Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Tipo de documento: | Tese |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da PUC_SP |
Texto Completo: | https://tede2.pucsp.br/handle/handle/11409 |
Resumo: | This present study looked into the professional development of two Mathematics teachers, as a result of their participation in a research project called AProvaME (Argumentation and Proof in Mathematics Education), carried out by Pontifícia Universidade Católica (PUC) of São Paulo. Besides participating as researchers in the project, these teachers were studying for their Professional Mathematics Education Master s degree and teaching in public high schools. The present research monitored their processes during two years, while they were developing, implementing and evaluating learning situations in Geometry, which searched for the proof construction from the students, by the integration of Cabri-Géomètre software in the activities. According to the AProvaME proposal, during their participation in the project, these teachers were involved in a context, where group practices, as reflection, collaboration and investigation, besides others related to teaching experience, as the reflection on their own practice, were developed. This study aimed to check to what extent the teacher s participation in this project, propitiated a change in their conceptions and practices, influencing their professional development. In order to reach this goal, the theoretical references articulated the theories about professional development, the proof and the use of technological resources in the educational environment. The research s methodology was focused in the qualitative investigation, using the case study, considered as analytic, investigating both teachers as multiple cases . These two teachers passed through different processes in their courses, while participating in the AProvaME, which occurred partly because their own personal characteristics, their experience as students and teachers and what they had lived in the project, leading to different evidences of professional development. To one of them, the participation in a group, where practices as reflection, collaboration and investigation were developed, turned to be catalyst to promote changing in conceptions and practices, reflecting in his professional development. The other one, who was not submitted to these practices in such a strong way, could not break with previous conceptions and practices. In spite of this, the results already suggest that to both teachers the participation in the project lead them to broaden their mathematical knowledge. They also became aware of the possibilities of computers use in the learning activities and the difficulties which involves this integration. In the end of the AProvaME, it was verified the importance given by the teachers to the experienced process, in a way that they started to take into account the students development mathematical skills, the reasoning involved in the proof process, even if many times the students were not able to reach the required mathematical formalization. This study presents indications that the way how researches projects are conducted, included in processes of continuity teacher s education programs, where occur group practices, such as reflection, collaboration and investigation, could establish excellent opportunities of professional development for the teachers that attended the project. However, individual and personal factors can also interfere, because the group does not always benefit to all the people involved. This study tried to reveal ways to rethink formative processes, which can result in professional development |
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Ag Almouloud, Saddohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4796934Y9Grinkraut, Melanie Lerner2016-04-27T16:58:57Z2010-01-152009-08-13Grinkraut, Melanie Lerner. Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional. 2009. 349 f. Tese (Doutorado em Educação) - Pontifícia Universidade Católica de São Paulo, São Paulo, 2009.https://tede2.pucsp.br/handle/handle/11409This present study looked into the professional development of two Mathematics teachers, as a result of their participation in a research project called AProvaME (Argumentation and Proof in Mathematics Education), carried out by Pontifícia Universidade Católica (PUC) of São Paulo. Besides participating as researchers in the project, these teachers were studying for their Professional Mathematics Education Master s degree and teaching in public high schools. The present research monitored their processes during two years, while they were developing, implementing and evaluating learning situations in Geometry, which searched for the proof construction from the students, by the integration of Cabri-Géomètre software in the activities. According to the AProvaME proposal, during their participation in the project, these teachers were involved in a context, where group practices, as reflection, collaboration and investigation, besides others related to teaching experience, as the reflection on their own practice, were developed. This study aimed to check to what extent the teacher s participation in this project, propitiated a change in their conceptions and practices, influencing their professional development. In order to reach this goal, the theoretical references articulated the theories about professional development, the proof and the use of technological resources in the educational environment. The research s methodology was focused in the qualitative investigation, using the case study, considered as analytic, investigating both teachers as multiple cases . These two teachers passed through different processes in their courses, while participating in the AProvaME, which occurred partly because their own personal characteristics, their experience as students and teachers and what they had lived in the project, leading to different evidences of professional development. To one of them, the participation in a group, where practices as reflection, collaboration and investigation were developed, turned to be catalyst to promote changing in conceptions and practices, reflecting in his professional development. The other one, who was not submitted to these practices in such a strong way, could not break with previous conceptions and practices. In spite of this, the results already suggest that to both