Extensions of the Semantic/Syntactic Reasoning Framework

Autor/in	Dawkins, Paul Christian
Titel	Extensions of the Semantic/Syntactic Reasoning Framework
Quelle	In: For the Learning of Mathematics, 32 (2012) 3, S.39-45 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Semantics; Syntax; Models; Mathematical Logic; Validity; Logical Thinking; Language Usage; Undergraduate Students; Geometry; College Mathematics + Suchen Sie Ihr Suchwort? Semantik; Analogiemodell; Mathematical logics; Mathematische Logik; Gültigkeit; Sprachgebrauch; Geometrie
Abstract	Weber and Alcock's (2004, 2009) syntactic/semantic framework provides a useful means of delineating two basic categories of proof-oriented activity. They define their dichotomy using Goldin's (1998) theory of representation systems. In this paper, I intend to clarify the framework by providing criteria for classifying student reasoning into different types of representation systems, especially pertaining to students' language use. I also suggest an extension to the framework by incorporating Goldin's (1998) construct of competencies. I demonstrate the analytical utility of these extensions to the framework in relation to a case study of two students' proving activity in an undergraduate geometry course. (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