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Accommodation in the Formal World of Mathematical Thinking
- Source :
-
International Journal of Mathematical Education in Science and Technology . 2017 48(1):S40-S49. - Publication Year :
- 2017
-
Abstract
- In this study, we examined a mathematician and one of his students' teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall's framework of three worlds of mathematical thinking as well as Piaget's notion of accommodation to theoretically study the narratives. This paper reveals the pedagogical challenges of proving an elegant theory as the events unfolded. Although the mathematician was conscious of the students' abilities as he carefully made the path accessible, the disparity between the mind of the mathematician and the student became apparent.
Details
- Language :
- English
- ISSN :
- 0020-739X
- Volume :
- 48
- Issue :
- 1
- Database :
- ERIC
- Journal :
- International Journal of Mathematical Education in Science and Technology
- Publication Type :
- Academic Journal
- Accession number :
- EJ1158998
- Document Type :
- Journal Articles<br />Reports - Research
- Full Text :
- https://doi.org/10.1080/0020739X.2017.1360527