Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Uendel Ferreira
Data de Publicação: 2020
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/00130000063dj
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/11111
Resumo: This work aims to show a proposal for the use of Logic with didactic suggestions to better understand the theories of Propositional Logic which I have perfected through experiences as a Teacher of Logical Reasoning in preparatory institutions for Public Competitions. The work also presents some Mathematics content attributed in high school grades (Definitions, Theorems, Equalities, Theories and entrance exam exercises with the appropriate resolutions commented) which are present elements of Propositional Logic. These Mathematics contents are shown with the purpose of thinking about the importance of studying the theories of Propositional Logic, making this knowledge an indispensable tool for better understanding in several fields of Mathematics taught in High School. It is understood that, in the context of the teaching of Mathematics, the logical argument, the analysis and the interpretation of information consist of guiding principles of the theoretical assumptions of this Curricular Component. The incorrect use of a logical structure compromises the use of justifications by the students. Thus, in a dynamic and globalized context, it is necessary to rethink curricula and pedagogical practices. Therefore, there is a tendency to search for strategies and new teaching and learning models that bring social reality closer to practices within the school. Thinking about it, is that this study is justified, with the objective of rethinking the work with Logical Reasoning within the scope of the Mathematical Curricular Component, in High School.
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spelling Santos, Maria Bethânia Sardeiro doshttp://lattes.cnpq.br/9592720615600301Santos, Maria Bethânia Sardeiro dosSousa, Flávio Raimundo deFaria, Elisabeth Cristina dehttp://lattes.cnpq.br/5880504469692057Gonçalves, Uendel Ferreira2021-02-25T11:43:51Z2021-02-25T11:43:51Z2020-12-17GONÇALVES, U. F. Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem. 2019. 135 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2020.http://repositorio.bc.ufg.br/tede/handle/tede/11111ark:/38995/00130000063djThis work aims to show a proposal for the use of Logic with didactic suggestions to better understand the theories of Propositional Logic which I have perfected through experiences as a Teacher of Logical Reasoning in preparatory institutions for Public Competitions. The work also presents some Mathematics content attributed in high school grades (Definitions, Theorems, Equalities, Theories and entrance exam exercises with the appropriate resolutions commented) which are present elements of Propositional Logic. These Mathematics contents are shown with the purpose of thinking about the importance of studying the theories of Propositional Logic, making this knowledge an indispensable tool for better understanding in several fields of Mathematics taught in High School. It is understood that, in the context of the teaching of Mathematics, the logical argument, the analysis and the interpretation of information consist of guiding principles of the theoretical assumptions of this Curricular Component. The incorrect use of a logical structure compromises the use of justifications by the students. Thus, in a dynamic and globalized context, it is necessary to rethink curricula and pedagogical practices. Therefore, there is a tendency to search for strategies and new teaching and learning models that bring social reality closer to practices within the school. Thinking about it, is that this study is justified, with the objective of rethinking the work with Logical Reasoning within the scope of the Mathematical Curricular Component, in High School.Este trabalho tem como finalidade mostrar uma proposta de uso da Lógica com sugestões didáticas para melhor compreensão das teorias de Lógica Proposicional as quais tenho aperfeiçoado por meio de experiências vividas como professor de Raciocínio Lógico em instituições preparatórias para Concursos Públicos. O trabalho apresenta também alguns conteúdos de Matemática do Ensino Médio (Definições, Teoremas, Igualdades, Teorias e exercícios de vestibulares com as devidas resoluções comentadas) os quais se fazem presentes elementos de Lógica Proposicional. Esses conteúdos de Matemática são mostrados com o propósito de refletir sobre a importância que se tem de estudar as teorias de Lógica Proposicional, tornando-se esse conhecimento uma ferramenta indispensável para melhor compreensão em diversos campos da Matemática ensinada no Ensino Médio. Entende-se que, no contexto do ensino da Matemática, o argumento lógico, a análise e a interpretação das informações consistem em princípios norteadores dos pressupostos teóricos desse Componente Curricular. O uso incorreto de uma estrutura lógica compromete o uso de justificativas por parte dos alunos. Dessa forma, em um contexto dinâmico e globalizado, faz-se necessário repensar currículos e práticas pedagógicas. Assim sendo, torna-se tendência a busca por estratégias e novos modelos de ensino e aprendizagem que aproximam a realidade social das práticas dentro da escola. Pensando nisso, é que este estudo se justifica, com o objetivo de repensar o trabalho com o Raciocínio Lógico no âmbito do Componente Curricular Matemática, no Ensino Médio.