Volume de Sólidos Geométricos um Experimento de Ensino Baseado na Teoria de V. V. Davydov

Abstract

Mathematics is a discipline characterized by a slow learning curve, the students considering it difficult to learn its concepts. For example the teaching of spatial geometry has been distinguished by its abandonment in the classroom. This paper aims at identifying contributions and challenges of teaching spatial geometry, with an arrangement based on the theory of developmental education. What is questioned is: given the concrete conditions, how should one develop education for students in order to form the concept of spatial geometry? Moreover: What sociocultural factors are present affecting the learning of spatial geometry? How do students perceive this type of organization providing education? Does the teacher perceives it as its activity, to teach content based on this type of organization of teaching? And what is the teacher opinion of this form of education? The research was mainly based on the theories of Vygotsky and Davydov, the specific aims being: Identify and analyze the relationships between students and mathematics and with the spatial geometry a day to day basis - identify and analyze the socio-cultural factors in the specific context of school and classroom, that affect learning spatial geometry - consider the opinion of students and teacher, concerning this way of organizing the teaching of spatial geometry. For both, a qualitative study, consisting of a teaching experiment based on the assumptions of Davydov, has been carried out. Data were collected through observations, using semi-structured instruments for diagnostic assessments. The research subjects were math teacher and 28 students in a class of 2nd year of a public high school. Data analysis revealed the following results: motivation of students during the teaching experiment, enhanced knowledge of the contents after the historical logic analysis, a new alternative for providing education to the research subjects, the concept formation of the majority of students, improvement in participation of some students, not even reaching the theoretical thinking, due to various socio-cultural factors, the teaching experiment showed evidence of qualitative changes in teacher performance. It is believed that the main contribution of this research was to show an alternative way of organizing the teaching of mathematics, particularly the teaching of the concept of volume of geometric solids. It is believed that even with the difficulties and contradictions in public school and the children's school life, it is possible to organize an education grounded on the theory of developmental education and contribute to the formation of theoretical thinking in most students.