文章基本信息

标题：A teaching proposal for the study of Eigenvectors and Eigenvalues
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作者：María José Beltrán Meneu ; Marina Murillo Arcila ; Enrique Jordá Mora 等
期刊名称：Journal of Technology and Science Education
电子版ISSN：2013-6374
出版年度：2017
卷号：7
期号：1
页码：100-113
DOI：10.3926/jotse.260
出版社：Journal of Technology and Science Education
摘要：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.