The conception of algebra in Davydov’s proposition for teaching numbers
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Poiésis (Tubarão. Online) |
Texto Completo: | https://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/977 |
Resumo: | Historically, schooling has established the separation of arithmetic, algebra and geometry, which led movements that culminate in the unification: Mathematics. Nevertheless, curricular propositions do not reflect the interrelationship between these three fields. In this study, it’s been affiliated to Davydov and colleagues, in adopting the assumption that the teaching of mathematics, from the first school year, should bring the idea of the real number, from a study of quantities in the inter-relation between arithmetic, algebraic and geometric meanings. The research problem goes back to the conception of the algebra, in Davydov’s propositions for the introduction of teaching the concept of number. To do so, a dialogue is established with literature concerning the concept of algebra and davydovian proposition. In contemplating the general relationship between quantities, Davydov’s proposal brings components of the conception of algebra as the study of relationships between quantities that vary. |
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The conception of algebra in Davydov’s proposition for teaching numbersA concepção de álgebra na proposição de Davydov para o ensino de númeroConceptionAlgebraEducationDavydovNumberEducação MatemáticaConcepçãoÁlgebraEnsinoDavydovNúmeroHistorically, schooling has established the separation of arithmetic, algebra and geometry, which led movements that culminate in the unification: Mathematics. Nevertheless, curricular propositions do not reflect the interrelationship between these three fields. In this study, it’s been affiliated to Davydov and colleagues, in adopting the assumption that the teaching of mathematics, from the first school year, should bring the idea of the real number, from a study of quantities in the inter-relation between arithmetic, algebraic and geometric meanings. The research problem goes back to the conception of the algebra, in Davydov’s propositions for the introduction of teaching the concept of number. To do so, a dialogue is established with literature concerning the concept of algebra and davydovian proposition. In contemplating the general relationship between quantities, Davydov’s proposal brings components of the conception of algebra as the study of relationships between quantities that vary.Historicamente, a educação escolar estabeleceu a separação entre a aritmética, a álgebra e geometria, o que propiciou movimentos que culmina com a unificação: a Matemática. Porém, as proposições curriculares não traduzem a inter-relação entre esses três campos. O presente estudo afilia-se a Davydov e colaboradores ao adotar o pressuposto de que o ensino de matemática, desde o primeiro ano escolar, deve trazer a ideia de número real, a partir do estudo das grandezas na inter-relação entre as significações aritméticas, algébricas e geométricas. O problema de pesquisa volta-se para a concepção de álgebra nas proposições de Davydov para a introdução do ensino do conceito de número. Para tanto, estabelece-se um diálogo com a literatura referente à concepção de álgebra e a proposição davydoviana. Ao contemplar a relação geral entre as grandezas, Davydov traz componentes da concepção de álgebra como o estudo de relação entre grandezas que variam.Universidade do Sul de Santa Catarina2012-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/97710.19177/prppge.v5e92012280-299Poiésis - Revista do Programa de Pós-Graduação em Educação; v. 5 n. 9 (2012); 280-2992179-2534reponame:Poiésis (Tubarão. Online)instname:Universidade do Sul de Santa Catarina (UNISUL)instacron:UNISULporhttps://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/977/856Damázio (PPGE-UNESC), Dr. AdemirRosa (PPGE-Unisul), Drª. Josélia Euzébio daPereira (UNESC), Drª. Ledina LentzBanhar (UNESC), Drª. Elaine Vieirainfo:eu-repo/semantics/openAccess2016-07-18T14:09:25Zoai:portaldeperiodicos.animaeducacao.com.br:article/977Revistahttp://www.portaldeperiodicos.unisul.br/index.php/PoiesisPRIhttp://www.portaldeperiodicos.unisul.br/index.php/Poiesis/oai||revistapoiesis@unisul.br2179-25342179-2534opendoar:2016-07-18T14:09:25Poiésis (Tubarão. Online) - Universidade do Sul de Santa Catarina (UNISUL)false |
