Razonamiento y Estrategias en la Transición a la Generalización en un Problema de Combinatoria (Reasoning and Strategies in the Transition to Generalization in a Combinatorial Problem)

dc.creator	Lourdes Figueiras
dc.creator	María C. Cañadas
dc.date	2010-01-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:30:43Z
dc.date.available	2015-07-20T22:30:43Z
dc.identifier	1886-1350
dc.identifier	1887-3987
dc.identifier	https://doaj.org/article/ad952a7fe4c74f83a85378bf55fb7122
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/22328
dc.description	Describimos el proceso seguido por estudiantes de 11 y 12 años para descubrir patrones de conteo en un problema básico de combinatoria. Hacemos énfasis en la transición de las estrategias manipulativas para el conteo directo a la generalización. En esta transición hubo estudiantes que utilizaron, de forma espontánea, diagramas de árbol; y otros estudiantes que recurrieron a estrategias comunes en pensamiento numérico. Resaltamos el interés de resolver problemas de combinatoria sin haber aprendido fórmulas previas para que los estudiantes den significado a la regla del producto y relacionamos los resultados obtenidos con aspectos didácticos de la multiplicación en educación primaria.</p> <p>Reasoning and Strategies in the Transition to Generalization in a Combinatorial Problem We describe the procedure used by 11-12 years old students to discover counting patterns in basic combinatory problems. We emphasize the transition from manipulative strategies for direct counting to generalization. In this transition, there were students who spontaneously used tree diagrams of mathematical ideas and some students used numerical thinking strategies. We highlight the interest of solving combinatory problems in order to let the students make sense of the multiplication rule. We relate the results to the teaching of multiplication in primary school.
dc.language	Spanish
dc.language	English
dc.publisher	Pensamiento Numérico
dc.relation	http://www.pna.es/Numeros/Volumen4Numero2.html
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 4, Iss 2, Pp 73-83 (2010)
dc.subject	Combinatory
dc.subject	Generalization
dc.subject	Inductive reasoning
dc.subject	Manipulative strategies
dc.subject	Product rule
dc.subject	Tree diagram
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	Razonamiento y Estrategias en la Transición a la Generalización en un Problema de Combinatoria (Reasoning and Strategies in the Transition to Generalization in a Combinatorial Problem)
dc.type	article