teachers the participation in the project lead them to broaden their mathematical knowledge. They also became aware of the possibilities of computers use in the learning activities and the difficulties which involves this integration. In the end of the AProvaME, it was verified the importance given by the teachers to the experienced process, in a way that they started to take into account the students development mathematical skills, the reasoning involved in the proof process, even if many times the students were not able to reach the required mathematical formalization. This study presents indications that the way how researches projects are conducted, included in processes of continuity teacher s education programs, where occur group practices, such as reflection, collaboration and investigation, could establish excellent opportunities of professional development for the teachers that attended the project. However, individual and personal factors can also interfere, because the group does not always benefit to all the people involved. This study tried to reveal ways to rethink formative processes, which can result in professional developmentEste trabalho investigou o desenvolvimento profissional de dois professores de Matemática, como decorrência de sua participação em um projeto de pesquisa, o AProvaME (Argumentação e Prova na Matemática Escolar), conduzido pela Pontifícia Universidade Católica de São Paulo (PUC). Além de participarem como pesquisadores no projeto, eram alunos do Mestrado Profissional em Ensino de Matemática e lecionavam no Ensino Médio em escolas públicas estaduais. A presente pesquisa acompanhou-os no decorrer de dois anos durante o processo em que elaboraram, aplicaram e analisaram situações de aprendizagem em conteúdos pertencentes à Geometria, que buscavam a construção da prova por parte de seus alunos, por meio da integração do software Cabri-Géomètre nas atividades. De acordo com a proposta do AProvaME, durante a participação neste projeto, eles estiveram inseridos em um contexto, no qual foram desenvolvidas práticas coletivas de reflexão, colaboração e investigação, além de outras relacionadas à experiência docente, como reflexões sobre a própria prática. Este estudo objetivou averiguar em que medida a participação destes professores no projeto promoveu transformações em concepções e práticas, e influenciou o seu desenvolvimento profissional. Para atingir tal objetivo, o referencial teórico articulou as teorias sobre o desenvolvimento profissional, a prova e o uso de recursos da informática em um contexto educacional. A metodologia de pesquisa localizou-se no âmbito da investigação qualitativa, usando o estudo de caso que, pôde ser caracterizado como analítico, considerando-se como casos múltiplos , os dois professores. Estes passaram por processos diferentes no decorrer de seus respectivos percursos inseridos no AProvaME, que ocorreram em parte devido às características pessoais, às experiências discente e docente anteriores e ao que cada um vivenciou no projeto, proporcionando indícios de desenvolvimento profissional diferenciados. Enquanto para um deles, a participação em uma prática de grupo reflexiva, colaborativa e investigativa mostrou-se catalisadora na promoção de mudanças em concepções e práticas, refletindo em seu desenvolvimento profissional, o outro não submetido a estas práticas de forma tão intensa, aliado a fatores pessoais, não conseguiu romper com concepções e práticas anteriores. Apesar disto, os resultados ainda sugerem que para ambos participar do projeto possibilitou a ampliação de seu conhecimento matemático em relação aos temas tratados; a sensibilização quanto às possibilidades de utilização dos computadores em atividades de ensino; e as dificuldades relacionadas com esta integração. Constatou-se ao final do AProvaME, a importância que atribuíram ao processo vivenciado, na medida em que passaram a valorizar as produções dos alunos, o raciocínio desenvolvido na elaboração da prova, ainda que, muitas vezes, estes não conseguissem atingir a formalização matemática esperada. Este estudo apresenta indícios de que a forma como projetos de pesquisa são conduzidos, inseridos em processos de formação continuada, nos quais ocorram práticas de grupo, como as de reflexão, colaboração e investigação, podem consistir em excelentes oportunidades de desenvolvimento profissional para os professores participantes. Contudo, fatores individuais e pessoais também podem interferir, pois nem sempre o grupo consegue beneficiar a todos os envolvidos. Este estudo procurou revelar caminhos para repensar-se processos de formação que possam resultar em desenvolvimento profissionalapplication/pdfhttp://tede2.pucsp.br/tede/retrieve/23727/Melanie%20Lerner%20Grinkraut.pdf.jpgporPontifícia Universidade Católica de São PauloPrograma de Estudos Pós-Graduados em Educação MatemáticaPUC-SPBREducaçãoDesenvolvimento profissionalArgumentação e provaAprendizagem em geometriaAProvaME (Projeto)Professores de matematica -- Formacao profissionalGeometria -- Estudo e ensinoCabri-geometre (Programa de computador)Professional developmentAProvaME ProjectArgumentation and proofLearning in geometryCabri-GéomètreCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAFormação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissionalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da PUC_SPinstname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPTEXTMelanie Lerner Grinkraut.pdf.txtMelanie Lerner Grinkraut.pdf.txtExtracted texttext/plain764875https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/3/Melanie%20Lerner%20Grinkraut.pdf.txte1df7846cbb5c61439b916d2939b9654MD53ORIGINALMelanie Lerner Grinkraut.pdfapplication/pdf4483294https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/1/Melanie%20Lerner%20Grinkraut.pdf498ebeb44b05124be4090304a7b550a5MD51THUMBNAILMelanie Lerner Grinkraut.pdf.jpgMelanie Lerner Grinkraut.pdf.jpgGenerated Thumbnailimage/jpeg1943https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/2/Melanie%20Lerner%20Grinkraut.pdf.jpgcc73c4c239a4c332d642ba1e7c7a9fb2MD52handle/114092022-04-28 06:39:24.254oai:repositorio.pucsp.br:handle/11409Biblioteca Digital de Teses e Dissertaçõeshttps://sapientia.pucsp.br/https://sapientia.pucsp.br/oai/requestbngkatende@pucsp.br||rapassi@pucsp.bropendoar:2022-04-28T09:39:24Biblioteca Digital de Teses e Dissertações da PUC_SP - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
