Divisibilidade e congruência em somatórios

Detalhes bibliográficos
Autor(a) principal: Santos, Raul Rodrigues dos
Data de Publicação: 2018
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/8946
Resumo: This dissertation will present a proposal of Arithmetic teaching, starting from the initial years of Education to Higher Education. The reader will find in this work the following contents: Topics of the History of Mathematics, Arithmetic Progressions, Divisibility, Congruence and Summaries. In the sections, we will have examples solved and proposed activities to be solved by the reader. We have two objectives in this research, the first one is to present a proposal that interrelates mathematical contents of Arithmetic, knowing some historical curiosities and demonstrating Theorems, Propositions, Corollaries, solving examples and questions of the Brazilian Games of Mathematics of the Public Schools (OBMEP). And the second is to propose two Theorems and two Corollas of divisibility and congruence. The theorems, definitions, corollaries, demonstrations and etc. of this bibliographical research were, to a large extent, based on established authors as [12], [14], [16], [17], [18], [19], [20], [22] e [23].
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spelling Lima, Lidiane dos Santos Monteirohttp://lattes.cnpq.br/3020743359147341Lima, Lidiane dos Santos MonteiroLima, Thaynara Arielly deLula, Kariton Pereirahttp://lattes.cnpq.br/7275594976767995Santos, Raul Rodrigues dos2018-10-05T14:11:09Z2018-07-27SANTOS, Raul Rodrigues dos. Divisibilidade e congruência em somatórios. 2018. 68 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8946ark:/38995/0013000000tvmThis dissertation will present a proposal of Arithmetic teaching, starting from the initial years of Education to Higher Education. The reader will find in this work the following contents: Topics of the History of Mathematics, Arithmetic Progressions, Divisibility, Congruence and Summaries. In the sections, we will have examples solved and proposed activities to be solved by the reader. We have two objectives in this research, the first one is to present a proposal that interrelates mathematical contents of Arithmetic, knowing some historical curiosities and demonstrating Theorems, Propositions, Corollaries, solving examples and questions of the Brazilian Games of Mathematics of the Public Schools (OBMEP). And the second is to propose two Theorems and two Corollas of divisibility and congruence. The theorems, definitions, corollaries, demonstrations and etc. of this bibliographical research were, to a large extent, based on established authors as [12], [14], [16], [17], [18], [19], [20], [22] e [23].Esta dissertação apresentará uma proposta de ensino de Aritmética, partindo dos anos iniciais da Educação Básica até o Ensino Superior. O leitor encontrará neste trabalho os seguintes conteúdos: Tópicos da História da Matemática, Progressões Aritméticas, Divisibilidade, Congruência e Somatórios. Nas seções, teremos exemplos resolvidos e atividades propostas a serem solucionados pelo leitor. Temos dois objetivos nesta pesquisa, o primeiro é apresentar uma proposta que inter-relaciona conteúdos matemáticos da Aritmética, conhecendo algumas curiosidades históricas e demonstrando Teoremas, Proposições, Corolários, resolvendo exemplos e questões das Olimpíadas Brasileiras de Matemática das Escolas Públicas (OBMEP). E o segundo é, propor dois Teoremas e dois Corolários de divisibilidade e congruência. Os teoremas, definições, corolários, demonstrações e etc., desta pesquisa bibliográfica, foram, em grande parte, baseados em autores consagrados como [12], [14], [16], [17], [18], [19], [20], [22] e [23].Submitted by Franciele Moreira (francielemoreyra@gmail.com) on 2018-10-04T12:33:28Z No. of bitstreams: 2 Dissertação - Raul Rodrigues dos Santos - 2018.pdf: 1879658 bytes, checksum: 96c8a59837af9f467513e7904dbac69e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-10-05T14:11:09Z (GMT) No. of bitstreams: 2 Dissertação - Raul Rodrigues dos Santos - 2018.pdf: 1879658 bytes, checksum: 96c8a59837af9f467513e7904dbac69e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2018-10-05T14:11:09Z (GMT). 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dc.title.eng.fl_str_mv Divisibilidade e congruência em somatórios
dc.title.alternative.eng.fl_str_mv Divisibility and congruence in summaries
title Divisibilidade e congruência em somatórios
spellingShingle Divisibilidade e congruência em somatórios
Santos, Raul Rodrigues dos
Congruência
Divisibilidade
Somatório
Summation
Congruence
Divisibility
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Divisibilidade e congruência em somatórios
title_full Divisibilidade e congruência em somatórios
title_fullStr Divisibilidade e congruência em somatórios
title_full_unstemmed Divisibilidade e congruência em somatórios
title_sort Divisibilidade e congruência em somatórios
author Santos, Raul Rodrigues dos
author_facet Santos, Raul Rodrigues dos
author_role author
dc.contributor.advisor1.fl_str_mv Lima, Lidiane dos Santos Monteiro
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/3020743359147341
dc.contributor.referee1.fl_str_mv Lima, Lidiane dos Santos Monteiro
dc.contributor.referee2.fl_str_mv Lima, Thaynara Arielly de
dc.contributor.referee3.fl_str_mv Lula, Kariton Pereira
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7275594976767995
dc.contributor.author.fl_str_mv Santos, Raul Rodrigues dos
contributor_str_mv Lima, Lidiane dos Santos Monteiro
Lima, Lidiane dos Santos Monteiro
Lima, Thaynara Arielly de
Lula, Kariton Pereira
dc.subject.por.fl_str_mv Congruência
Divisibilidade
Somatório
Summation
topic Congruência
Divisibilidade
Somatório
Summation
Congruence
Divisibility
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Congruence
Divisibility
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description This dissertation will present a proposal of Arithmetic teaching, starting from the initial years of Education to Higher Education. The reader will find in this work the following contents: Topics of the History of Mathematics, Arithmetic Progressions, Divisibility, Congruence and Summaries. In the sections, we will have examples solved and proposed activities to be solved by the reader. We have two objectives in this research, the first one is to present a proposal that interrelates mathematical contents of Arithmetic, knowing some historical curiosities and demonstrating Theorems, Propositions, Corollaries, solving examples and questions of the Brazilian Games of Mathematics of the Public Schools (OBMEP). And the second is to propose two Theorems and two Corollas of divisibility and congruence. The theorems, definitions, corollaries, demonstrations and etc. of this bibliographical research were, to a large extent, based on established authors as [12], [14], [16], [17], [18], [19], [20], [22] e [23].
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-10-05T14:11:09Z
dc.date.issued.fl_str_mv 2018-07-27
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv SANTOS, Raul Rodrigues dos. Divisibilidade e congruência em somatórios. 2018. 68 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/8946
dc.identifier.dark.fl_str_mv ark:/38995/0013000000tvm
identifier_str_mv SANTOS, Raul Rodrigues dos. Divisibilidade e congruência em somatórios. 2018. 68 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.
ark:/38995/0013000000tvm
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