O ensino do conceito de área no sexto ano noturno do Ensino Fundamental: uma proposta didática fundamentada na teoria de Van Hiele

Abstract

This research originated from a question by a student of the night shift Elementary School for using mathematics to a plank floor. This led the research problem “as an educational approach to promote the concept of area in order to provide the student with the solution of problem solving of everyday life” We selected two classes (thirty students) for the sixth year of elementary school night, a public school in the city of Maceió, Alagoas. The research is an documentary literature and exploratory type. We chose didactical engineering as methodology. The subjects were selected through interviews and data collection by means of recorded audio file (LG GX 200) depositions/interviews of the subjects, recorded video file (Kodak EasyShare C180 digital camera 10.2 mp) productions the subjects throughout the process and tests Van Hiele – applied before, during and after the completion of the process of investigation. The theoretical approach adopted was Constructivism and Vygotsky’s theory of Van Hiele. Several researchers such as Nasser and Sant’anna, Lorenzato among others, agree that the development of geometric thinking is essential for the student to perform a reading of his daily life, viewing analytical and geometrical aspects in the search for solutions to problem situations. The workshops or the moments of experimentation (ME) – which comprise the didactical sequence (the educational product) – translate the actions perfomed in the classroom on topic-focus with dedication by the students and teacher, and the teaching to make analysis and/or adaptation in accordance with the reality of each school.