N?meros Primos e Criptografia: da rela??o com a educa??o ao sistema RSA

Detalhes bibliográficos
Autor(a) principal: Daineze, Kelly Cristina Santos Alexandre de Lima
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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spelling 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
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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.
url https://tede.ufrrj.br/jspui/handle/jspui/1912
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