenomenon that requires a deep analyses of the daily school and the class room. The process of construction of the methodological route from this present works is presentend in the third part. We chose for a qualitative approach and developed the following steps: observation in class, rooms with field notes, production and analysis of exercises used by the research participants teachers in the class rooms with their students. In the fourth part, we told a little of the story of Jardim das Flores , school in wich we made the field search during the second half of 2005 and first half of 2006. In that part we presented the 3 teachers and the students with who we worked; with the description of those subjects and their relationships we tried to substantiate the discussion about the process of learning and teaching Mathematics. We noted that there are a lot of variations in the relation of learning and teaching and evidenced that one that took our attention by the most in the school: the not teaching and the not learning. We, although, selected other variations as axis of analysis: the teaching and learning, the not teaching and the learning, the teaching and the not learning, and the not teaching and the not learning. We could note that there is a deep relation between the way used by the teacher to teach and the way of learning of the student and, to teach Mathematics is necessary considerate the students as culture subjects and the daily school as a learning space for the teachers. Finally, we also salient the importance of the collaborative work for the continued formation of teachers.