Modelos probabilísticos discretos
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
dARK ID: | ark:/38995/0013000009fz0 |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/10969 |
Resumo: | Today's society needs and requires more and more people capable to understand math as we are constantly faced with numbers, formulas, graphs and other mathematical content. These subjects are important and necessary for a student?s social life. We seek in this work to provide a brief history of probability, its basic principles, some insights on probabilistic models and examples on how to apply it in high school. In this sense, we aim to bring a didactic pedagogical approach for probability teaching that allows the student to think, present and create strategies for solving a problem. The student becomes a knowledge builder and the teacher acts as knowledge moderator that will explain, stimulate and supervise, without imposing mathematical truths that can often be obscured in the students' reality. |
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Vargas Júnior, Valdivinohttp://lattes.cnpq.br/1795859800919467Correa, Alejandro RoldanRodriguez, Pablo MartinVargas, Tiago Moreirahttp://lattes.cnpq.br/8019928221711519Souza, Washington Luiz Martins de2020-12-09T11:45:09Z2020-12-09T11:45:09Z2020-10-30SOUZA, W. L. M. Modelos probabilísticos discretos. 2020. 100 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2020.http://repositorio.bc.ufg.br/tede/handle/tede/10969ark:/38995/0013000009fz0Today's society needs and requires more and more people capable to understand math as we are constantly faced with numbers, formulas, graphs and other mathematical content. These subjects are important and necessary for a student?s social life. We seek in this work to provide a brief history of probability, its basic principles, some insights on probabilistic models and examples on how to apply it in high school. In this sense, we aim to bring a didactic pedagogical approach for probability teaching that allows the student to think, present and create strategies for solving a problem. The student becomes a knowledge builder and the teacher acts as knowledge moderator that will explain, stimulate and supervise, without imposing mathematical truths that can often be obscured in the students' reality.A sociedade atual necessita e requer cada vez mais de pessoas capacitadas para o contexto matemático visto que nos deparamos a todo momento com números, fórmulas, gráficos e outros conteúdos matemáticos. É indispensável a importância destes assuntos para a vida social dos alunos. Buscamos neste trabalho dispor sobre um pouco de história da probabilidade, seus princípios básicos, alguns casos de modelos probabilísticos e exemplos de aplicabilidade no ensino médio. Neste sentido, almejamos trazer uma proposta didática pedagógica para o ensino da probabilidade que no que lhe concerne permita ao aluno meditar, expor e criar estratégias para a resolução de um problema. O aluno precisa se tornar construtor do conhecimento e o professor sendo incumbido o papel de mediador do conhecimento, vindo a ser o vetor que irá explicar, estimular, direcionar, mas sem impor verdades matemáticas que possam muitas vezes ficar obscuras na realidade dos alunos.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2020-12-08T14:34:09Z No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Washington Luiz Martins de Souza - 2020.pdf: 1059276 bytes, checksum: daa1aebd87598b1dbc57f8a243d93014 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2020-12-09T11:45:09Z (GMT) No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Washington Luiz Martins de Souza - 2020.pdf: 1059276 bytes, checksum: daa1aebd87598b1dbc57f8a243d93014 (MD5)Made available in DSpace on 2020-12-09T11:45:09Z (GMT). No. of bitstreams: 2 license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Dissertação - Washington Luiz Martins de Souza - 2020.pdf: 1059276 bytes, checksum: daa1aebd87598b1dbc57f8a243d93014 (MD5) Previous issue date: 2020-10-30porUniversidade 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/openAccessProbabilidadeModelos probabilísticosModelos probabilísticos discretosProbabilityCIENCIAS EXATAS E DA TERRA::MATEMATICAModelos probabilísticos discretosDiscrete probabilistic modelsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6750050050027187reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/3651eef1-3916-43db-a508-3f0197c73174/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Washington Luiz Martins de Souza - 2020.pdfDissertação - Washington Luiz Martins de Souza - 2020.pdfapplication/pdf1059276http://repositorio.bc.ufg.br/tede/bitstreams/f0815d3a-fa1b-476f-8743-24e598294664/downloaddaa1aebd87598b1dbc57f8a243d93014MD53LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/fc4ca722-6593-496d-9a06-3e9b8a246f14/download8a4605be74aa9ea9d79846c1fba20a33MD51tede/109692020-12-09 08:45:10.031http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/10969http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2020-12-09T11:45:10Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
dc.title.pt_BR.fl_str_mv |
Modelos probabilísticos discretos |
dc.title.alternative.eng.fl_str_mv |
Discrete probabilistic models |
title |
Modelos probabilísticos discretos |
spellingShingle |
Modelos probabilísticos discretos Souza, Washington Luiz Martins de Probabilidade Modelos probabilísticos Modelos probabilísticos discretos Probability CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Modelos probabilísticos discretos |
title_full |
Modelos probabilísticos discretos |
title_fullStr |
Modelos probabilísticos discretos |
title_full_unstemmed |
Modelos probabilísticos discretos |
title_sort |
Modelos probabilísticos discretos |
author |
Souza, Washington Luiz Martins de |
author_facet |
Souza, Washington Luiz Martins de |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Vargas Júnior, Valdivino |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/1795859800919467 |
dc.contributor.referee1.fl_str_mv |
Correa, Alejandro Roldan |
dc.contributor.referee2.fl_str_mv |
Rodriguez, Pablo Martin |
dc.contributor.referee3.fl_str_mv |
Vargas, Tiago Moreira |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/8019928221711519 |
dc.contributor.author.fl_str_mv |
Souza, Washington Luiz Martins de |
contributor_str_mv |
Vargas Júnior, Valdivino Correa, Alejandro Roldan Rodriguez, Pablo Martin Vargas, Tiago Moreira |
dc.subject.por.fl_str_mv |
Probabilidade Modelos probabilísticos Modelos probabilísticos discretos |
topic |
Probabilidade Modelos probabilísticos Modelos probabilísticos discretos Probability CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Probability |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
Today's society needs and requires more and more people capable to understand math as we are constantly faced with numbers, formulas, graphs and other mathematical content. These subjects are important and necessary for a student?s social life. We seek in this work to provide a brief history of probability, its basic principles, some insights on probabilistic models and examples on how to apply it in high school. In this sense, we aim to bring a didactic pedagogical approach for probability teaching that allows the student to think, present and create strategies for solving a problem. The student becomes a knowledge builder and the teacher acts as knowledge moderator that will explain, stimulate and supervise, without imposing mathematical truths that can often be obscured in the students' reality. |
publishDate |
2020 |
dc.date.accessioned.fl_str_mv |
2020-12-09T11:45:09Z |
dc.date.available.fl_str_mv |
2020-12-09T11:45:09Z |
dc.date.issued.fl_str_mv |
2020-10-30 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
SOUZA, W. L. M. Modelos probabilísticos discretos. 2020. 100 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/10969 |
dc.identifier.dark.fl_str_mv |
ark:/38995/0013000009fz0 |
identifier_str_mv |
SOUZA, W. L. M. Modelos probabilísticos discretos. 2020. 100 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2020. ark:/38995/0013000009fz0 |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/10969 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
67 |
dc.relation.confidence.fl_str_mv |
500 500 500 |
dc.relation.department.fl_str_mv |
27 |
dc.relation.cnpq.fl_str_mv |
187 |
dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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 |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFG instname:Universidade Federal de Goiás (UFG) instacron:UFG |
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Repositório Institucional da UFG |
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