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Master's Dissertation
DOI
10.11606/D.55.2016.tde-24112016-103137
Document
Author
Full name
Daniel Alves Machado
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2016
Supervisor
Committee
Ebert, Marcelo Rempel (President)
Malagutti, Pedro Luiz Aparecido
Moura, Renato José de
Picon, Tiago Henrique
Title in Portuguese
Uma abordagem de dígitos verificadores e códigos corretores no ensino fundamental
Keywords in Portuguese
Códigos corretores
Códigos lineares
Dígitos verificadores
Métrica de Hamming.
Abstract in Portuguese
Este trabalho, elaborado por meio de pesquisa bibliográfica, apresenta um apanhado sobre os dígitos verificadores presentes no Cadastro de Pessoas Físicas (CPF), no código de barras, e no sistema ISBN; faz uma introdução sobre a métrica de Hamming e os códigos corretores de erros; cita a classe de códigos mais utilizada, que são os códigos lineares, e deixa a sugestão de uma proposta pedagógica para professores de matemática aplicarem no Ensino Fundamental, podendo ser ajustada também para o Ensino Médio. No apêndice A, são propostos alguns exercícios que podem ser trabalhados com os alunos em sala de aula.
Title in English
An approach to check digits and error-correcting codes in middle school
Keywords in English
Check digits
Error-correcting codes
Hamming metric
Linear codes
Abstract in English
This work, based on the attached references, presents an overview of the check digits that appear in the Brazilian document CPF, in the bar code and the ISBN system. Moreover, it makes an introduction to the Hamming metric and error-correcting codes. In particular, some considerations about linear codes are done and it makes a suggestion of a pedagogical approach to apply it in middle school and can also be adjusted to high school. In the Appendix A are proposed some exercises to students.
 
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Publishing Date
2016-11-24
 
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