%0 Journal Article 
%A Beltrán-Meneu, María Jose
%A Murillo Arcila, Marina
%A Jordá, Enrique
%T A teaching proposal for the study of Eigenvectors and Eigenvalues
%D 2017
%@ 2013-6374
%U http://hdl.handle.net/10498/35620
%X 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.
%K Undergraduate mathematics education
%K Linear algebra
%K Eigenvectors and eigenvalues
%K Moments of inertia
%K GeoGebra
%~ Universidad de Cádiz