Cenários para investigação no ensino de medidas de comprimento e superfície: uma proposta colaborativa entre professor e aluno

Abstract

The present work aims to analyze the contributions of the use of landscapes of Investigation, as a different proposal of the teaching of mathematics, from the perspective of Critical Mathematics Education (EMC), in a collaborative approach of the student / teacher and student / math discipline relationship. For this, the research teacher had 30 students from the 6th year of elementary school at a private school in Ponta Grossa, state of Paraná - Brazil, who accepted the invitation to enter a differentiated teaching process through the landscapes of Investigation, in the study of length and surface measurements. In order to reach the research objective, a diagnostic evaluation was carried out, before and after the development of mathematical activities, in order to verify the understanding about the content worked on. It was also be taken into account for data collection, the notes of the researcher professor in a logbook, as well as the notes of the students participating in the research. A research is of an applied nature and, from the point of view of the data analysis procedures, it is qualitative under the interpretative focus, they were carried out through each activity with the students. The theoretical framework is based on Ole Skovsmose, a reference for EMC and landscapes of Investigation. For the author, it is necessary for the teacher to leave his “comfort zone” of the exercise paradigm, to lead the student to a differentiated learning process, making him an active participant. Thus, the teacher must seek the use of the dialogicity proposed by Paulo Freire, in order to establish good communication between student and teacher. Therefore, a democratic teaching environment can lead students to take a critical and reflective look at mathematics, making them understand that this discipline is part of their daily lives. In this sense, it is expected with the results of the present research to prove that the landscapes of Investigation can contribute to the practice of teachers and the good relationship between students and the discipline of mathematics. As an educational product, a book in digital format was prepared containing the procedures, referrals, reports and activities, as well as the reactions of the students and the results in relation to the learning of the content, in addition to the attitude of the teacher towards the student and the student in relation to the teacher.