dc.title.por.fl_str_mv |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
title |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
spellingShingle |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional Grinkraut, Melanie Lerner Desenvolvimento profissional Argumentação e prova Aprendizagem em geometria AProvaME (Projeto) Professores de matematica -- Formacao profissional Geometria -- Estudo e ensino Cabri-geometre (Programa de computador) Professional development AProvaME Project Argumentation and proof Learning in geometry Cabri-Géomètre CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
title_full |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
title_fullStr |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
title_full_unstemmed |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
title_sort |
Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional |
author |
Grinkraut, Melanie Lerner |
author_facet |
Grinkraut, Melanie Lerner |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Ag Almouloud, Saddo |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4796934Y9 |
dc.contributor.author.fl_str_mv |
Grinkraut, Melanie Lerner |
contributor_str_mv |
Ag Almouloud, Saddo |
dc.subject.por.fl_str_mv |
Desenvolvimento profissional Argumentação e prova Aprendizagem em geometria AProvaME (Projeto) Professores de matematica -- Formacao profissional Geometria -- Estudo e ensino Cabri-geometre (Programa de computador) |
topic |
Desenvolvimento profissional Argumentação e prova Aprendizagem em geometria AProvaME (Projeto) Professores de matematica -- Formacao profissional Geometria -- Estudo e ensino Cabri-geometre (Programa de computador) Professional development AProvaME Project Argumentation and proof Learning in geometry Cabri-Géomètre CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Professional development AProvaME Project Argumentation and proof Learning in geometry Cabri-Géomètre |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This present study looked into the professional development of two Mathematics teachers, as a result of their participation in a research project called AProvaME (Argumentation and Proof in Mathematics Education), carried out by Pontifícia Universidade Católica (PUC) of São Paulo. Besides participating as researchers in the project, these teachers were studying for their Professional Mathematics Education Master s degree and teaching in public high schools. The present research monitored their processes during two years, while they were developing, implementing and evaluating learning situations in Geometry, which searched for the proof construction from the students, by the integration of Cabri-Géomètre software in the activities. According to the AProvaME proposal, during their participation in the project, these teachers were involved in a context, where group practices, as reflection, collaboration and investigation, besides others related to teaching experience, as the reflection on their own practice, were developed. This study aimed to check to what extent the teacher s participation in this project, propitiated a change in their conceptions and practices, influencing their professional development. In order to reach this goal, the theoretical references articulated the theories about professional development, the proof and the use of technological resources in the educational environment. The research s methodology was focused in the qualitative investigation, using the case study, considered as analytic, investigating both teachers as multiple cases . These two teachers passed through different processes in their courses, while participating in the AProvaME, which occurred partly because their own personal characteristics, their experience as students and teachers and what they had lived in the project, leading to different evidences of professional development. To one of them, the participation in a group, where practices as reflection, collaboration and investigation were developed, turned to be catalyst to promote changing in conceptions and practices, reflecting in his professional development. The other one, who was not submitted to these practices in such a strong way, could not break with previous conceptions and practices. In spite of this, the results already suggest that to both teachers the participation in the project lead them to broaden their mathematical knowledge. They also became aware of the possibilities of computers use in the learning activities and the difficulties which involves this integration. In the end of the AProvaME, it was verified the importance given by the teachers to the experienced process, in a way that they started to take into account the students development mathematical skills, the reasoning involved in the proof process, even if many times the students were not able to reach the required mathematical formalization. This study presents indications that the way how researches projects are conducted, included in processes of continuity teacher s education programs, where occur group practices, such as reflection, collaboration and investigation, could establish excellent opportunities of professional development for the teachers that attended the project. However, individual and personal factors can also interfere, because the group does not always benefit to all the people involved. This study tried to reveal ways to rethink formative processes, which can result in professional development |
publishDate |
2009 |
dc.date.issued.fl_str_mv |
2009-08-13 |
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2010-01-15 |
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2016-04-27T16:58:57Z |
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Grinkraut, Melanie Lerner. Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional. 2009. 349 f. Tese (Doutorado em Educação) - Pontifícia Universidade Católica de São Paulo, São Paulo, 2009. |
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https://tede2.pucsp.br/handle/handle/11409 |
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Grinkraut, Melanie Lerner. Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional. 2009. 349 f. Tese (Doutorado em Educação) - Pontifícia Universidade Católica de São Paulo, São Paulo, 2009. |
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Educação |
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Pontifícia Universidade Católica de São Paulo |
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