A noção de infinito na educação básica: reflexões e proposta

Detalhes bibliográficos
Autor(a) principal: Pereira , Luiz Marcos Cavalcanti
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UNIGRANRIO
Texto Completo: http://localhost:8080/tede/handle/tede/262
Resumo: The concept of infinity is related to other math concepts. It is considered basic to the development of some processes related to the calculation and analysis, such as: length of curves, area, volume, as well as in the development of other concepts such as limit, derivative and integral that form the basis of calculation in several courses in Brazilian and foreign universities. With these perspectives the research seeks to identify the notions that are related to the concept of infinity and contribute to its significance, are present, and how, in the didactic materials commonly used in public basic education schools in Rio de Janeiro, in especially in high school. For this purpose, after the construction of literature review on the topic in question, selected and analyzed two educational productions approved in the National Textbook High School Program. The data allowed us to verify the scarcity of these notions in studies and teaching materials oriented to basic education, and led to the need to draw up a set of activities and texts aimed at the issue at hand that make up our educational product. The main objective of our proposal is to contribute to increase the quality of teaching / learning process of basic education on the study of concepts involving the infinite, becoming source of information and deepening of several topics related to the theme.
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spelling Lozano, Abel Rodolfo GarciaFreitas, Adriano VargasLozano, Abel Rodolfo GarciaFreitas, Adriano VargasVicter, Eline das FloresPenha, Sidnei Percia daSiqueira, Ângelo SantosPereira , Luiz Marcos Cavalcanti2018-07-24T17:16:09Z2015-02-26PEREIRA, Luiz Marcos Cavalcanti. A noção de infinito na educação básica: reflexões e proposta. 2015. 109 f. Dissertação (Mestrado em Ensino das Ciências na Educação Básica) - Universidade do Grande Rio "Prof. José de Souza Herdy", Duque de Caxias, 2015.http://localhost:8080/tede/handle/tede/262The concept of infinity is related to other math concepts. It is considered basic to the development of some processes related to the calculation and analysis, such as: length of curves, area, volume, as well as in the development of other concepts such as limit, derivative and integral that form the basis of calculation in several courses in Brazilian and foreign universities. With these perspectives the research seeks to identify the notions that are related to the concept of infinity and contribute to its significance, are present, and how, in the didactic materials commonly used in public basic education schools in Rio de Janeiro, in especially in high school. For this purpose, after the construction of literature review on the topic in question, selected and analyzed two educational productions approved in the National Textbook High School Program. The data allowed us to verify the scarcity of these notions in studies and teaching materials oriented to basic education, and led to the need to draw up a set of activities and texts aimed at the issue at hand that make up our educational product. The main objective of our proposal is to contribute to increase the quality of teaching / learning process of basic education on the study of concepts involving the infinite, becoming source of information and deepening of several topics related to the theme.O conceito de infinito está relacionado com outras noções da matemática. É considerado básico para o desenvolvimento de alguns processos relacionados ao cálculo e à análise, tais como comprimento de curvas, área, volume, bem como na elaboração de outros conceitos como limite, derivada e integral, que constituem a base do cálculo em diversos cursos nas universidades brasileiras e estrangeiras. Nessas perspectivas, a pesquisa busca identificar se as noções que estão relacionadas com o conceito de infinito e que contribuem para a sua significação estão presentes, e de que forma, nos materiais didáticos comumente utilizados em escolas públicas da educação básica do Rio de Janeiro, em especial, no ensino médio. Para essa finalidade, após a construção de revisão de bibliografia sobre o tema em questão, selecionamos e analisamos duas produções didáticas aprovadas no Programa Nacional do Livro Didático Ensino Médio. Os dados obtidos nos permitiram verificar a escassez dessas noções em estudos e materiais didáticos orientados à educação básica, e nos conduziram para a necessidade da elaboração de um conjunto de atividades e textos voltados ao tema em questão que compõe nosso produto educacional. O objetivo central de nossa proposta é contribuir para ampliar a qualidade do processo de ensino/aprendizagem da educação básica em relação ao estudo de conceitos envolvendo o infinito, tornando-se fonte de consulta e aprofundamento de diversos tópicos relativos ao tema.Submitted by Janser dos Santos Nascimento (janser.nascimento@unigranrio.com.br) on 2018-07-24T17:16:09Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Luiz Marcos Cavalcanti Pereira.pdf: 1858647 bytes, checksum: 41d8d7302f6ab33044899ae9b0307c0f (MD5)Made available in DSpace on 2018-07-24T17:16:09Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Luiz Marcos Cavalcanti Pereira.pdf: 1858647 bytes, checksum: 41d8d7302f6ab33044899ae9b0307c0f (MD5) Previous issue date: 2015-02-26CNPqapplication/pdfporUniversidade do Grande RioPrograma de Pós-Graduação em Ensino das