Reasoning by Contradiction in Dynamic Geometry (Razonamiento por contradicción en geometría dinámica)

dc.creator	Anna Baccaglini-Frank
dc.creator	Samuele Antonini
dc.creator	Allen Leung
dc.creator	Maria Alessandra Mariotti
dc.date	2013-01-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:15:30Z
dc.date.available	2015-07-20T22:15:30Z
dc.identifier	1886-1350
dc.identifier	1887-3987
dc.identifier	https://doaj.org/article/cb47c90e48024c41b0a49fc8c6310851
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/17694
dc.description	This paper addresses contributions that dynamic geometry systems (DGSs) may give in reasoning by contradiction in geometry. We present analyses of three excerpts of students’ work and use the notion of pseudo object, elaborated from previous research, to show some specificities of DGS in constructing proof by contradiction. In particular, we support the claim that a DGS can offer “guidance” in the solver’s development of an indirect argument thanks to the potential it offers of both constructing certain properties robustly, and of helping the solver perceive pseudo objects.</p><p>Este artículo aborda las contribuciones que los sistemas de geometría dinámica (DGSs) pueden dar al razonamiento por contradicción en geometría. Presentamos un análisis de tres extractos del trabajo de estudiantes y el uso de la noción de pseudo-objeto, elaborado a partir de investigaciones anteriores, para mostrar algunas especificidades del DGS en la construcción de pruebas por contradicción. En particular, afirmamos que un DGS puede orientar en el desarrollo de un argumento indirecto gracias a las posibilidades que ofrece tanto para construir sólidamente algunas propiedades como para ayudar a percibir los pseudo-objetos.
dc.language	Spanish
dc.language	English
dc.publisher	Pensamiento Numérico
dc.relation	http://www.pna.es/Numeros2/pdf/Baccaglini-Frank2012Reasoning.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 7, Iss 2, Pp 63-73 (2013)
dc.subject	Dynamic geometry
dc.subject	Indirect argument
dc.subject	Proof
dc.subject	Proof by contradiction
dc.subject	Pseudo object
dc.subject	Argumento indirecto
dc.subject	Geometría dinámica
dc.subject	Prueba
dc.subject	Prueba por contradicción
dc.subject	Pseudo-objeto
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	Reasoning by Contradiction in Dynamic Geometry (Razonamiento por contradicción en geometría dinámica)
dc.type	article