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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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
Visual Aids
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container_title Journal of technology and science education
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creator Beltrán Meneu, María José
Murillo Arcila, Marina
Jordá Mora, Enrique
description 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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source IngentaConnect Journals
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
Visual Aids
title A teaching proposal for the study of Eigenvectors and Eigenvalues
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