Modelagem matemática para aprendizagem significativa de função do primeiro grau

Abstract

In the research that originated this dissertation it was assessed the contributions of a didactic sequence, which uses the mathematic modeling to promote the meaningful learning of the concept from the first degree function and its properties. It was elaborated a didactic sequence in which students could present their previous knowledge and resulting knowledge from studying for a while, following the theory of meaningful learning, proposed by Ausubel (2003). It was sought to start from the reality of the students for the construction of the concept of first-degree function and other related, such as angular and linear coefficients and growth and decay, with meaning and understanding and not by mere repetition. It was tried to answer the following question of research: as a didactic sequence, planned with the mathematical modeling of a daily situation, contributes to the construction of concepts about functions of the first degree, in the sense of developing skills to solve problems and not only by the use of merely decorated formulas or rules? It was possible to confirme that the didactic sequence planned and developed with students from the first grade of high school promoted learning when ccompared the resulting knowledge to the ones demonstrated in the pre tes and that the mathematic modeling, with activities that aim the meaningful learning, is a strategy of learning that enhance the comprehension of the concepts evolved. The analysis of the data was based in two lines that compose the main fundaments proposed by Borssoi and Almeida (2004). The first one, the learner's predisposition to learn, in which the extra content learning of mathematical concepts was observed, and the second, the cognitive, which indicates if the student can understand the mathematical concepts involved from the proposed didactic sequence. The didactic sequence, enhanced from the research results, as well as the learning activities, is available on a website, where it is possible to access the meeting planning for your application.