Chunky and Smooth Images of Change

Autor/inn/en	Castillo-Garsow, Carlos; Johnson, Heather Lynn; Moore, Kevin C.
Titel	Chunky and Smooth Images of Change
Quelle	In: For the Learning of Mathematics, 33 (2013) 3, S.31-37 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Mathematics Instruction; Mathematical Concepts; Change; Concept Formation; Mathematics Skills; Imagination; Teaching Methods + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Wandel; Concept learning; Begriffsbildung; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	Characterizing how quantities change (or vary) in tandem has been an important historical focus in mathematics that extends into the current teaching of mathematics. Thus, how students conceptualize quantities that change in tandem becomes critical to their mathematical development. In this paper, we propose two images of change: chunky and smooth. Chunky images of change are based in imagining change as occurring countable and completed amounts, whereas smooth images of change are based in imagining a continually changing experience. Using empirical examples of student work, we illustrate these images of change and their implications. (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	2017/4/10