Revistes Catalanes amb Accés Obert (RACO)

A teaching proposal for the study of Eigenvectors and Eigenvalues

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


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

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