The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures A Teoria dos Subconstrutos e o Número Racional como Operador: das estruturas algébricas às cognitivas

dc.creator	Plínio Cavalcanti Moreira
dc.creator	Maria Cristina Costa Ferreira
dc.date	2008-12-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:07:49Z
dc.date.available	2015-07-20T22:07:49Z
dc.identifier	0103-636X
dc.identifier	1980-4415
dc.identifier	https://doaj.org/article/f2992a13b3a2490e89b60cf0908c3e1c
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/11520
dc.identifier.uri	https://doaj.org/article/f2992a13b3a2490e89b60cf0908c3e1c
dc.description	We present a literature review on the role of the operator subconstruct in the learning of rational numbers. We chose to focus on this subconstruct because it is related to the operation of multiplication, which places it in a position of importance when one considers the development of so-called multiplicative reasoning. We reviewed the literature seeking to make explicit perspectives in which the role of this interpretation of rational number is considered important in the school curriculum, and to describe empirical research findings and theoretical reflections related to work with this subconstruct in school. We finish by presenting some issues that we believe deserve additional attention. The objective is to present a synthesis of the literature on this specific topic, offering support that may contribute to teachers’ construction of a professional view regarding rational numbers. Key-words: Mathematics Education. Rational Numbers. Subconstructs. Operator.<br>Neste trabalho focalizamos o papel do subconstruto operador na aprendizagem escolar dos números racionais, revisando a literatura especializada sobre o tema. A escolha desse subconstruto deve-se ao fato de que é vinculado à operação de multiplicação, o que o coloca em posição de destaque quando se pensa no desenvolvimento do chamado raciocínio multiplicativo. Revisamos a literatura, procurando explicitar perspectivas a partir das quais o papel dessa interpretação do número racional é considerado importante no currículo escolar, assim como descrever resultados de pesquisas empíricas e reflexões teóricas relacionadas com o trabalho escolar com esse subconstruto. Finalizamos apresentando algumas questões que, a nosso ver, ainda merecem atenção. O objetivo do texto é apresentar uma síntese da literatura relacionada com este tópico específico, oferecendo aportes que podem ser relevantes para a construção de uma visão profissional docente a respeito dos números racionais. Palavras-chave: Educação Matemática. Números Racionais. Subconstrutos. Operador.
dc.language	Portuguese
dc.language	English
dc.publisher	UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
dc.relation	http://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107
dc.relation	https://doaj.org/toc/0103-636X
dc.relation	https://doaj.org/toc/1980-4415
dc.rights	CC BY-NC-ND
dc.source	Bolema : Boletim de Educação Matemática, Vol 21, Iss 31 (2008)
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	DOAJ:Mathematics
dc.subject	DOAJ:Mathematics and Statistics
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	DOAJ:Mathematics
dc.subject	DOAJ:Mathematics and Statistics
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.title	The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures A Teoria dos Subconstrutos e o Número Racional como Operador: das estruturas algébricas às cognitivas
dc.type	Article