A teaching proposal for the study of Eigenvectors and Eigenvalues

• Autores: María José Beltrán Meneu, Marina Murillo Arcila , Enrique Jorda Mora
• Localización: JOTSE, ISSN-e 2013-6374, Vol. 7, Nº. 1, 2017, págs. 100-113
• Idioma: inglés
• DOI: 10.3926/jotse.260
• Enlaces
  • Texto completo (pdf)
• Dialnet Métricas: 2 Citas
• 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.