Trajetória hipotética de aprendizagem: análise combinatória

Abstract

The present study aimed to verify the possibility to reconcile constructivist perspectives of learning with the planning of teaching in a collaborative work between researches and teachers, what refers to the theme Combinatorial Analysis, and verify the performance of mathematics teachers in the activities of planning education, consistent with the constructivist perspective of present learning in the Hypothetical Learning Trajectory. It is a qualitative study with three teachers and 104 high school students of two public schools of the state of São Paulo and has as theorical reasons Simon s works about the use of Hypothetical Learning Trajectory in the education of mathematics to formulate models of teaching based on constructivism. The results led us to conclude that the use of researches contributes to organizing the teaching of Combinatorial Analysis; that the commitment of the instructor when planning your lessons and the pratice in the classroom consistent with the constructivist perspective are fundamental to reach the expected results to the elaboreted Hypothetical Learning Trajectory; that the teacher performance has a decisive role in mediating the construction of knowledge of your students; and that the interaction and participation among students and teachers are essential for learning to occur