1. A mathematician’s deliberation in reaching the formal world and students’ world views of the eigentheory
- Author
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Stewart, Sepideh, Epstein, Jonathan, Troup, Jonathan, Mcknight, David, Veldhuis, Michiel, Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, Michiel Veldhuis, University of Oklahoma (OU), and Utrecht University
- Subjects
eigentheory ,[SHS.EDU]Humanities and Social Sciences/Education ,[SHS.EDU] Humanities and Social Sciences/Education ,concept images ,[MATH] Mathematics [math] ,[MATH]Mathematics [math] ,reflections ,Three worlds of mathematical thinking - Abstract
International audience; In this paper we analyzed a mathematician’s journals of 5-day teaching episodes on eigenvalues and eigenvectors in a first-year linear algebra course, as well as his students’ responses to a survey. We employed Tall’s (2013) three world model, to follow the mathematician’s and his students’ movements between the three worlds. The study revealed that despite the mathematician’s efforts in demonstrating a more holistic view of the concepts, many students found linear algebra very abstract and gravitated more toward symbolic thinking.
- Published
- 2019