N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFRRJ |
Texto Completo: | https://tede.ufrrj.br/jspui/handle/jspui/1912 |
Resumo: | This study aims to provide a discussion of the concepts involving encryption, through its application of prime numbers, and possible links with education. The criterion used to choose one or other cryptographic system was subjective, many systems have not been addressed, even containing intrinsic relations with the theme. The necessity to exchange confidential information urged the rise of art to encode messages, the virtual network and its millions of users identified the need for a system using public key and at the same time, safe. RSA came to supply the needs of a society that increasingly conducts its banking, commercial and social web. One issue which needs to be thought concerning the way how the contents of the called Number Theory have been presented and learned at school. Something that is traditionally consecrated as boring and meaningless. The art of cryptography brings relevant topics to think about mathematical concepts, providing an education for Troubleshooting. The paths taken, thereafter, provide meaningful experiences for the subject, in emancipatory education, as suggested by Adorno and Ranci?re. Suggested activities from different coding systems intend to instigate students and educators to reconsider the different possibilities of a problem, raising the sensitivity of thinking and find ways to solve and not repeat the mechanisms of a mathematical algorithm, so that the educational act passes by the complex circumstances that present themselves today. |
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Santos, Douglas Mons?res de Melo105.347.247-10Santos, Douglas Mons?res de MeloPereira, Andr? Luiz MartinsNobili, Edilaine Ervilha117.206.257-94http://lattes.cnpq.br/3150016811642884Daineze, Kelly Cristina Santos Alexandre de Lima2017-07-25T20:07:22Z2013-04-15DAINEZE, Kelly Cristina Santos Alexandre de Lima. N?meros primos e criptografia: da rela??o com a educa??o ao sistema RSA. 2013. 43 f. Disserta??o (Mestrado Profissional em Matem?tica em Rede Nacional). Instituto de Ci?ncias Exatas, Universidade Federal Rural do Rio de Janeiro, Serop?dica, 2013.https://tede.ufrrj.br/jspui/handle/jspui/1912This study aims to provide a discussion of the concepts involving encryption, through its application of prime numbers, and possible links with education. The criterion used to choose one or other cryptographic system was subjective, many systems have not been addressed, even containing intrinsic relations with the theme. The necessity to exchange confidential information urged the rise of art to encode messages, the virtual network and its millions of users identified the need for a system using public key and at the same time, safe. RSA came to supply the needs of a society that increasingly conducts its banking, commercial and social web. One issue which needs to be thought concerning the way how the contents of the called Number Theory have been presented and learned at school. Something that is traditionally consecrated as boring and meaningless. The art of cryptography brings relevant topics to think about mathematical concepts, providing an education for Troubleshooting. The paths taken, thereafter, provide meaningful experiences for the subject, in emancipatory education, as suggested by Adorno and Ranci?re. Suggested activities from different coding systems intend to instigate students and educators to reconsider the different possibilities of a problem, raising the sensitivity of thinking and find ways to solve and not repeat the mechanisms of a mathematical algorithm, so that the educational act passes by the complex circumstances that present themselves today.Este trabalho visa estabelecer uma discuss?o sobre os conceitos envolvendo criptografia, atrav?s de sua aplica??o dos n?meros primos, e as poss?veis rela??es com a educa??o. O crit?rio utilizado para optar por este ou aquele sistema criptogr?fico foi subjetivo; muitos sistemas n?o foram abordados, mesmo contendo rela??es intr?nsecas com a tem?tica. A necessidade de troca de informa??es sigilosas instigou o surgimento da arte de codificar mensagens; a rede virtual e seus milh?es de usu?rios apontou a necessidade de um sistema utilizando chave p?blica e, ao mesmo tempo, seguro. O RSA veio para suprir as necessidades de uma sociedade que, cada vez mais, realiza suas transa??es banc?rias, comerciais e sociais via web. Uma quest?o que carece ser pensada diz respeito ? maneira como os conte?dos da chamada Teoria dos N?meros t?m sido apresentados e trabalhados na escola. Algo que ? tradicionalmente consagrado como enfadonho e sem sentido. A arte da criptografia traz consigo temas relevantes para se pensar nos conceitos matem?ticos, propiciando um ensino por Resolu??o de Problemas. Os caminhos percorridos, a partir da?, propiciam experi?ncias significativas para o sujeito, numa educa??o emancipat?ria, como propuseram Adorno e Ranci?re. As atividades sugeridas a partir de diferentes sistemas de codifica??o pretendem instigar os educandos e os educadores a repensar as diferentes possibilidades de um problema, suscitando a sensibilidade do pensar e de buscar maneiras para resolver e n?o repetir os mecanismos de um algoritmo matem?tico, para que o ato educativo perpasse as circunst?ncias complexas que se apresentam na atualidade.Submitted by Jorge Silva (jorgelmsilva@ufrrj.br) on 2017-07-25T20:07:22Z No. of bitstreams: 1 2013 - Kelly Cristina Santos Alexandre de Lima.pdf: 1635869 bytes, checksum: 038861f43fdfe8411b10d93fc0f8533a (MD5)Made available in DSpace on 2017-07-25T20:07:22Z (GMT). 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dc.title.por.fl_str_mv |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