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2021-02-22T15:26:52Z No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Uendel Ferreira Gonçalves - 2019.pdf: 1520902 bytes, checksum: 2a5e67d35bd8e4bc31b46570d73db672 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2021-02-25T11:43:50Z (GMT) No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Uendel Ferreira Gonçalves - 2019.pdf: 1520902 bytes, checksum: 2a5e67d35bd8e4bc31b46570d73db672 (MD5)Made available in DSpace on 2021-02-25T11:43:51Z (GMT). No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Uendel Ferreira Gonçalves - 2019.pdf: 1520902 bytes, checksum: 2a5e67d35bd8e4bc31b46570d73db672 (MD5) Previous issue date: 2020-12-17porUniversidade Federal de GoiásPROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessRaciocínio lógicoLógica matemáticaLógica proposicional e raciocínio analíticoLogical reasoningMathematical logicPropositional logic and analytical reasoningCIENCIAS EXATAS E DA TERRA::MATEMATICAUma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizageminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6750050050027187reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/ca100f4e-d6ce-4d43-a9a6-76ad5cae15b9/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/03ce790e-610b-40a3-b1d5-75a4f2ae7cea/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Uendel Ferreira Gonçalves - 2019.pdfDissertação - Uendel Ferreira Gonçalves - 2019.pdfapplication/pdf1520902http://repositorio.bc.ufg.br/tede/bitstreams/7afb089a-c3d5-437b-99d8-53b2f7493529/download2a5e67d35bd8e4bc31b46570d73db672MD53tede/111112021-02-25 08:43:51.9http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/11111http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2021-02-25T11:43:51Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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
dc.title.pt_BR.fl_str_mv Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
title Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
spellingShingle Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
Gonçalves, Uendel Ferreira
Raciocínio lógico
Lógica matemática
Lógica proposicional e raciocínio analítico
Logical reasoning
Mathematical logic
Propositional logic and analytical reasoning
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
title_full Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
title_fullStr Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
title_full_unstemmed Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
title_sort Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem
author Gonçalves, Uendel Ferreira
author_facet Gonçalves, Uendel Ferreira
author_role author
dc.contributor.advisor1.fl_str_mv Santos, Maria Bethânia Sardeiro dos
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9592720615600301
dc.contributor.referee1.fl_str_mv Santos, Maria Bethânia Sardeiro dos
dc.contributor.referee2.fl_str_mv Sousa, Flávio Raimundo de
dc.contributor.referee3.fl_str_mv Faria, Elisabeth Cristina de
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5880504469692057
dc.contributor.author.fl_str_mv Gonçalves, Uendel Ferreira
contributor_str_mv Santos, Maria Bethânia Sardeiro dos
Santos, Maria Bethânia Sardeiro dos
Sousa, Flávio Raimundo de
Faria, Elisabeth Cristina de
dc.subject.por.fl_str_mv Raciocínio lógico
Lógica matemática
Lógica proposicional e raciocínio analítico
topic Raciocínio lógico
Lógica matemática
Lógica proposicional e raciocínio analítico
Logical reasoning
Mathematical logic
Propositional logic and analytical reasoning
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Logical reasoning
Mathematical logic
Propositional logic and analytical reasoning
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description This work aims to show a proposal for the use of Logic with didactic suggestions to better understand the theories of Propositional Logic which I have perfected through experiences as a Teacher of Logical Reasoning in preparatory institutions for Public Competitions. The work also presents some Mathematics content attributed in high school grades (Definitions, Theorems, Equalities, Theories and entrance exam exercises with the appropriate resolutions commented) which are present elements of Propositional Logic. These Mathematics contents are shown with the purpose of thinking about the importance of studying the theories of Propositional Logic, making this knowledge an indispensable tool for better understanding in several fields of Mathematics taught in High School. It is understood that, in the context of the teaching of Mathematics, the logical argument, the analysis and the interpretation of information consist of guiding principles of the theoretical assumptions of this Curricular Component. The incorrect use of a logical structure compromises the use of justifications by the students. Thus, in a dynamic and globalized context, it is necessary to rethink curricula and pedagogical practices. Therefore, there is a tendency to search for strategies and new teaching and learning models that bring social reality closer to practices within the school. Thinking about it, is that this study is justified, with the objective of rethinking the work with Logical Reasoning within the scope of the Mathematical Curricular Component, in High School.
publishDate 2020
dc.date.issued.fl_str_mv 2020-12-17
dc.date.accessioned.fl_str_mv 2021-02-25T11:43:51Z
dc.date.available.fl_str_mv 2021-02-25T11:43:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv GONÇALVES, U. F. Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem. 2019. 135 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2020.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/11111
dc.identifier.dark.fl_str_mv ark:/38995/00130000063dj
identifier_str_mv GONÇALVES, U. F. Uma breve reflexão sobre a lógica proposicional com sugestões didáticas para melhoria da aprendizagem. 2019. 135 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2020.
ark:/38995/00130000063dj
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dc.relation.confidence.fl_str_mv 500
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http://creativecommons.org/licenses/by-nc-nd/4.0/
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rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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