Leading students towards the formal world of mathematical thinking: a mathematician’s reflections on teaching eigentheory
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[1] University of Oklahoma
University of Oklahoma
Estados Unidos
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- Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 50, Nº. 7, 2019, págs. 1011-1023
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
In this study, we analysed a mathematician’s teaching journals on eigenvalues and eigenvectors in afirst-year linear algebra course. The research team employed Tall’s [How humans learn to thinkmathematically: Exploring the three worlds of mathematics. Cambridge University Press] three-world model of embodied, symbolic and formal as a framework for understanding the mathematician and teacher’s pedagogical reflections as he led the class to the formal world. In order to reach the formal world, he used a sequence of tasks that emphasized embodied and symbolic, as well as formal thinking. The analysis of the journals showed that the mathematician faced challenges in leading the class towards the formal world. The study also revealed that the mathematician strived to build a concept image, that, while perhaps mirroring his own, did not resonate with the students.
