Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.

Detalhes bibliográficos
Autor(a) principal: Ferreira, Ronize Lampert
Data de Publicação: 2006
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional Universidade Franciscana
Texto Completo: http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/456
Resumo: This research proposes to check whether the use of a didactic sequence, created according to the stages of the Didactic Engineering, presenting problems concerning real situations, motivating the research and activities related to the appearance of logarithms, it is contributing to the construction of comprehension of the logarithm concept by students. The study is based on didactic of mathematics, which is concerned about experiences results in the classroom related to teaching-learning processes of mathematics subjects. The methodology that was used follows the Didactic Engineering principles, which is justified due to the fact that it is a conception that gives importance to the theoretical dimension as well as to the experiential dimension of the research and whose objective is to analyze the didactic situations, object of study of the mathematics education. The activities of the sequence were elaborated in order to have students from the first grade of high school level, 7 from Colégio Militar de Santa Maria, taking part in the building of the logarithm concept. In this study, the productions of 27 (twenty-seven) students, who were grouped in trios, were analyzed. One can infer from the later analysis that the activities of the sequence contributed to the acquisition of the logarithm concept. The obtained results also showed the classes that were performed at the computer labarotary, using Winplot software, facilitated the construction of exponential and logarithmic function graphics, allowing the development of competences to interpret them as well as the construction of the logarithmic scale. Moroever, the development of the activities related to the teaching sequence made students learn the logarithm concept and the logarithmic scale more significantly, turning it possible for students to use this concept to understand the real world phenomena.
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spelling Bisognin, Elenihttp://lattes.cnpq.br/0872986001066865http://lattes.cnpq.br/5370288185357442Ferreira, Ronize Lampert2018-08-13T19:53:00Z2006-12-13Ferreira, Ronize Lampert. Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.. 2006. 151f. Dissertação( Mestrado Profissionalizante em Ensino de Física e Matemática) - Centro Universitário Franciscano, Santa Maria - RS .http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/456This research proposes to check whether the use of a didactic sequence, created according to the stages of the Didactic Engineering, presenting problems concerning real situations, motivating the research and activities related to the appearance of logarithms, it is contributing to the construction of comprehension of the logarithm concept by students. The study is based on didactic of mathematics, which is concerned about experiences results in the classroom related to teaching-learning processes of mathematics subjects. The methodology that was used follows the Didactic Engineering principles, which is justified due to the fact that it is a conception that gives importance to the theoretical dimension as well as to the experiential dimension of the research and whose objective is to analyze the didactic situations, object of study of the mathematics education. The activities of the sequence were elaborated in order to have students from the first grade of high school level, 7 from Colégio Militar de Santa Maria, taking part in the building of the logarithm concept. In this study, the productions of 27 (twenty-seven) students, who were grouped in trios, were analyzed. One can infer from the later analysis that the activities of the sequence contributed to the acquisition of the logarithm concept. The obtained results also showed the classes that were performed at the computer labarotary, using Winplot software, facilitated the construction of exponential and logarithmic function graphics, allowing the development of competences to interpret them as well as the construction of the logarithmic scale. Moroever, the development of the activities related to the teaching sequence made students learn the logarithm concept and the logarithmic scale more significantly, turning it possible for students to use this concept to understand the real world phenomena.Esta pesquisa propõe verificar a utilização de uma seqüência didática, elaborada segundo as etapas da Engenharia Didática, com problemas que privilegiam situações reais incentivando à pesquisa e atividades relacionadas ao surgimento dos logaritmos, contribuindo para a construção e compreensão do conceito de logaritmo por parte dos alunos. O estudo está fundamentado na didática da matemática que se preocupa com resultados de experiências em sala de aula, relativas ao ensino e aprendizagem de conteúdos matemáticos. A metodologia utilizada segue os princípios da Engenharia Didática, a qual se justifica pelo fato de se tratar de uma concepção que dá importância tanto a dimensão teórica, como experimental da pesquisa e cuja finalidade é analisar as situações didáticas, objeto de estudo da educação matemática. As atividades da seqüência foram elaboradas visando a participação dos alunos da 1ª série do Ensino Médio do Colégio Militar de Santa Maria-RS na construção do conceito de logaritmo. Nesse trabalho, foram analisadas as produções de 27 (vinte e sete) alunos, organizados em trios. Pode-se inferir a partir das análises a posteriori, que as atividades da seqüência contribuíram para a aquisição do conceito de logaritmo. Os resultados obtidos também revelam que as aulas realizadas no laboratório de informática, com auxílio do software Winplot, facilitaram a construção dos gráficos, permitindo o desenvolvimento de competências para a interpretação dos mesmos, bem como a compreensão da função logarítmica como inversa da função exponencial. Ainda, as atividades da seqüência de ensino envolveram situações que tornaram a aprendizagem do conceito de logaritmo mais significativo, possibilitando aos alunos utilizarem-se desse conceito para o entendimento de fenômenos do mundo real.Submitted by MARCIA ROVADOSCHI (marciar@unifra.br) on 2018-08-13T19:53:00Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_RonizeLampertFerreira.pdf: 730586 bytes, checksum: 