dc.title.none.fl_str_mv |
The conception of algebra in Davydov’s proposition for teaching numbers A concepção de álgebra na proposição de Davydov para o ensino de número |
title |
The conception of algebra in Davydov’s proposition for teaching numbers |
spellingShingle |
The conception of algebra in Davydov’s proposition for teaching numbers Damázio (PPGE-UNESC), Dr. Ademir Conception Algebra Education Davydov Number Educação Matemática Concepção Álgebra Ensino Davydov Número |
title_short |
The conception of algebra in Davydov’s proposition for teaching numbers |
title_full |
The conception of algebra in Davydov’s proposition for teaching numbers |
title_fullStr |
The conception of algebra in Davydov’s proposition for teaching numbers |
title_full_unstemmed |
The conception of algebra in Davydov’s proposition for teaching numbers |
title_sort |
The conception of algebra in Davydov’s proposition for teaching numbers |
author |
Damázio (PPGE-UNESC), Dr. Ademir |
author_facet |
Damázio (PPGE-UNESC), Dr. Ademir Rosa (PPGE-Unisul), Drª. Josélia Euzébio da Pereira (UNESC), Drª. Ledina Lentz Banhar (UNESC), Drª. Elaine Vieira |
author_role |
author |
author2 |
Rosa (PPGE-Unisul), Drª. Josélia Euzébio da Pereira (UNESC), Drª. Ledina Lentz Banhar (UNESC), Drª. Elaine Vieira |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Damázio (PPGE-UNESC), Dr. Ademir Rosa (PPGE-Unisul), Drª. Josélia Euzébio da Pereira (UNESC), Drª. Ledina Lentz Banhar (UNESC), Drª. Elaine Vieira |
dc.subject.por.fl_str_mv |
Conception Algebra Education Davydov Number Educação Matemática Concepção Álgebra Ensino Davydov Número |
topic |
Conception Algebra Education Davydov Number Educação Matemática Concepção Álgebra Ensino Davydov Número |
description |
Historically, schooling has established the separation of arithmetic, algebra and geometry, which led movements that culminate in the unification: Mathematics. Nevertheless, curricular propositions do not reflect the interrelationship between these three fields. In this study, it’s been affiliated to Davydov and colleagues, in adopting the assumption that the teaching of mathematics, from the first school year, should bring the idea of the real number, from a study of quantities in the inter-relation between arithmetic, algebraic and geometric meanings. The research problem goes back to the conception of the algebra, in Davydov’s propositions for the introduction of teaching the concept of number. To do so, a dialogue is established with literature concerning the concept of algebra and davydovian proposition. In contemplating the general relationship between quantities, Davydov’s proposal brings components of the conception of algebra as the study of relationships between quantities that vary. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-06-30 |
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://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/977 10.19177/prppge.v5e92012280-299 |
url |
https://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/977 |
identifier_str_mv |
10.19177/prppge.v5e92012280-299 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://portaldeperiodicos.animaeducacao.com.br/index.php/Poiesis/article/view/977/856 |
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 do Sul de Santa Catarina |
publisher.none.fl_str_mv |
Universidade do Sul de Santa Catarina |
dc.source.none.fl_str_mv |
Poiésis - Revista do Programa de Pós-Graduação em Educação; v. 5 n. 9 (2012); 280-299 2179-2534 reponame:Poiésis (Tubarão. Online) instname:Universidade do Sul de Santa Catarina (UNISUL) instacron:UNISUL |
instname_str |
Universidade do Sul de Santa Catarina (UNISUL) |
instacron_str |
UNISUL |
institution |
UNISUL |
reponame_str |
Poiésis (Tubarão. Online) |
collection |
Poiésis (Tubarão. Online) |
repository.name.fl_str_mv |
Poiésis (Tubarão. Online) - Universidade do Sul de Santa Catarina (UNISUL) |
repository.mail.fl_str_mv |
||revistapoiesis@unisul.br |
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1800218747000061952 |