Retrospectiva histórica e perspectiva atuais da análise de erros em Educação Matemática

Abstract

The presente article offers a historical retrospective of error analysis in Mathematics Education, pointing out different phases, which are: investigations based on behaviorism, on information processing and on constructivism. In the first phase, the research aimed, mainly, to classify the types of errors made by students in the early school years. Computer programs have been developed to detect patterns of errors under the information processing point of view. According to the constructive approach researches enhance the role of the error in the building of knowledge. Among the researchers that are nowadays dedicated to Error analysis we find Raffaella Borasi, presents several Alternatives for the use of errors, according to the researcher’s Didactic poupose and focus of interest. From Borasi’s scheme, examples of use errors in the teaching of differential and Integral calculus are discussed.