Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico
Autor(a) principal: | |
---|---|
Data de Publicação: | 2020 |
Tipo de documento: | Tese |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFRPE |
Texto Completo: | http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9425 |
Resumo: | This thesis aimed to develop a theoretical framework for analyzing the interrelationships between didactic decisions and the didactic contract in the teaching of mathematical knowledge belonging to the algebraic field. For that, we anchored ourselves in the theoretical field of Didactic Decisions, a theory that presents the model of the levels of teacher activity, proposed in the literature by (MARGOLINAS, 2002). The second theoretical anchor adopted in this study was the Didactic Contract, due to its relevance in the Theory of Didactic Situations, allowing a look of fundamental importance for the teacher-student-knowledge triangulation in the classroom (BROUSSEAU, 1996). After proposing the theoretical scheme, we conducted an empirical study, with the aim of investigating the adequacy of the proposed model. As research subjects, we selected a teacher from the 8th grade of elementary school in a public school, and his students and, as mathematical knowledge, algebraic expressions and polynomials. The theoretical bases developed in the scheme proposed in this thesis were focused on the interactions that occurred specifically in the planning of classes, in the didactic situation and in the observation of the student in activity (Levels +1, 0 and -1). From the theoretical framework elaborated, the results found pointed out that the didactic decisions that were made in the planning (Level +1) were closely linked with the expectations related to the didactic contract. With regard to teaching practice (Level 0), through our theoretical analysis and with the reflections provided by the teacher and the transcripts of the observed classes, in the empirical analysis, we come to the conclusion that the didactic situations (S0), investigated from the school reality, they evidenced the coexistence and the interrelationship between the Didactic Decisions and the Didactic Contract. Another aspect revealed was that the decision factors, especially the didactic history type, are predominantly part of the interrelations of decision making and the didactic contract. The didactic microdecision of the teacher, when driven by factors of the didactic history type, maintains a close relationship with the didactic contract, since a relation of conformity between both was identified. |
id |
URPE_d393ce685619b8c6e55bdafd151eb465 |
---|---|
oai_identifier_str |
oai:tede2:tede2/9425 |
network_acronym_str |
URPE |
network_name_str |
Biblioteca Digital de Teses e Dissertações da UFRPE |
repository_id_str |
|
spelling |
LIMA, Anna Paula de Avelar BritoMENEZES, Marcus Bessa deESPÍNDOLA, Elisângela Bastos de MeloANDRADE, Vladimir Lira Veras Xavier deBITTAR, MarilenaALMEIDA, Fernando Emílio Leite dehttp://lattes.cnpq.br/9950704648394697SILVA, Tony Regy Ferreira da2023-10-26T21:59:49Z2020-12-16SILVA, Tony Regy Ferreira da. Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico. 2020. 206 f. Tese (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife.http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9425This thesis aimed to develop a theoretical framework for analyzing the interrelationships between didactic decisions and the didactic contract in the teaching of mathematical knowledge belonging to the algebraic field. For that, we anchored ourselves in the theoretical field of Didactic Decisions, a theory that presents the model of the levels of teacher activity, proposed in the literature by (MARGOLINAS, 2002). The second theoretical anchor adopted in this study was the Didactic Contract, due to its relevance in the Theory of Didactic Situations, allowing a look of fundamental importance for the teacher-student-knowledge triangulation in the classroom (BROUSSEAU, 1996). After proposing the theoretical scheme, we conducted an empirical study, with the aim of investigating the adequacy of the proposed model. As research subjects, we selected a teacher from the 8th grade of elementary school in a public school, and his students and, as mathematical knowledge, algebraic expressions and polynomials. The theoretical bases developed in the scheme proposed in this thesis were focused on the interactions that occurred specifically in the planning of classes, in the didactic situation and in the observation of the student in activity (Levels +1, 0 and -1). From the theoretical framework elaborated, the results found pointed out that the didactic decisions that were made in the planning (Level +1) were closely linked with the expectations related to the didactic contract. With regard to teaching practice (Level 0), through our theoretical analysis and with the reflections provided by the teacher and the transcripts of the observed classes, in the empirical analysis, we come to the conclusion that the didactic situations (S0), investigated from the school reality, they evidenced the coexistence and the interrelationship between the Didactic Decisions and the Didactic Contract. Another