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ERIC Number: EJ1158998
Record Type: Journal
Publication Date: 2017
Pages: 10
Abstractor: As Provided
ISSN: ISSN-0020-739X
Accommodation in the Formal World of Mathematical Thinking
Stewart, Sepideh; Schmidt, Ralf
International Journal of Mathematical Education in Science and Technology, v48 suppl 1 pS40-S49 2017
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.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Oklahoma
Grant or Contract Numbers: N/A