A teaching proposal for the study of Eigenvectors and Eigenvalues
- Beltrán Meneu, María José
- Murillo Arcila, Marina
- Jordá Mora, Enrique
ISSN: 2013-6374
Año de publicación: 2017
Volumen: 7
Número: 1
Páginas: 100-113
Tipo: Artículo
Otras publicaciones en: JOTSE
Resumen
In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. These concepts are introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was motivated after observing students’ difficulties when treating eigenvectors and eigenvalues from a geometric point of view. It was designed following a particular sequence of activities with the schema: exploration, introduction of concepts, structuring of knowledge and application, and considering the three worlds of mathematical thinking provided by Tall: embodied, symbolic and formal.
Información de financiación
The research of Mar?a Jos? Beltr?n-Meneu was partially supported by MINECO and FEDER Project EDU2015-69731-R and GVA, grupo de investigaci?n emergente GV/2016/129. The research of Enrique Jord? was partially supported by GVA, Project AICO/2016/054.Financiadores
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- AICO/2016/054
- Ministerio de EconomÃa y Competitividad Spain
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European Regional Development Fund
European Union
- GV/2016/129