Architecture of Mathematical Structure

Autor/inn/en	Venkat, Hamsa; Askew, Mike; Watson, Anne; Mason, John
Titel	Architecture of Mathematical Structure
Quelle	In: For the Learning of Mathematics, 39 (2019) 1, S.13-17 (5 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Mathematics Instruction; Mathematical Concepts; Algebra; Mathematical Formulas; Correlation; Foreign Countries; South Africa + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Mathematische Formel; Korrelation; Ausland; Südafrika; Süd-Afrika; Republik Südafrika; Südafrikanische Republik
Abstract	In this paper, we provide an elaboration of the notion of mathematical structure -- a term agreed upon as valuable but difficult to define. We pull apart the terminology surrounding the notion of structure in mathematics: relationship, generalising/generalisation and properties, and offer an architecture of structure that distinguishes and connects these terms. The terminology is then applied to teaching and learning phenomena related to multiplicative reasoning, illustrating how the demarcation of terms can offer a more precise language of description of learning about structure. We present 'formatting activity' as a key pedagogic action for accomplishing a focus on structure in teaching. (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