A Covariational Understanding of Function: Putting a Horse before the Cart

Autor/inn/en	Paoletti, Teo; Moore, Kevin C.
Titel	A Covariational Understanding of Function: Putting a Horse before the Cart
Quelle	In: For the Learning of Mathematics, 38 (2018) 3, S.37-43 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Mathematics Education; Mathematical Concepts; Knowledge Level; Comprehension; Definitions + Suchen Sie Ihr Suchwort? Mathematische Bildung; Wissensbasis; Verstehen; Verständnis; Begriffsbestimmung
Abstract	Supporting students developing understandings of function has been a notoriously elusive task in mathematics education. We present Thompson and Carlson's (2017) description of a covariational meaning of function and provide an example of a student who maintains meanings compatible with this description. We use this student's activity to illustrate nuances in a covariational meaning of function and to highlight how such meanings can be powerful. We argue a student who has developed meanings compatible with a covariational meaning of function has the foundational meanings needed to understand a formal definition of function (i.e. the horse needed to pull the cart). (As Provided).
Anmerkungen	FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01