Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation
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Data de Publicação: | 2009 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Bolema: Boletim de Educação Matemática |
Texto Completo: | https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300 |
Resumo: | The teaching of plane geometry in elementary school is often lacking in meaning. Teachers choose teaching practices based on algorithms, without concern for the thinking processes involved in the construction of geometric thinking. This study is based on Genetic Epistemology to investigate how adolescents and adults who attended school, and were successful in learning geometry, construct explanations about problems involving the calculation of the area and the perimeter of plane figures. The data show that the interviewees are capable of doing the calculation with the algorithm, but very few show elaborated explanations. The explanatory models are the most varied, ranging from thinking based solely on perception to logical-mathematical explanations of the concepts involved. Keywords: Teaching of Geometry. Explanatory Models. Jean Piaget. Genetic Epistemology. |
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Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanationAs Relações entre Área e Perímetro na Geometria Plana: o papel dos observáveis e das regulações na construção da explicaçãoEnsino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética.The teaching of plane geometry in elementary school is often lacking in meaning. Teachers choose teaching practices based on algorithms, without concern for the thinking processes involved in the construction of geometric thinking. This study is based on Genetic Epistemology to investigate how adolescents and adults who attended school, and were successful in learning geometry, construct explanations about problems involving the calculation of the area and the perimeter of plane figures. The data show that the interviewees are capable of doing the calculation with the algorithm, but very few show elaborated explanations. The explanatory models are the most varied, ranging from thinking based solely on perception to logical-mathematical explanations of the concepts involved. Keywords: Teaching of Geometry. Explanatory Models. Jean Piaget. Genetic Epistemology.O ensino da geometria plana nas séries finais do Ensino Fundamental é, muitas vezes, desprovido de sentido. Os professores optam por práticas pedagógicas que se fundamentam em algoritmos, sem preocuparem-se com os processos de pensamento que estão envolvidos na construção do pensamento geométrico. Essa pesquisa vale-se da Epistemologia Genética para investigar como adolescentes e adultos, que freqüentaram a escola e obtiveram êxito na aprendizagem de geometria, elaboram explicações a propósito de problemas que envolvem o cálculo da área e do perímetro de figuras planas. Os dados indicam que a totalidade dos entrevistados é capaz de realizar o cálculo através do algoritmo, mas muito poucos apresentam explicações elaboradas. Os modelos explicativos são os mais variados e dirigem-se de um pensamento baseado exclusivamente na percepção até a explicação lógico-matemática dos conceitos envolvidos. Palavras-chave: Ensino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética.UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas2009-12-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300Bolema: Boletim de Educação Matemática; v. 22 n. 34 (2009); 81-1041980-44150103-636Xreponame:Bolema: Boletim de Educação Matemáticainstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300/2789Silva, João Alberto dainfo:eu-repo/semantics/openAccess2015-09-24T00:54:10Zoai:periodicos.rc.biblioteca.unesp.br:article/3300Revistahttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/PUBhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/oaibolema.contato@gmail.com||romiarka@gmail.com1980-44150103-636Xopendoar:2015-09-24T00:54:10Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation As Relações entre Área e Perímetro na Geometria Plana: o papel dos observáveis e das regulações na construção da explicação |
title |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
spellingShingle |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation Silva, João Alberto da Ensino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética. |
title_short |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
title_full |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
title_fullStr |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
title_full_unstemmed |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
title_sort |
Relations between Area and Perimeter in Plane Geometry: the role of observables and regulations in the construction of explanation |
author |
Silva, João Alberto da |
author_facet |
Silva, João Alberto da |
author_role |
author |
dc.contributor.author.fl_str_mv |
Silva, João Alberto da |
dc.subject.por.fl_str_mv |
Ensino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética. |
topic |
Ensino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética. |
description |
The teaching of plane geometry in elementary school is often lacking in meaning. Teachers choose teaching practices based on algorithms, without concern for the thinking processes involved in the construction of geometric thinking. This study is based on Genetic Epistemology to investigate how adolescents and adults who attended school, and were successful in learning geometry, construct explanations about problems involving the calculation of the area and the perimeter of plane figures. The data show that the interviewees are capable of doing the calculation with the algorithm, but very few show elaborated explanations. The explanatory models are the most varied, ranging from thinking based solely on perception to logical-mathematical explanations of the concepts involved. Keywords: Teaching of Geometry. Explanatory Models. Jean Piaget. Genetic Epistemology. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-12-21 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300 |
url |
https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3300/2789 |
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 |
UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas |
publisher.none.fl_str_mv |
UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas |
dc.source.none.fl_str_mv |
Bolema: Boletim de Educação Matemática; v. 22 n. 34 (2009); 81-104 1980-4415 0103-636X reponame:Bolema: Boletim de Educação Matemática instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Bolema: Boletim de Educação Matemática |
collection |
Bolema: Boletim de Educação Matemática |
repository.name.fl_str_mv |
Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
bolema.contato@gmail.com||romiarka@gmail.com |
_version_ |
1800215873584103424 |