Approaching the Distributive Law with Young Pupils (Aproximación a la Propiedad Distributiva con Estudiantes Jóvenes)

dc.creator	Nicolina A. Malara
dc.creator	Giancarlo Navarra
dc.date	2009-01-01T00:00:00Z
dc.date.accessioned	2015-08-12T11:31:38Z
dc.date.available	2015-08-12T11:31:38Z
dc.identifier	1886-1350
dc.identifier	1887-3987
dc.identifier	https://doaj.org/article/8186de77fed54b93b5b748bf8769c7b5
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/31101
dc.description	This paper contributes to the research strand concerning early algebra and focuses on the distributive law. It reports on a study involving pupils aged 8 to 10, engaging in the solution of purposefully designed problem situations. These situations are organized to favor specifying the students’ solutions and to motivate a collective comparison of the arithmetic expressions that codify the solution processes. The study focuses on ways in which perception leads to different mental images that influence the choice of either the (a + b) x c or (a x c) + (b x c) the representation. It highlights that understanding these dynamics is a fundamental step for a meaningful learning of the property. </p> <p>Este artículo contribuye a la rama de investigación relativa al early algebra y se centra en la propiedad distributiva. Describimos un estudio que involucra estudiantes de 8 a 10 años, implicados en la resolución de problemas. Estos problemas se han organizado para favorecer un enunciado explícito de las soluciones propuestas por los alumnos y motivar una comparación colectiva de expresiones aritméticas que codifican los procesos de resolución. El estudio se centra en las formas en las que la percepción da lugar a diferentes imágenes mentales que llevan a elegir la representación (a + b) x c o (a x c) + (b x c). La comprensión de esta dinámica es un paso fundamental para un aprendizaje significativo de la propiedad. </p>
dc.language	Spanish
dc.language	English
dc.publisher	Pensamiento Numérico
dc.relation	http://www.pna.es/Numeros/pdf/Malara2009Approaching.pdf
dc.relation	https://doaj.org/toc/1886-1350
dc.relation	https://doaj.org/toc/1887-3987
dc.rights	CC BY-NC-ND
dc.source	PNA, Vol 3, Iss 2, Pp 73-85 (2009)
dc.subject	Distributive law
dc.subject	Language representation of processes
dc.subject	Mental models
dc.subject	Perception
dc.subject	Education (General)
dc.subject	L7-991
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	Education (General)
dc.subject	L7-991
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	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Mathematics
dc.subject	QA1-939
dc.subject	Science
dc.subject	Q
dc.title	Approaching the Distributive Law with Young Pupils (Aproximación a la Propiedad Distributiva con Estudiantes Jóvenes)
dc.type	article