Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education

Detalhes bibliográficos
Autor(a) principal: Pontes, Edel Alexandre Silva
Data de Publicação: 2022
Outros Autores: Silva, Bruno Henrique Macêdo dos Santos, Oliveira, Elinelson Gomes de, Lira, Lidianne Leite e
Tipo de documento: Artigo
Idioma: por
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/14609
Resumo: One of the first difficulties faced by teachers and educators in basic education is to deliberate which strategies need to be maintained in order to provide skillful and motivating educational practices in learning mathematics. This article aimed to suggest a pedagogical practice linked to a mathematical tool for coding and decoding messages for students between the end of elementary school and the beginning of high school. The central idea is to present a model of encryption by polynomial functions of degree n, so that two people, subject A and subject B, can communicate without the intervention of a third subject C. The concept of cryptography was born precisely from this need to send messages, with total security, between two or more agents. It is hoped that this article can contribute to the debate on this extraordinary demand in the process of teaching and learning mathematics in basic education - the use of new contents that allow bringing mathematical knowledge closer, by means of activities that provoke motivation for its learning, among those involved.  
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spelling Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic EducationCriptografia em Funções Polinomiais: Um Processo de Ensino e Aprendizagem de Matemática na Educação BásicaTeaching and Learning of MathematicsCryptographyPolynomial functions of degree nEnsino e Aprendizagem de MatemáticaCriptografiaFunções Polinomiais de grau nOne of the first difficulties faced by teachers and educators in basic education is to deliberate which strategies need to be maintained in order to provide skillful and motivating educational practices in learning mathematics. This article aimed to suggest a pedagogical practice linked to a mathematical tool for coding and decoding messages for students between the end of elementary school and the beginning of high school. The central idea is to present a model of encryption by polynomial functions of degree n, so that two people, subject A and subject B, can communicate without the intervention of a third subject C. The concept of cryptography was born precisely from this need to send messages, with total security, between two or more agents. It is hoped that this article can contribute to the debate on this extraordinary demand in the process of teaching and learning mathematics in basic education - the use of new contents that allow bringing mathematical knowledge closer, by means of activities that provoke motivation for its learning, among those involved.  Uma das primeiras dificuldades deparadas, por professores e pedagogos na educação básica, é deliberar quais estratégias necessitam ser mantidas no desígnio de proporcionar práticas educativas hábeis e motivadoras no aprendizado de matemática. Esse artigo objetivou sugerir uma prática pedagógica vinculada a uma ferramenta matemática de codificação e descodificação de mensagens para alunos que estejam entre o final do ensino fundamental e o início do ensino médio. A ideia central é apresentar um modelo de criptografia por funções polinomiais de grau n, de modo que duas pessoas, sujeito A e sujeito B, possam se comunicar sem a intervenção de um terceiro sujeito C. O conceito de criptografia nasceu precisamente dessa necessidade de se remeter mensagens, com total segurança, entre dois ou mais agentes. Espera-se que este artigo possa contribuir para o debate desta extraordinária demanda no processo de ensino e aprendizagem de matemática na educação básica – a utilização de novos conteúdos que permitam aproximar o conhecimento matemático, por meio de atividades que provoquem motivação para seu aprendizado, entre os envolvidos.  Universidade Federal de Viçosa - UFV2022-09-13info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1460910.18540/jcecvl8iss6pp14609-01eThe Journal of Engineering and Exact Sciences; Vol. 8 No. 6 (2022); 14609-01eThe Journal of Engineering and Exact Sciences; Vol. 8 Núm. 6 (2022); 14609-01eThe Journal of Engineering and Exact Sciences; v. 8 n. 6 (2022); 14609-01e2527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVporhttps://periodicos.ufv.br/jcec/article/view/14609/7471Copyright (c) 2022 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessPontes, Edel Alexandre SilvaSilva, Bruno Henrique Macêdo dos SantosOliveira, Elinelson Gomes de Lira, Lidianne Leite e2022-09-29T16:49:34Zoai:ojs.periodicos.ufv.br:article/14609Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2022-09-29T16:49:34The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
Criptografia em Funções Polinomiais: Um Processo de Ensino e Aprendizagem de Matemática na Educação Básica
title Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
spellingShingle Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
Pontes, Edel Alexandre Silva
Teaching and Learning of Mathematics
Cryptography
Polynomial functions of degree n
Ensino e Aprendizagem de Matemática
Criptografia
Funções Polinomiais de grau n
title_short Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
title_full Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
title_fullStr Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
title_full_unstemmed Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
title_sort Cryptography in Polynomial Functions: A Teaching and Learning Process of Mathematics in Basic Education
author Pontes, Edel Alexandre Silva
author_facet Pontes, Edel Alexandre Silva
Silva, Bruno Henrique Macêdo dos Santos
Oliveira, Elinelson Gomes de
Lira, Lidianne Leite e
author_role author
author2 Silva, Bruno Henrique Macêdo dos Santos
Oliveira, Elinelson Gomes de
Lira, Lidianne Leite e
author2_role author
author
author
dc.contributor.author.fl_str_mv Pontes, Edel Alexandre Silva
Silva, Bruno Henrique Macêdo dos Santos
Oliveira, Elinelson Gomes de
Lira, Lidianne Leite e
dc.subject.por.fl_str_mv Teaching and Learning of Mathematics
Cryptography
Polynomial functions of degree n
Ensino e Aprendizagem de Matemática
Criptografia
Funções Polinomiais de grau n
topic Teaching and Learning of Mathematics
Cryptography
Polynomial functions of degree n
Ensino e Aprendizagem de Matemática
Criptografia
Funções Polinomiais de grau n
description One of the first difficulties faced by teachers and educators in basic education is to deliberate which strategies need to be maintained in order to provide skillful and motivating educational practices in learning mathematics. This article aimed to suggest a pedagogical practice linked to a mathematical tool for coding and decoding messages for students between the end of elementary school and the beginning of high school. The central idea is to present a model of encryption by polynomial functions of degree n, so that two people, subject A and subject B, can communicate without the intervention of a third subject C. The concept of cryptography was born precisely from this need to send messages, with total security, between two or more agents. It is hoped that this article can contribute to the debate on this extraordinary demand in the process of teaching and learning mathematics in basic education - the use of new contents that allow bringing mathematical knowledge closer, by means of activities that provoke motivation for its learning, among those involved.  
publishDate 2022
dc.date.none.fl_str_mv 2022-09-13
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/14609
10.18540/jcecvl8iss6pp14609-01e
url https://periodicos.ufv.br/jcec/article/view/14609
identifier_str_mv 10.18540/jcecvl8iss6pp14609-01e
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/14609/7471
dc.rights.driver.fl_str_mv Copyright (c) 2022 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 8 No. 6 (2022); 14609-01e
The Journal of Engineering and Exact Sciences; Vol. 8 Núm. 6 (2022); 14609-01e
The Journal of Engineering and Exact Sciences; v. 8 n. 6 (2022); 14609-01e
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
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