Accommodation in the Formal World of Mathematical Thinking

Autor/inn/en	Stewart, Sepideh; Schmidt, Ralf
Titel	Accommodation in the Formal World of Mathematical Thinking
Quelle	In: International Journal of Mathematical Education in Science and Technology, 48 (2017), (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2017.1360527
Schlagwörter	Mathematical Logic; Validity; Teaching Methods; Mathematics Instruction; Schemata (Cognition); Professional Personnel; Mathematics Teachers; College Faculty; Journal Writing; Meetings; Algebra; Concept Formation; Mathematical Concepts; Theories; Lecture Method; Qualitative Research; Oklahoma + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Gültigkeit; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Cognition; Schema; Kognition; Personalbestand; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Fakultät; Zeitschriftenaufsatz; Meeting; Tagung; Concept learning; Begriffsbildung; Theory; Theorie; Qualitative Forschung
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. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01