As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
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/22327 |
Resumo: | The main theme of this thesis is Financial Education, whose main objective was to identify elements that could contribute to the development of the teaching and learning of students of a Mathematics Degree Programm in Financial Education, through the process that leads them to perceive, the close relationship that exists between the financial problems (personal or otherwise) and mathematics. To achieve this goal, we work in the light of the Anthropological Theory of the Dicdatic (TAD), identifying the Reason of Being related to the study of the loans and / or finance object finance, and later it was developed the Epistemological Model of Reference (MER), which under our view contemplates the needs, objectives, skills and abilities provided in the documents, parameters and official curricula related to the Brazilian High School. Then from documentary and bibliographic studies of official documents and textbooks, we have developed the Dominant Epistemological Model to, from such information, construct a sequence of three activities, which were elaborated through a Mathematical Modeling and Theory of Didactical Situation (TSD). The activities of the process were applied to nine volunteer students in the third semester of a Mathematics degree program from a private university located in the city of São Paulo, according to the Didactic Engineering methodology. With the construction of the models by students, which were guided only by the teacher / mediator, they realized that by means of mathematical and / or statistical tools, added to the use of technology, students could form mechanisms of analysis, price comparison and planning, interpreting in a critical way the results obtained, thereby facilitating decision-making in relation to the proposed problems. The context proposed to them was the purchase of a property, but the discussions observed allow us to infer that they understood that this process can be reproduced in several other contexts. We were able to observe that all groups involved were successful in constructing a model from the use of regression and correlation analysis, determination coefficient study, but, mainly, they could identify the need for model corrections according to the needs that emerged from the research carried out to collect the data used by the students. There were difficulties arising from lack or little mathematical knowledge but were healed by the teacher / mediator throughout local institutionalization. We believe that the results disclosed here, have brought a breakthrough in the teaching and learning for loans and / or financing in Financial Education, however, we would like to emphasize that the proposals presented here are not unique and we believe that there are other aspects that must be studied in the light of other theories and methods, always fostering a quality and meaningful education for our students |
id |
PUC_SP-1_243af8d502488738ff2358502fe9e662 |
---|---|
oai_identifier_str |
oai:repositorio.pucsp.br:handle/22327 |
network_acronym_str |
PUC_SP-1 |
network_name_str |
Biblioteca Digital de Teses e Dissertações da PUC_SP |
repository_id_str |
|
spelling |
Coutinho, Cileda de Queiroz e Silvahttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4427872P0Ferreira, Vagner Donizeti Tavares2019-06-27T12:02:29Z2019-03-14Ferreira, Vagner Donizeti Tavares. As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira. 2019. 242 f. Tese (Doutorado em Educação Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2019.https://tede2.pucsp.br/handle/handle/22327The main theme of this thesis is Financial Education, whose main objective was to identify elements that could contribute to the development of the teaching and learning of students of a Mathematics Degree Programm in Financial Education, through the process that leads them to perceive, the close relationship that exists between the financial problems (personal or otherwise) and mathematics. To achieve this goal, we work in the light of the Anthropological Theory of the Dicdatic (TAD), identifying the Reason of Being related to the study of the loans and / or finance object finance, and later it was developed the Epistemological Model of Reference (MER), which under our view contemplates the needs, objectives, skills and abilities provided in the documents, parameters and official curricula related to the Brazilian High School. Then from documentary and bibliographic studies of official documents and textbooks, we have developed the Dominant Epistemological Model to, from such information, construct a sequence of three activities, which were elaborated through a Mathematical Modeling and Theory of Didactical Situation (TSD). The activities of the process were applied to nine volunteer students in the third semester of a Mathematics degree program from a private university located in the city of São Paulo, according to the Didactic Engineering methodology. With the construction of the models by students, which were guided only by the teacher / mediator, they realized that by means of mathematical and / or statistical tools, added to the use of technology, students could form mechanisms of analysis, price comparison and planning, interpreting in a critical way the results obtained, thereby facilitating decision-making in relation to the proposed problems. The context proposed to them was the purchase of a property, but the discussions observed allow us to infer that they understood that this process can be reproduced in several other contexts. We were able to observe that all groups involved were successful in constructing a model from the use of regression and correlation analysis, determination coefficient study, but, mainly, they could identify the need for model corrections according to the needs that emerged from the research carried out to collect the data used by