A teaching proposal for the study of Eigenvectors and Eigenvalues

  1. Beltrán Meneu, María José
  2. Murillo Arcila, Marina
  3. Jordá Mora, Enrique
Zeitschrift:
JOTSE

ISSN: 2013-6374

Datum der Publikation: 2017

Ausgabe: 7

Nummer: 1

Seiten: 100-113

Art: Artikel

DOI: 10.3926/JOTSE.260 DIALNET GOOGLE SCHOLAR lock_openDialnet editor

Andere Publikationen in: JOTSE

Zusammenfassung

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.

Informationen zur Finanzierung

The research of Mar?a Jos? Beltr?n-Meneu was partially supported by MINECO and FEDER Project EDU2015-69731-R and GVA, grupo de investigaci?n emergente GV/2016/129. The research of Enrique Jord? was partially supported by GVA, Project AICO/2016/054.

Geldgeber