dc.title.alternative.eng.fl_str_mv |
Prime Numbers and Encryption: relationship with education to the RSA system |
title |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
spellingShingle |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA Daineze, Kelly Cristina Santos Alexandre de Lima Cryptography Prime Numbers Criptografia N?meros Primos RSA Matem?tica |
title_short |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
title_full |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
title_fullStr |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
title_full_unstemmed |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
title_sort |
N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA |
author |
Daineze, Kelly Cristina Santos Alexandre de Lima |
author_facet |
Daineze, Kelly Cristina Santos Alexandre de Lima |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Santos, Douglas Mons?res de Melo |
dc.contributor.advisor1ID.fl_str_mv |
105.347.247-10 |
dc.contributor.referee1.fl_str_mv |
Santos, Douglas Mons?res de Melo |
dc.contributor.referee2.fl_str_mv |
Pereira, Andr? Luiz Martins |
dc.contributor.referee3.fl_str_mv |
Nobili, Edilaine Ervilha |
dc.contributor.authorID.fl_str_mv |
117.206.257-94 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/3150016811642884 |
dc.contributor.author.fl_str_mv |
Daineze, Kelly Cristina Santos Alexandre de Lima |
contributor_str_mv |
Santos, Douglas Mons?res de Melo Santos, Douglas Mons?res de Melo Pereira, Andr? Luiz Martins Nobili, Edilaine Ervilha |
dc.subject.eng.fl_str_mv |
Cryptography Prime Numbers |
topic |
Cryptography Prime Numbers Criptografia N?meros Primos RSA Matem?tica |
dc.subject.por.fl_str_mv |
Criptografia N?meros Primos RSA |
dc.subject.cnpq.fl_str_mv |
Matem?tica |
description |
This study aims to provide a discussion of the concepts involving encryption, through its application of prime numbers, and possible links with education. The criterion used to choose one or other cryptographic system was subjective, many systems have not been addressed, even containing intrinsic relations with the theme. The necessity to exchange confidential information urged the rise of art to encode messages, the virtual network and its millions of users identified the need for a system using public key and at the same time, safe. RSA came to supply the needs of a society that increasingly conducts its banking, commercial and social web. One issue which needs to be thought concerning the way how the contents of the called Number Theory have been presented and learned at school. Something that is traditionally consecrated as boring and meaningless. The art of cryptography brings relevant topics to think about mathematical concepts, providing an education for Troubleshooting. The paths taken, thereafter, provide meaningful experiences for the subject, in emancipatory education, as suggested by Adorno and Ranci?re. Suggested activities from different coding systems intend to instigate students and educators to reconsider the different possibilities of a problem, raising the sensitivity of thinking and find ways to solve and not repeat the mechanisms of a mathematical algorithm, so that the educational act passes by the complex circumstances that present themselves today. |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013-04-15 |
dc.date.accessioned.fl_str_mv |
2017-07-25T20:07:22Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
DAINEZE, Kelly Cristina Santos Alexandre de Lima. N?meros primos e criptografia: da rela??o com a educa??o ao sistema RSA. 2013. 43 f. Disserta??o (Mestrado Profissional em Matem?tica em Rede Nacional). Instituto de Ci?ncias Exatas, Universidade Federal Rural do Rio de Janeiro, Serop?dica, 2013. |
dc.identifier.uri.fl_str_mv |
https://tede.ufrrj.br/jspui/handle/jspui/1912 |
identifier_str_mv |
DAINEZE, Kelly Cristina Santos Alexandre de Lima. N?meros primos e criptografia: da rela??o com a educa??o ao sistema RSA. 2013. 43 f. Disserta??o (Mestrado Profissional em Matem?tica em Rede Nacional). Instituto de Ci?ncias Exatas, Universidade Federal Rural do Rio de Janeiro, Serop?dica, 2013. |
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https://tede.ufrrj.br/jspui/handle/jspui/1912 |
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Universidade Federal Rural do Rio de Janeiro |
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UFRRJ |
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Brasil |
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Instituto de Ci?ncias Exatas |
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Universidade Federal Rural do Rio de Janeiro |
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