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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Main Authors: María José Beltrán Meneu (Author), Marina Murillo Arcila (Author), Enrique Jordá Mora (Author)
Format: Book
Published: OmniaScience, 2017-03-01T00:00:00Z.
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Online Access:Connect to this object online.
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100 1 0 |a María José Beltrán Meneu  |e author 
700 1 0 |a Marina Murillo Arcila  |e author 
700 1 0 |a Enrique Jordá Mora  |e author 
245 0 0 |a A teaching proposal for the study of Eigenvectors and Eigenvalues 
260 |b OmniaScience,   |c 2017-03-01T00:00:00Z. 
500 |a 2013-6374 
500 |a 10.3926/jotse.260 
520 |a 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. 
546 |a EN 
690 |a undergraduate mathematics education, linear algebra, eigenvectors and eigenvalues, moments of inertia, GeoGebra 
690 |a Education 
690 |a L 
690 |a Special aspects of education 
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690 |a Technology 
690 |a T 
690 |a Engineering (General). Civil engineering (General) 
690 |a TA1-2040 
655 7 |a article  |2 local 
786 0 |n Journal of Technology and Science Education, Vol 7, Iss 1, Pp 100-113 (2017) 
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