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Communication Dans Un Congrès Année : 2016

An Inquiry-Oriented Task Sequence for Eigentheory and Diagonalization in Linear Algebra

Megan Wawro
  • Fonction : Auteur
  • PersonId : 978674
Michelle Zandieh
  • Fonction : Auteur
  • PersonId : 984117

Résumé

We present an innovative task sequence for an introductory linear algebra course that supports students' reinvention of eigentheory and diagonalization. Grounded in the instructional design theory of Realistic Mathematics Education, the task sequence builds from students' experience with linear transformations in to introduce the idea of stretch factors and stretch directions. This is leveraged towards defining eigenvalues and eigenvectors, reinventing methods to determine them, and connecting them to change of basis and diagonalization. In the poster, we discuss the development of the task sequence and analyses of students' work on the tasks, specifically on characterizing their approaches for developing eigentheory methods.

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Education
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Dates et versions

hal-01337889 , version 1 (27-06-2016)

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  • HAL Id : hal-01337889 , version 1

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Megan Wawro, Michelle Zandieh. An Inquiry-Oriented Task Sequence for Eigentheory and Diagonalization in Linear Algebra. First conference of International Network for Didactic Research in University Mathematics, Mar 2016, Montpellier, France. ⟨hal-01337889⟩
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