@article {MATHEDUC.06476341,
author = {Salgado, Hilda and Trigueros, Mar\'{\i}a},
title = {Teaching eigenvalues and eigenvectors using models and APOS theory.},
year = {2015},
journal = {The Journal of Mathematical Behavior},
volume = {39},
issn = {0732-3123},
pages = {100-120},
publisher = {Elsevier, New York, NY},
doi = {10.1016/j.jmathb.2015.06.005},
abstract = {Summary: In this article we share the results of an investigation of a classroom experience in which eigenvalues, eigenvectors, and eigenspaces were taught using a modeling problem and activities based on APOS (Action, Process, Object, Schema) Theory. We show how a sample of 3 students were able to construct an object conception of these difficult concepts in one semester course -- something that existing literature had proven to be almost impossible to achieve. Using one team as a case study we describe the work done by a group of 30 students to show how eigenvectors and eigenvalues emerged in a group discussion. Furthermore, we present evidence on how, at least three students, were able to construct an object conception, demonstrating a deep understanding of these concepts. Finally, we validate the designed genetic decomposition. In summary, the results demonstrate the approach to be promising in the learning of eigenvalues and eigenvectors.},
msc2010 = {H65xx (M45xx)},
identifier = {2015e.00708},
}