the students. There were difficulties arising from lack or little mathematical knowledge but were healed by the teacher / mediator throughout local institutionalization. We believe that the results disclosed here, have brought a breakthrough in the teaching and learning for loans and / or financing in Financial Education, however, we would like to emphasize that the proposals presented here are not unique and we believe that there are other aspects that must be studied in the light of other theories and methods, always fostering a quality and meaningful education for our studentsO tema central desta tese é a Educação Financeira, cujo objetivo principal, foi identificar elementos que poderiam contribuir para o desenvolvimento do ensino e da aprendizagem de estudantes de um curso de Licenciatura em Matemática no tocante à Educação Financeira, mediando o processo que os conduz a perceberem, a estreita relação que existe entre os problemas financeiros (pessoais ou não) e a Matemática. Para alcançarmos este objetivo, trabalhamos à luz da Teoria Antropológico do Didático (TAD), identificando a Razão de Ser relacionado ao estudo do objeto empréstimos e ou financiamentos e, posteriormente foi construído um Modelo Epistemológico de Referência (MER), que sob a nossa ótica contempla as necessidades, objetivos, competências e habilidades previstas nos documentos, parâmetros e bases curriculares oficiais relacionados ao Ensino Médio brasileiro. Em seguida, a partir de estudos documentais e bibliográficos de documentos oficiais e Livros Didáticos construímos um Modelo Epistemológico Dominante para, a partir de tais informações, construirmos uma sequência de três atividades, elaboradas por meio de uma articulação entre a Modelagem Matemática e a Teoria da Situações Didáticas (TSD). As atividades do processo de modelagem foram aplicadas à nove estudantes voluntários do terceiro semestre de um curso de Licenciatura em Matemática de uma universidade particular localizada na cidade de São Paulo, segundo a metodologia da Engenharia Didática. Com a construção dos modelos pelos alunos, apenas orientados pelo professor/mediador, os estudantes perceberam que por meio de ferramentas matemática e/ou estatísticas, agregadas ao uso de tecnologia, poderiam formar mecanismos de análise, comparação de preços e planejamento, interpretando de forma crítica os resultados obtidos, facilitando assim, uma tomada de decisão em relação aos problemas propostos. O contexto proposto a eles foi o da compra de um imóvel, mas as discussões observadas nos permitem inferir que eles compreenderam que esse processo pode ser reproduzido em diversos outros contextos. Pudemos observar que todos os grupos envolvidos tiveram sucesso em construir um modelo a partir do uso da análise de regressão e correlação, estudo do coeficiente de determinação, mas, principalmente, puderam identificar a necessidade das correções do modelo de acordo com as necessidades que emergiam das pesquisas realizadas para coleta dos dados utilizados pelos alunos. Existiram dificuldades oriundas da falta ou pouco conhecimento matemático, mas que foram sanados pelo professor/mediador ao longo das institucionalizações locais. Acreditamos que os resultados aqui divulgados, trouxeram um avanço para os processos de ensino e aprendizagem para empréstimos e ou financiamentos no tocante da Educação Financeira, porém, gostaríamos de ressaltar que as propostas aqui apresentadas, não são únicas e, acreditamos que há outras vertentes que devem ser estudadas sobre a luz de outras teorias e métodos, sempre fomentando uma educação de qualidade e significativa aos nossos estudantesCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://tede2.pucsp.br/tede/retrieve/49534/Vagner%20Donizeti%20Tavares%20Ferreira.pdf.jpgporPontifícia Universidade Católica de São PauloPrograma de Estudos Pós-Graduados em Educação MatemáticaPUC-SPBrasilFaculdade de Ciências Exatas e TecnologiaEducação FinanceiraModelo Epistemológico de Referência (MER)Modelos matemáticosMatemática - Estudo e ensinoFinancial literacyEpistemological Model of Reference (MER)Mathematical modelsMathematics - Study and teachingCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAAs contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeirainfo: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_SPTEXTVagner Donizeti Tavares Ferreira.pdf.txtVagner Donizeti Tavares Ferreira.pdf.txtExtracted texttext/plain475710https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/4/Vagner%20Donizeti%20Tavares%20Ferreira.pdf.txt9e6c75f61bfa1da3fec6f67aec1e3cb2MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-82165https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/1/license.txtbd3efa91386c1718a7f26a329fdcb468MD51ORIGINALVagner Donizeti Tavares Ferreira.pdfVagner Donizeti Tavares Ferreira.pdfapplication/pdf4159736https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/2/Vagner%20Donizeti%20Tavares%20Ferreira.pdf3a0f6d30f98a69591a16ea17d2abb26aMD52THUMBNAILVagner Donizeti Tavares Ferreira.pdf.jpgVagner Donizeti Tavares Ferreira.pdf.jpgGenerated Thumbnailimage/jpeg1943https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/3/Vagner%20Donizeti%20Tavares%20Ferreira.pdf.jpgcc73c4c239a4c332d642ba1e7c7a9fb2MD53handle/223272022-04-28 09:40:12.684oai:repositorio.pucsp.br: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Biblioteca Digital de Teses e Dissertaçõeshttps://sapientia.pucsp.br/https://sapientia.pucsp.br/oai/requestbngkatende@pucsp.br||rapassi@pucsp.bropendoar:2022-04-28T12:40:12Biblioteca Digital de Teses e Dissertações da PUC_SP - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
dc.title.por.fl_str_mv |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
title |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
spellingShingle |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira Ferreira, Vagner Donizeti Tavares Educação Financeira Modelo Epistemológico de Referência (MER) Modelos matemáticos Matemática - Estudo e ensino Financial literacy Epistemological Model of Reference (MER) Mathematical models Mathematics - Study and teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
