Uma proposta de oficina sobre códigos para a contextualização do estudo de aritmética e matrizes no ensino médio
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Data
2015-08-07
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Universidade Federal de Goiás
Resumo
This work aims to present the content of Error-Correcting Codes to teachers, in
a way to use this content in their classes. A code representing a particular word
or symbol by another word or symbol. This study handle with the error correcting
codes, especially that said linears. Thus, the concept of code is disclosed along two
examples. The Linear Algebra and Algebra requirements are exposed, handling the
concept of nite elds, the de nition of linear space and linear transformation. The
error correcting codes, from alphabets de ned in nite elds, allow sending messages,
even in noisy channels, they can be interpreted with a lower probability of error. This
process is done in linear codes through linear transformations. Hamming codes and
Reed-Solomon codes are exemples of linear codes which are showed in this work. After
presented the theoretical basis of content, it is proposed a workshop that has as target
students from the nal years of High School. This workshop explore some common
feature codes, such as the use of check digits and the interpretation of texts by digital
machines by zeros and ones. It is hoped that this work can assist the release of some
current research topics among teachers and encourage the use of new methodologies
for teaching content that is considered di cult and useless to several students
of High School.
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ALVES, B. C. Uma proposta de oficina sobre códigos para a contextualização do estudo de aritmética e matrizes no ensino médio. 2015. 74 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2015.