A análise do erro como ferramenta de aprendizagem no ensino da matemática básica

Abstract

The analysis of error as a didactic learning tool found echo in the teaching practices based on theories of experimental psychology and constructivist assumptions. To apprehend the mathematical concepts necessary to solve daily problems without the possibility of systematic errors seems to us to have been a great challenge for the majority of the students, being often a precursor of school dropout. However, analyzing the quality of these errors in order to avoid systematizing them seems to have not been an easy task for educators with a degree in mathematics, since they have presented different approaches, depending on the objectives with which teachers and researchers focus on this theme. Without intending to finalize the debate on the subject, we set out to investigate the possibility of using error analysis as a learning tool and, to achieve our goal, our work was divided into four chapters: In chapter I we try to understand until What point the future mathematics teacher can use the error as a didactic learning tool, making a reflection on the error in the current evaluation model by means of proof; In Chapter II, we sought to identify in bibliographical research what theorists say about the presence of error as an integral part of the dialectical process and whether it can be understood as a fundamental element for the change of strategies and facilitating methodologies in stimulating students to persist In their findings and verify in the conclusions conceived by researchers on the same subject the possibility of ratifying the conclusions obtained; In Chapter III, we propose to present the theoretical bases on Proportions, Probabilities, Combinations and fractional Reasons as a way of subsidizing the calculation procedures; In the fourth and last chapter, we present the methodological procedures of the actions to be developed to conclude this work - analysis of the procedures applied by the student in the resolution of mathematical questions in assessments of the type test, regardless of the result obtained - retaking concepts with the use of classes Expositions and the use of collective works. Finishing with our final considerations.