A teaching proposal for the study of Eigenvectors and Eigenvalues

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 o...

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Bibliographic Details
Published in:Journal of technology and science education 2017, Vol.7 (1), p.100-113
Main Authors: Beltrán Meneu, María José, Murillo Arcila, Marina, Jordá Mora, Enrique
Format: Article
Language:English
Subjects:
Algebra
Architectural Education
College Mathematics
Computer Software
Computer Uses in Education
eigenvectors and eigenvalues
GeoGebra
Geometry
linear algebra
Mathematical Applications
Mathematical Concepts
Mathematics Activities
Mathematics Instruction
moments of inertia
undergraduate mathematics education
undergraduate mathematics education, linear algebra, eigenvectors and eigenvalues, moments of inertia, GeoGebra
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Summary: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
ISSN:2014-5349
2013-6374
2013-6374
DOI:10.3926/jotse.260