837d3c289f53a72a9260a87dab460785 (MD5)Made available in DSpace on 2018-08-13T19:53:00Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_RonizeLampertFerreira.pdf: 730586 bytes, checksum: 837d3c289f53a72a9260a87dab460785 (MD5) Previous issue date: 2006-12-13application/pdfhttp://www.tede.universidadefranciscana.edu.br:8080/retrieve/1010/Dissertacao_RonizeLampertFerreira.pdf.jpgporCentro Universitário FranciscanoMestrado Profissionalizante em Ensino de Física e MatemáticaUNIFRABrasilEnsino de Matemáticahttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEngenharia didática; seqüência de ensino; LogaritmosFísica e MatemáticaDidactic; Engineering; Teaching Sequence; LogarithmsUma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisreponame:Repositório Institucional Universidade Franciscanainstname:Universidade Franciscana (UFN)instacron:UFNTHUMBNAILDissertacao_RonizeLampertFerreira.pdf.jpgDissertacao_RonizeLampertFerreira.pdf.jpgimage/jpeg3588http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/6/Dissertacao_RonizeLampertFerreira.pdf.jpg03c6debfd4616e45c4f67b278cd11073MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-8309http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/1/license.txte4ae80c7384074d77a55dabcdffdf13aMD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-80http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54ORIGINALDissertacao_RonizeLampertFerreira.pdfDissertacao_RonizeLampertFerreira.pdfapplication/pdf730586http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/456/5/Dissertacao_RonizeLampertFerreira.pdf837d3c289f53a72a9260a87dab460785MD55UFN-BDTD/4562018-08-14 01:00:24.66oai:tede.universidadefranciscana.edu.br:UFN-BDTD/456RXN0ZSB0cmFiYWxobyBzZXLDoSBsaWNlbmNpYWRvIHNvYiBhIExpY2Vuw6dhIEF0cmlidWnDp8Ojby1Ow6NvQ29tZXJjaWFsLVNlbURlcml2YcOnw7VlcyA0LjAgSW50ZXJuYWNpb25hbCBDcmVhdGl2ZSBDb21tb25zLiBQYXJhIHZpc3VhbGl6YXIgdW1hIGPDs3BpYSBkZXN0YSBsaWNlbsOnYSwgdmlzaXRlIGh0dHA6Ly9jcmVhdGl2ZWNvbW1vbnMub3JnL2xpY2Vuc2VzL2J5LW5jLW5kLzQuMC8gb3UgbWFuZGUgdW1hIGNhcnRhIHBhcmEgQ3JlYXRpdmUgQ29tbW9ucywgUE8gQm94IDE4NjYsIE1vdW50YWluIFZpZXcsIENBIDk0MDQyLCBVU0EuRepositório de Publicaçõeshttp://www.tede.universidadefranciscana.edu.br:8080/http://www.tede.universidadefranciscana.edu.br:8080/oai/requestopendoar:2018-08-14T04:00:24Repositório Institucional Universidade Franciscana - Universidade Franciscana (UFN)false
dc.title.por.fl_str_mv Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
title Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
spellingShingle Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
Ferreira, Ronize Lampert
Engenharia didática; seqüência de ensino; Logaritmos
Física e Matemática
Didactic; Engineering; Teaching Sequence; Logarithms
title_short Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
title_full Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
title_fullStr Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
title_full_unstemmed Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
title_sort Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.
author Ferreira, Ronize Lampert
author_facet Ferreira, Ronize Lampert
author_role author
dc.contributor.advisor1.fl_str_mv Bisognin, Eleni
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/0872986001066865
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5370288185357442
dc.contributor.author.fl_str_mv Ferreira, Ronize Lampert
contributor_str_mv Bisognin, Eleni
dc.subject.por.fl_str_mv Engenharia didática; seqüência de ensino; Logaritmos
topic Engenharia didática; seqüência de ensino; Logaritmos
Física e Matemática
Didactic; Engineering; Teaching Sequence; Logarithms
dc.subject.cnpq.fl_str_mv Física e Matemática
Didactic; Engineering; Teaching Sequence; Logarithms
description This research proposes to check whether the use of a didactic sequence, created according to the stages of the Didactic Engineering, presenting problems concerning real situations, motivating the research and activities related to the appearance of logarithms, it is contributing to the construction of comprehension of the logarithm concept by students. The study is based on didactic of mathematics, which is concerned about experiences results in the classroom related to teaching-learning processes of mathematics subjects. The methodology that was used follows the Didactic Engineering principles, which is justified due to the fact that it is a conception that gives importance to the theoretical dimension as well as to the experiential dimension of the research and whose objective is to analyze the didactic situations, object of study of the mathematics education. The activities of the sequence were elaborated in order to have students from the first grade of high school level, 7 from Colégio Militar de Santa Maria, taking part in the building of the logarithm concept. In this study, the productions of 27 (twenty-seven) students, who were grouped in trios, were analyzed. One can infer from the later analysis that the activities of the sequence contributed to the acquisition of the logarithm concept. The obtained results also showed the classes that were performed at the computer labarotary, using Winplot software, facilitated the construction of exponential and logarithmic function graphics, allowing the development of competences to interpret them as well as the construction of the logarithmic scale. Moroever, the development of the activities related to the teaching sequence made students learn the logarithm concept and the logarithmic scale more significantly, turning it possible for students to use this concept to understand the real world phenomena.
publishDate 2006
dc.date.issued.fl_str_mv 2006-12-13
dc.date.accessioned.fl_str_mv 2018-08-13T19:53:00Z
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dc.identifier.citation.fl_str_mv Ferreira, Ronize Lampert. Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.. 2006. 151f. Dissertação( Mestrado Profissionalizante em Ensino de Física e Matemática) - Centro Universitário Franciscano, Santa Maria - RS .
dc.identifier.uri.fl_str_mv http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/456
identifier_str_mv Ferreira, Ronize Lampert. Uma seqüência de ensino para o estudo de logaritmos usando a engenharia didática.. 2006. 151f. Dissertação( Mestrado Profissionalizante em Ensino de Física e Matemática) - Centro Universitário Franciscano, Santa Maria - RS .
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dc.publisher.department.fl_str_mv Ensino de Matemática
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