aspect revealed was that the decision factors, especially the didactic history type, are predominantly part of the interrelations of decision making and the didactic contract. The didactic microdecision of the teacher, when driven by factors of the didactic history type, maintains a close relationship with the didactic contract, since a relation of conformity between both was identified.Esta tese teve por objetivo desenvolver um esquema teórico para análise das inter-relações entre as decisões didáticas e o contrato didático no ensino de um saber matemático pertencente ao campo algébrico. Para tanto, ancoramo-nos no campo teórico das Decisões Didáticas, teoria que apresenta o modelo dos níveis da atividade do professor, proposto na literatura por (MARGOLINAS, 2002). A segunda ancoragem teórica adotada neste estudo foi o Contrato Didático, devido à sua relevância na Teoria das Situações Didáticas, possibilitando um olhar de fundamental importância para a triangulação professor-aluno-saber na sala de aula (BROUSSEAU, 1996). Após a proposição do esquema teórico, realizamos um estudo empírico, com o objetivo de investigar a adequação do modelo proposto. Selecionamos como sujeitos da pesquisa um professor do 8º ano do Ensino Fundamental de uma escola pública, e seus alunos e, como saber matemático, as expressões algébricas e os polinômios. As bases teóricas desenvolvidas no esquema proposto nesta tese ficaram voltadas para as interações que ocorreram especificamente no planejamento das aulas, na situação didática e na observação do aluno em atividade (Níveis +1, 0 e -1). A partir do esquema teórico elaborado, os resultados encontrados apontaram que as decisões didáticas que foram tomadas no planejamento (Nível +1) estiveram ligadas intimamente com as expectativas relacionadas ao contrato didático. No que diz respeito à prática de ensino (Nível 0), por meio da nossa análise teórica e com as reflexões disponibilizadas pelo professor e as transcrições das aulas observadas, na análise empírica, chegamos à conclusão de que as situações didáticas (S0), investigadas a partir da realidade escolar, evidenciaram a coexistência e a inter-relação entre as Decisões Didáticas e o Contrato Didático. Outro aspecto revelado foi que os fatores decisionais, em especial do tipo história didática, fazem parte de forma predominante nas inter-relações da tomada de decisão e o contrato didático. A microdecisão didática do professor, quando impulsionada por fatores do tipo história didática, mantém uma relação estreita com o contrato didático, uma vez que foi identificada uma relação de conformidade entre ambos.Submitted by (ana.araujo@ufrpe.br) on 2023-10-26T21:59:48Z No. of bitstreams: 1 Tony Regy Ferreira da Silva.pdf: 1510530 bytes, checksum: 3122fcf78557efd87e79888baa7e362c (MD5)Made available in DSpace on 2023-10-26T21:59:49Z (GMT). No. of bitstreams: 1 Tony Regy Ferreira da Silva.pdf: 1510530 bytes, checksum: 3122fcf78557efd87e79888baa7e362c (MD5) Previous issue date: 2020-12-16application/pdfporUniversidade Federal Rural de PernambucoPrograma de Pós-Graduação em Ensino das CiênciasUFRPEBrasilDepartamento de EducaçãoEnsino de matemáticaDidáticaContrato didáticoCIENCIAS HUMANAS::EDUCACAODecisões didáticas e contrato didático: interrelações no ensino de um saber algébricoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesis-6099596823942813476006006007124334461228751377-240345818910352367info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFRPEinstname:Universidade Federal Rural de Pernambuco (UFRPE)instacron:UFRPEORIGINALTony Regy Ferreira da Silva.pdfTony Regy Ferreira da Silva.pdfapplication/pdf1510530http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9425/2/Tony+Regy+Ferreira+da+Silva.pdf3122fcf78557efd87e79888baa7e362cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82165http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9425/1/license.txtbd3efa91386c1718a7f26a329fdcb468MD51tede2/94252023-10-26 18:59:49.475oai: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:2023-10-26T21:59:49Biblioteca Digital de Teses e Dissertações da UFRPE - Universidade Federal Rural de Pernambuco (UFRPE)false |
dc.title.por.fl_str_mv |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
title |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
spellingShingle |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico SILVA, Tony Regy Ferreira da Ensino de matemática Didática Contrato didático CIENCIAS HUMANAS::EDUCACAO |
title_short |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
title_full |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
title_fullStr |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
title_full_unstemmed |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
title_sort |
Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico |
author |
SILVA, Tony Regy Ferreira da |
author_facet |
SILVA, Tony Regy Ferreira da |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
LIMA, Anna Paula de Avelar Brito |
dc.contributor.advisor-co1.fl_str_mv |
MENEZES, Marcus Bessa de |
dc.contributor.referee1.fl_str_mv |
ESPÍNDOLA, Elisângela Bastos de Melo |
dc.contributor.referee2.fl_str_mv |
ANDRADE, Vladimir Lira Veras Xavier de |
