A teaching proposal for the study of Eigenvectors and Eigenvalues

María José Beltrán Meneu, Marina Murillo Arcila, Enrique Jordá Mora

Abstract


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.


Keywords


undergraduate mathematics education, linear algebra, eigenvectors and eigenvalues, moments of inertia, GeoGebra

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DOI: http://dx.doi.org/10.3926/jotse.260


Licencia de Creative Commons 

This work is licensed under a Creative Commons Attribution 4.0 International License

Journal of Technology and Science Education, 2011-2017

Online ISSN: 2013-6374; Print ISSN: 2014-5349; DL: B-2000-2012

Publisher: OmniaScience