Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais
Autor(a) principal: | |
---|---|
Data de Publicação: | 2023 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFRPE |
Texto Completo: | http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9440 |
Resumo: | This research aims at analyzing the Formulation and Resolution of Problems (FRP) about volume and capacity by students who graduated from High School, of a military training course, in the light of the Theory of Conceptual Fields. Among the contributions of this theory, we highlight the situations that give meaning to the concept of volume and capacity: measurement, comparison, and production, as well as the components of the schemes: goals and anticipations, action rules, and operational invariants related to these concepts. The question that guides this research is: What aspects to consider in the formulation and resolution of problems of the magnitudes volume and capacity, from the Theory of Conceptual Fields? We anchor the research in qualitative and quantitative methodologies. We had the participation of one hundred and eleven students of a military training school, located in the metropolitan region of Recife - PE. For the construction of data, six activities were proposed for the students to formulate and solve the problems formulated by the students, namely: from a figure; from a given problem, to create a similar one, from a given beginning, to continue the problem; from a question; from an answer and from a sentence. Data analysis allowed us to identify, among the results, that students had greater difficulty in FRP from a given beginning, to continue the problem, and less difficulty, in FRP from a given problem, to create a similar one. The FRP from a question was the one that presented more rules of action and similar operative invariants. In contrast, the one that presented the greatest dispersion was the FRP from a given beginning, to continue a problem. In general, the measurement situations using formulas and the transformation of measurement units were the most used in the problems formulated by the students, while the comparison and production situations were the least incidents. |
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ESPÍNDOLA, Elisângela Bastos de MeloLIMA, Anna Paula de Avellar BritoSOUZA, Cristiane Fernandes dehttp://lattes.cnpq.br/5467235575561229GAMA, Maria Solange dos Santos2023-10-31T13:18:41Z2023-06-26GAMA, Maria Solange dos Santos. Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais. 2023. 215 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife.http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9440This research aims at analyzing the Formulation and Resolution of Problems (FRP) about volume and capacity by students who graduated from High School, of a military training course, in the light of the Theory of Conceptual Fields. Among the contributions of this theory, we highlight the situations that give meaning to the concept of volume and capacity: measurement, comparison, and production, as well as the components of the schemes: goals and anticipations, action rules, and operational invariants related to these concepts. The question that guides this research is: What aspects to consider in the formulation and resolution of problems of the magnitudes volume and capacity, from the Theory of Conceptual Fields? We anchor the research in qualitative and quantitative methodologies. We had the participation of one hundred and eleven students of a military training school, located in the metropolitan region of Recife - PE. For the construction of data, six activities were proposed for the students to formulate and solve the problems formulated by the students, namely: from a figure; from a given problem, to create a similar one, from a given beginning, to continue the problem; from a question; from an answer and from a sentence. Data analysis allowed us to identify, among the results, that students had greater difficulty in FRP from a given beginning, to continue the problem, and less difficulty, in FRP from a given problem, to create a similar one. The FRP from a question was the one that presented more rules of action and similar operative invariants. In contrast, the one that presented the greatest dispersion was the FRP from a given beginning, to continue a problem. In general, the measurement situations using formulas and the transformation of measurement units were the most used in the problems formulated by the students, while the comparison and production situations were the least incidents.A presente pesquisa tem como objetivo analisar a Formulação e Resolução de Problemas (FRP) sobre volume e capacidade por alunos egressos do Ensino Médio, de um curso de formação militar, à luz da Teoria dos Campos Conceituais. Dentre os aportes desta teoria, destacamos as situações que dão sentido ao conceito de volume e capacidade: medição, comparação e produção, bem como os componentes dos esquemas: as metas e antecipações, as regras de ação e os invariantes operatórios relacionados a esses conceitos. A questão que orienta esta pesquisa é: Quais aspectos considerar na formulação e resolução de problemas das grandezas volume e capacidade, a partir da Teoria dos Campos Conceituais? Ancoramos a pesquisa nas abordagens qualitativa e quantitativa. Contamos com a participação de cento e onze estudantes de uma escola de formação militar, localizada na região metropolitana do Recife - PE. Para a construção de dados, foram propostas seis atividades para que os alunos formulassem e resolvessem os problemas por eles formulados, a saber: a partir de uma figura; de um problema dado, criar um parecido; de um início dado continuar o problema; de uma pergunta; de uma resposta e a partir de uma sentença. A análise dos dados permitiu identificar, dentre os resultados, que os alunos apresentaram maior dificuldade na FRP a partir de um início dado, continuar o problema, e menor dificuldade, na FRP a partir de um problema dado, criar um parecido. A FRP a partir de uma pergunta foi aquela que apresentou mais regras de ação e invariantes operatórios similares, enquanto a que apresentou uma maior dispersão foi a FRP a partir de um início dado, continuar um problema. De modo geral, as situações de medição com o uso de fórmulas e de transformação de unidades de medidas foram as mais utilizadas nos problemas