title_full |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
title_fullStr |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
title_full_unstemmed |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
title_sort |
As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira |
author |
Ferreira, Vagner Donizeti Tavares |
author_facet |
Ferreira, Vagner Donizeti Tavares |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Coutinho, Cileda de Queiroz e Silva |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4427872P0 |
dc.contributor.author.fl_str_mv |
Ferreira, Vagner Donizeti Tavares |
contributor_str_mv |
Coutinho, Cileda de Queiroz e Silva |
dc.subject.por.fl_str_mv |
Educação Financeira Modelo Epistemológico de Referência (MER) Modelos matemáticos |
topic |
Educação Financeira Modelo Epistemológico de Referência (MER) Modelos matemáticos Matemática - Estudo e ensino Financial literacy Epistemological Model of Reference (MER) Mathematical models Mathematics - Study and teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Matemática - Estudo e ensino Financial literacy Epistemological Model of Reference (MER) Mathematical models Mathematics - Study and teaching |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
The main theme of this thesis is Financial Education, whose main objective was to identify elements that could contribute to the development of the teaching and learning of students of a Mathematics Degree Programm in Financial Education, through the process that leads them to perceive, the close relationship that exists between the financial problems (personal or otherwise) and mathematics. To achieve this goal, we work in the light of the Anthropological Theory of the Dicdatic (TAD), identifying the Reason of Being related to the study of the loans and / or finance object finance, and later it was developed the Epistemological Model of Reference (MER), which under our view contemplates the needs, objectives, skills and abilities provided in the documents, parameters and official curricula related to the Brazilian High School. Then from documentary and bibliographic studies of official documents and textbooks, we have developed the Dominant Epistemological Model to, from such information, construct a sequence of three activities, which were elaborated through a Mathematical Modeling and Theory of Didactical Situation (TSD). The activities of the process were applied to nine volunteer students in the third semester of a Mathematics degree program from a private university located in the city of São Paulo, according to the Didactic Engineering methodology. With the construction of the models by students, which were guided only by the teacher / mediator, they realized that by means of mathematical and / or statistical tools, added to the use of technology, students could form mechanisms of analysis, price comparison and planning, interpreting in a critical way the results obtained, thereby facilitating decision-making in relation to the proposed problems. The context proposed to them was the purchase of a property, but the discussions observed allow us to infer that they understood that this process can be reproduced in several other contexts. We were able to observe that all groups involved were successful in constructing a model from the use of regression and correlation analysis, determination coefficient study, but, mainly, they could identify the need for model corrections according to the needs that emerged from the research carried out to collect the data used by the students. There were difficulties arising from lack or little mathematical knowledge but were healed by the teacher / mediator throughout local institutionalization. We believe that the results disclosed here, have brought a breakthrough in the teaching and learning for loans and / or financing in Financial Education, however, we would like to emphasize that the proposals presented here are not unique and we believe that there are other aspects that must be studied in the light of other theories and methods, always fostering a quality and meaningful education for our students |
publishDate |
2019 |
dc.date.accessioned.fl_str_mv |
2019-06-27T12:02:29Z |
dc.date.issued.fl_str_mv |
2019-03-14 |
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 |
Ferreira, Vagner Donizeti Tavares. As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira. 2019. 242 f. Tese (Doutorado em Educação Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2019. |
dc.identifier.uri.fl_str_mv |
https://tede2.pucsp.br/handle/handle/22327 |
identifier_str_mv |
Ferreira, Vagner Donizeti Tavares. As contribuições de uma sequência didática elaborada à luz do Modelo Epistemológico de Referência (MER), na construção dos conhecimentos relativos à educação financeira. 2019. 242 f. Tese (Doutorado em Educação Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2019. |
url |
https://tede2.pucsp.br/handle/handle/22327 |
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 |
Brasil |
dc.publisher.department.fl_str_mv |
Faculdade de Ciências Exatas e Tecnologia |
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/22327/4/Vagner%20Donizeti%20Tavares%20Ferreira.pdf.txt https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/1/license.txt https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/2/Vagner%20Donizeti%20Tavares%20Ferreira.pdf https://repositorio.pucsp.br/xmlui/bitstream/handle/22327/3/Vagner%20Donizeti%20Tavares%20Ferreira.pdf.jpg |
bitstream.checksum.fl_str_mv |
9e6c75f61bfa1da3fec6f67aec1e3cb2 bd3efa91386c1718a7f26a329fdcb468 3a0f6d30f98a69591a16ea17d2abb26a cc73c4c239a4c332d642ba1e7c7a9fb2 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 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_ |
1809277876863762432 |