Formação de professores envolvendo a prova matemática: um olhar sobre o desenvolvimento profissional

Detalhes bibliográficos
Autor(a) principal: Grinkraut, Melanie Lerner
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
id PUC_SP-1_2e8fc8cc5b053e7006f5e26f0147738d
oai_identifier_str oai:repositorio.pucsp.br:handle/11409
network_acronym_str PUC_SP-1
network_name_str Biblioteca Digital de Teses e Dissertações da PUC_SP
repository_id_str
spelling 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
dc.date.available.fl_str_mv 2010-01-15
dc.date.accessioned.fl_str_mv 2016-04-27T16:58:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv 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.
dc.identifier.uri.fl_str_mv https://tede2.pucsp.br/handle/handle/11409
identifier_str_mv 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.
url https://tede2.pucsp.br/handle/handle/11409
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Pontifícia Universidade Católica de São Paulo
dc.publisher.program.fl_str_mv Programa de Estudos Pós-Graduados em Educação Matemática
dc.publisher.initials.fl_str_mv PUC-SP
dc.publisher.country.fl_str_mv BR
dc.publisher.department.fl_str_mv Educação
publisher.none.fl_str_mv Pontifícia Universidade Católica de São Paulo
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da PUC_SP
instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)
instacron:PUC_SP
instname_str Pontifícia Universidade Católica de São Paulo (PUC-SP)
instacron_str PUC_SP
institution PUC_SP
reponame_str Biblioteca Digital de Teses e Dissertações da PUC_SP
collection Biblioteca Digital de Teses e Dissertações da PUC_SP
bitstream.url.fl_str_mv https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/3/Melanie%20Lerner%20Grinkraut.pdf.txt
https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/1/Melanie%20Lerner%20Grinkraut.pdf
https://repositorio.pucsp.br/xmlui/bitstream/handle/11409/2/Melanie%20Lerner%20Grinkraut.pdf.jpg
bitstream.checksum.fl_str_mv e1df7846cbb5c61439b916d2939b9654
498ebeb44b05124be4090304a7b550a5
cc73c4c239a4c332d642ba1e7c7a9fb2
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da PUC_SP - Pontifícia Universidade Católica de São Paulo (PUC-SP)
repository.mail.fl_str_mv bngkatende@pucsp.br||rapassi@pucsp.br
_version_ 1809277989281595392