Códigos corretores de erros: exemplos da matemática aplicada em situações do cotidiano

Abstract

This paper aims to offer a didactic sequence to enable the contextualization of teaching the numbering systems, vectors, matrices and linear systems using error correcting codes. Through the mentioned sequence of activities is carried out at historical background of the emergence of error correcting codes, with the use of application problems that depict real situations of day-to-day to motivate students. In addition, the computer is used as a collaborator in the teaching and learning process. The problems are presented in a way that students can understand what motivated Hamming to research on error correcting codes, because situations are presented in which: no error detection is possible; detection is possible, but not correction; detection is possible, but not the correction with confidence; and it is possible the detection and correction with some degree of certainty. Thus, through the mentioned didactic sequence, which has a constructivist approach to knowledge construction, it is expected that students at the end of the activities, understand how mathematics is useful to solve problems and be able to verify that the contents studied in high school have more applications in everyday life than they realize.