formulados pelos alunos, enquanto as situações de comparação e produção foram as menos incidentes.Submitted by (ana.araujo@ufrpe.br) on 2023-10-31T13:18:41Z No. of bitstreams: 1 Maria Solange dos Santos Gama.pdf: 4139420 bytes, checksum: 93b94d1951de2831a0f4ff8200420613 (MD5)Made available in DSpace on 2023-10-31T13:18:41Z (GMT). No. of bitstreams: 1 Maria Solange dos Santos Gama.pdf: 4139420 bytes, checksum: 93b94d1951de2831a0f4ff8200420613 (MD5) Previous issue date: 2023-06-26application/pdfporUniversidade Federal Rural de PernambucoPrograma de Pós-Graduação em Ensino das CiênciasUFRPEBrasilDepartamento de EducaçãoEnsino de matemáticaResolução de problemasTeoria dos campos conceituaisCIENCIAS HUMANAS::EDUCACAOFormulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituaisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-6099596823942813476006006007124334461228751377-240345818910352367info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFRPEinstname:Universidade Federal Rural de Pernambuco (UFRPE)instacron:UFRPEORIGINALMaria Solange dos Santos Gama.pdfMaria Solange dos Santos Gama.pdfapplication/pdf4139420http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9440/2/Maria+Solange+dos+Santos+Gama.pdf93b94d1951de2831a0f4ff8200420613MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82165http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9440/1/license.txtbd3efa91386c1718a7f26a329fdcb468MD51tede2/94402024-02-23 12:19:27.842oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttp://www.tede2.ufrpe.br:8080/tede/PUBhttp://www.tede2.ufrpe.br:8080/oai/requestbdtd@ufrpe.br ||bdtd@ufrpe.bropendoar:2024-02-23T15:19:27Biblioteca Digital de Teses e Dissertações da UFRPE - Universidade Federal Rural de Pernambuco (UFRPE)false |
dc.title.por.fl_str_mv |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
title |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
spellingShingle |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais GAMA, Maria Solange dos Santos Ensino de matemática Resolução de problemas Teoria dos campos conceituais CIENCIAS HUMANAS::EDUCACAO |
title_short |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
title_full |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
title_fullStr |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
title_full_unstemmed |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
title_sort |
Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais |
author |
GAMA, Maria Solange dos Santos |
author_facet |
GAMA, Maria Solange dos Santos |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
ESPÍNDOLA, Elisângela Bastos de Melo |
dc.contributor.referee1.fl_str_mv |
LIMA, Anna Paula de Avellar Brito |
dc.contributor.referee2.fl_str_mv |
SOUZA, Cristiane Fernandes de |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/5467235575561229 |
dc.contributor.author.fl_str_mv |
GAMA, Maria Solange dos Santos |
contributor_str_mv |
ESPÍNDOLA, Elisângela Bastos de Melo LIMA, Anna Paula de Avellar Brito SOUZA, Cristiane Fernandes de |
dc.subject.por.fl_str_mv |
Ensino de matemática Resolução de problemas Teoria dos campos conceituais |
topic |
Ensino de matemática Resolução de problemas Teoria dos campos conceituais CIENCIAS HUMANAS::EDUCACAO |
dc.subject.cnpq.fl_str_mv |
CIENCIAS HUMANAS::EDUCACAO |
description |
This research aims at analyzing the Formulation and Resolution of Problems (FRP) about volume and capacity by students who graduated from High School, of a military training course, in the light of the Theory of Conceptual Fields. Among the contributions of this theory, we highlight the situations that give meaning to the concept of volume and capacity: measurement, comparison, and production, as well as the components of the schemes: goals and anticipations, action rules, and operational invariants related to these concepts. The question that guides this research is: What aspects to consider in the formulation and resolution of problems of the magnitudes volume and capacity, from the Theory of Conceptual Fields? We anchor the research in qualitative and quantitative methodologies. We had the participation of one hundred and eleven students of a military training school, located in the metropolitan region of Recife - PE. For the construction of data, six activities were proposed for the students to formulate and solve the problems formulated by the students, namely: from a figure; from a given problem, to create a similar one, from a given beginning, to continue the problem; from a question; from an answer and from a sentence. Data analysis allowed us to identify, among the results, that students had greater difficulty in FRP from a given beginning, to continue the problem, and less difficulty, in FRP from a given problem, to create a similar one. The FRP from a question was the one that presented more rules of action and similar operative invariants. In contrast, the one that presented the greatest dispersion was the FRP from a given beginning, to continue a problem. In general, the measurement situations using formulas and the transformation of measurement units were the most used in the problems formulated by the students, while the comparison and production situations were the least incidents. |
publishDate |
2023 |
dc.date.accessioned.fl_str_mv |
2023-10-31T13:18:41Z |
dc.date.issued.fl_str_mv |
2023-06-26 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
GAMA, Maria Solange dos Santos. Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais. 2023. 215 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife. |
dc.identifier.uri.fl_str_mv |
http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9440 |
identifier_str_mv |
GAMA, Maria Solange dos Santos. Formulação e resolução de problemas sobre volume e capacidade à luz da Teoria dos Campos Conceituais. 2023. 215 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife. |
url |
http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9440 |
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por |
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por |
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openAccess |
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Universidade Federal Rural de Pernambuco |
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Universidade Federal Rural de Pernambuco |
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