Students' Pronominal Sense of Reference in Mathematics

Autor/in	Dawkins, Paul Christian
Titel	Students' Pronominal Sense of Reference in Mathematics
Quelle	In: For the Learning of Mathematics, 39 (2019) 1, S.18-23 (6 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Mathematics Instruction; Calculus; College Mathematics; Undergraduate Students; Mathematical Logic; Thinking Skills + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematical logics; Mathematische Logik; Denkfähigkeit
Abstract	This paper sets forth a construct that describes how many undergraduate students understand mathematical terms to refer to mathematical objects, namely that they only refer to those objects that satisfy the term. I call this students' pronominal sense of reference (PSR) because it means they treat terms as pronouns that point to objects, like "that." The paper compares this account of reference with those assumed in common mathematical logic instruction. I demonstrate how propositional logic imposes unnatural uses of language on students while predicate logic is more natural to naïve language use and mathematical language use, when developed properly. (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