Modelos probabilísticos discretos

Detalhes bibliográficos
Autor(a) principal: Souza, Washington Luiz Martins de
Data de Publicação: 2020
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
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.
id UFG-2_f950f2b86168bae95f49ff6a4b2a4c48
oai_identifier_str oai:repositorio.bc.ufg.br:tede/10969
network_acronym_str UFG-2
network_name_str Repositório Institucional da UFG
repository_id_str
spelling 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:/38995/0013000009jzrToday'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:/38995/0013000009jzr
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:/38995/0013000009jzr
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
instname_str Universidade Federal de Goiás (UFG)
instacron_str UFG
institution UFG
reponame_str Repositório Institucional da UFG
collection Repositório Institucional da UFG
bitstream.url.fl_str_mv http://repositorio.bc.ufg.br/tede/bitstreams/3651eef1-3916-43db-a508-3f0197c73174/download
http://repositorio.bc.ufg.br/tede/bitstreams/f0815d3a-fa1b-476f-8743-24e598294664/download
http://repositorio.bc.ufg.br/tede/bitstreams/fc4ca722-6593-496d-9a06-3e9b8a246f14/download
bitstream.checksum.fl_str_mv 4460e5956bc1d1639be9ae6146a50347
daa1aebd87598b1dbc57f8a243d93014
8a4605be74aa9ea9d79846c1fba20a33
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)
repository.mail.fl_str_mv tasesdissertacoes.bc@ufg.br
_version_ 1811721469838753792