dc.contributor.referee3.fl_str_mv |
BITTAR, Marilena |
dc.contributor.referee4.fl_str_mv |
ALMEIDA, Fernando Emílio Leite de |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/9950704648394697 |
dc.contributor.author.fl_str_mv |
SILVA, Tony Regy Ferreira da |
contributor_str_mv |
LIMA, Anna Paula de Avelar Brito MENEZES, Marcus Bessa de ESPÍNDOLA, Elisângela Bastos de Melo ANDRADE, Vladimir Lira Veras Xavier de BITTAR, Marilena ALMEIDA, Fernando Emílio Leite de |
dc.subject.por.fl_str_mv |
Ensino de matemática Didática Contrato didático |
topic |
Ensino de matemática Didática Contrato didático CIENCIAS HUMANAS::EDUCACAO |
dc.subject.cnpq.fl_str_mv |
CIENCIAS HUMANAS::EDUCACAO |
description |
This thesis aimed to develop a theoretical framework for analyzing the interrelationships between didactic decisions and the didactic contract in the teaching of mathematical knowledge belonging to the algebraic field. For that, we anchored ourselves in the theoretical field of Didactic Decisions, a theory that presents the model of the levels of teacher activity, proposed in the literature by (MARGOLINAS, 2002). The second theoretical anchor adopted in this study was the Didactic Contract, due to its relevance in the Theory of Didactic Situations, allowing a look of fundamental importance for the teacher-student-knowledge triangulation in the classroom (BROUSSEAU, 1996). After proposing the theoretical scheme, we conducted an empirical study, with the aim of investigating the adequacy of the proposed model. As research subjects, we selected a teacher from the 8th grade of elementary school in a public school, and his students and, as mathematical knowledge, algebraic expressions and polynomials. The theoretical bases developed in the scheme proposed in this thesis were focused on the interactions that occurred specifically in the planning of classes, in the didactic situation and in the observation of the student in activity (Levels +1, 0 and -1). From the theoretical framework elaborated, the results found pointed out that the didactic decisions that were made in the planning (Level +1) were closely linked with the expectations related to the didactic contract. With regard to teaching practice (Level 0), through our theoretical analysis and with the reflections provided by the teacher and the transcripts of the observed classes, in the empirical analysis, we come to the conclusion that the didactic situations (S0), investigated from the school reality, they evidenced the coexistence and the interrelationship between the Didactic Decisions and the Didactic Contract. Another aspect revealed was that the decision factors, especially the didactic history type, are predominantly part of the interrelations of decision making and the didactic contract. The didactic microdecision of the teacher, when driven by factors of the didactic history type, maintains a close relationship with the didactic contract, since a relation of conformity between both was identified. |
publishDate |
2020 |
dc.date.issued.fl_str_mv |
2020-12-16 |
dc.date.accessioned.fl_str_mv |
2023-10-26T21:59:49Z |
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 |
SILVA, Tony Regy Ferreira da. Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico. 2020. 206 f. Tese (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/tede2/9425 |
identifier_str_mv |
SILVA, Tony Regy Ferreira da. Decisões didáticas e contrato didático: interrelações no ensino de um saber algébrico. 2020. 206 f. Tese (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife. |
url |
http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/9425 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
-609959682394281347 |
dc.relation.confidence.fl_str_mv |
600 600 600 |
dc.relation.department.fl_str_mv |
7124334461228751377 |
dc.relation.cnpq.fl_str_mv |
-240345818910352367 |
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 |
Universidade Federal Rural de Pernambuco |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Ensino das Ciências |
dc.publisher.initials.fl_str_mv |
UFRPE |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Departamento de Educação |
publisher.none.fl_str_mv |
Universidade Federal Rural de Pernambuco |
dc.source.none.fl_str_mv |
reponame:Biblioteca Digital de Teses e Dissertações da UFRPE instname:Universidade Federal Rural de Pernambuco (UFRPE) instacron:UFRPE |
instname_str |
Universidade Federal Rural de Pernambuco (UFRPE) |
instacron_str |
UFRPE |
institution |
UFRPE |
reponame_str |
Biblioteca Digital de Teses e Dissertações da UFRPE |
collection |
Biblioteca Digital de Teses e Dissertações da UFRPE |
bitstream.url.fl_str_mv |
http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9425/2/Tony+Regy+Ferreira+da+Silva.pdf http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/9425/1/license.txt |
bitstream.checksum.fl_str_mv |
3122fcf78557efd87e79888baa7e362c bd3efa91386c1718a7f26a329fdcb468 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 |
repository.name.fl_str_mv |
Biblioteca Digital de Teses e Dissertações da UFRPE - Universidade Federal Rural de Pernambuco (UFRPE) |
repository.mail.fl_str_mv |
bdtd@ufrpe.br ||bdtd@ufrpe.br |
_version_ |
1800311510671556608 |