6533b853fe1ef96bd12ad7df

RESEARCH PRODUCT

A Teaching proposal for the study of eigenvectors and eigenvalues

María J. Beltrán-meneuMarina Murillo ArcilaEnrique Jorda Mora

subject

Algebras LinearMoments d'inèrciaComputer scienceÀlgebra lineal -- EnsenyamentMathematicsofComputing_NUMERICALANALYSISMathematics education -- Algebralcsh:TechnologyStructuringEducationMoments of inertiaSoftwareUndergraduate mathematics educationSchema (psychology):Ensenyament i aprenentatge::Ensenyament universitari [Àrees temàtiques de la UPC]Ensenyament universitari0501 psychology and cognitive sciencesLinear algebraundergraduate mathematics educationMatemàtica -- Educació secundàriaEigenvalues and eigenvectorsundergraduate mathematics education linear algebra eigenvectors and eigenvalues moments of inertia GeoGebralcsh:LC8-6691moments of inertialcsh:Special aspects of educationlcsh:Tbusiness.industry05 social sciences050301 educationEigenvaluesRigid bodyVisualizationAlgebraGeoGebraValors propislinear algebralcsh:TA1-2040Embodied cognitionLinear algebralcsh:Llcsh:Engineering (General). Civil engineering (General)EigenvectorsbusinessMATEMATICA APLICADA0503 educationEigenvectors and eigenvalueseigenvectors and eigenvalueslcsh:Education050104 developmental & child psychology

description

[EN] 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.

yearjournalcountryeditionlanguage
2017-03-01
10.3926/jotse.260