CiênciasUNIGRANRIOBrasilUnigranrio::Ensino das Ciênciashttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEducaçãoMatemática – Estudo e ensinoInfinitoEnsino médioTeoria dos conjuntosEDUCAÇÃOENSINO DE CIÊNCIAS E MATEMÁTICAA noção de infinito na educação básica: reflexões e propostainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisreponame:Biblioteca Digital de Teses e Dissertações da UNIGRANRIOinstname:Universidade do Grande Rio (UNIGRANRIO)instacron:UNIGRANRIOLICENSElicense.txtlicense.txttext/plain; charset=utf-81982http://localhost:8080/tede/bitstream/tede/262/1/license.txt4a50535e8405f611398e6e2d408dbd1bMD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://localhost:8080/tede/bitstream/tede/262/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://localhost:8080/tede/bitstream/tede/262/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-80http://localhost:8080/tede/bitstream/tede/262/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54ORIGINALLuiz Marcos Cavalcanti Pereira.pdfLuiz Marcos Cavalcanti Pereira.pdfapplication/pdf1858647http://localhost:8080/tede/bitstream/tede/262/5/Luiz+Marcos+Cavalcanti+Pereira.pdf41d8d7302f6ab33044899ae9b0307c0fMD55tede/2622018-07-24 14:16:09.953oai:localhost: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Biblioteca Digital de Teses e Dissertaçõeshttp://tede.unigranrio.edu.br/PUBhttp://tede.unigranrio.edu.br/oai/requestrepositorio@instituicao.br||repositorio@instituicao.bropendoar:2018-07-24T17:16:09Biblioteca Digital de Teses e Dissertações da UNIGRANRIO - Universidade do Grande Rio (UNIGRANRIO)false
dc.title.por.fl_str_mv A noção de infinito na educação básica: reflexões e proposta
title A noção de infinito na educação básica: reflexões e proposta
spellingShingle A noção de infinito na educação básica: reflexões e proposta
Pereira , Luiz Marcos Cavalcanti
Educação
Matemática – Estudo e ensino
Infinito
Ensino médio
Teoria dos conjuntos
EDUCAÇÃO
ENSINO DE CIÊNCIAS E MATEMÁTICA
title_short A noção de infinito na educação básica: reflexões e proposta
title_full A noção de infinito na educação básica: reflexões e proposta
title_fullStr A noção de infinito na educação básica: reflexões e proposta
title_full_unstemmed A noção de infinito na educação básica: reflexões e proposta
title_sort A noção de infinito na educação básica: reflexões e proposta
author Pereira , Luiz Marcos Cavalcanti
author_facet Pereira , Luiz Marcos Cavalcanti
author_role author
dc.contributor.advisor1.fl_str_mv Lozano, Abel Rodolfo Garcia
dc.contributor.advisor-co1.fl_str_mv Freitas, Adriano Vargas
dc.contributor.referee1.fl_str_mv Lozano, Abel Rodolfo Garcia
dc.contributor.referee2.fl_str_mv Freitas, Adriano Vargas
dc.contributor.referee3.fl_str_mv Victer, Eline das Flores
dc.contributor.referee4.fl_str_mv Penha, Sidnei Percia da
dc.contributor.referee5.fl_str_mv Siqueira, Ângelo Santos
dc.contributor.author.fl_str_mv Pereira , Luiz Marcos Cavalcanti
contributor_str_mv Lozano, Abel Rodolfo Garcia
Freitas, Adriano Vargas
Lozano, Abel Rodolfo Garcia
Freitas, Adriano Vargas
Victer, Eline das Flores
Penha, Sidnei Percia da
Siqueira, Ângelo Santos
dc.subject.por.fl_str_mv Educação
Matemática – Estudo e ensino
Infinito
Ensino médio
Teoria dos conjuntos
topic Educação
Matemática – Estudo e ensino
Infinito
Ensino médio
Teoria dos conjuntos
EDUCAÇÃO
ENSINO DE CIÊNCIAS E MATEMÁTICA
dc.subject.cnpq.fl_str_mv EDUCAÇÃO
ENSINO DE CIÊNCIAS E MATEMÁTICA
description The concept of infinity is related to other math concepts. It is considered basic to the development of some processes related to the calculation and analysis, such as: length of curves, area, volume, as well as in the development of other concepts such as limit, derivative and integral that form the basis of calculation in several courses in Brazilian and foreign universities. With these perspectives the research seeks to identify the notions that are related to the concept of infinity and contribute to its significance, are present, and how, in the didactic materials commonly used in public basic education schools in Rio de Janeiro, in especially in high school. For this purpose, after the construction of literature review on the topic in question, selected and analyzed two educational productions approved in the National Textbook High School Program. The data allowed us to verify the scarcity of these notions in studies and teaching materials oriented to basic education, and led to the need to draw up a set of activities and texts aimed at the issue at hand that make up our educational product. The main objective of our proposal is to contribute to increase the quality of teaching / learning process of basic education on the study of concepts involving the infinite, becoming source of information and deepening of several topics related to the theme.
publishDate 2015
dc.date.issued.fl_str_mv 2015-02-26
dc.date.accessioned.fl_str_mv 2018-07-24T17:16:09Z
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dc.identifier.citation.fl_str_mv PEREIRA, Luiz Marcos Cavalcanti. A noção de infinito na educação básica: reflexões e proposta. 2015. 109 f. Dissertação (Mestrado em Ensino das Ciências na Educação Básica) - Universidade do Grande Rio "Prof. José de Souza Herdy", Duque de Caxias, 2015.
dc.identifier.uri.fl_str_mv http://localhost:8080/tede/handle/tede/262
identifier_str_mv PEREIRA, Luiz Marcos Cavalcanti. A noção de infinito na educação básica: reflexões e proposta. 2015. 109 f. Dissertação (Mestrado em Ensino das Ciências na Educação Básica) - Universidade do Grande Rio "Prof. José de Souza Herdy", Duque de Caxias, 2015.
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