Mathematics Majors' Diagram Usage When Writing Proofs in Calculus

Autor/inn/en	Mejía-Ramos, Juan Pablo; Weber, Keith
Titel	Mathematics Majors' Diagram Usage When Writing Proofs in Calculus
Quelle	In: Journal for Research in Mathematics Education, 50 (2019) 5, S.478-488 (11 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	Mathematics Instruction; Majors (Students); Validity; Mathematical Logic; Calculus; Visual Aids; Student Attitudes; Correlation; Mathematics Achievement; Undergraduate Students; Instructional Effectiveness + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Gültigkeit; Mathematical logics; Mathematische Logik; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Anschauungsmaterial; Schülerverhalten; Korrelation; Mathmatics sikills; Mathmatics achievement; Mathematical ability; Mathematische Kompetenz; Unterrichtserfolg
Abstract	We report on a study in which we observed 73 mathematics majors completing 7 proof construction tasks in calculus. We use these data to explore the frequency and effectiveness with which mathematics majors use diagrams when constructing proofs. The key findings from this study are (a) nearly all participants introduced diagrams on multiple tasks, (b) few participants displayed either a strong propensity or a strong reluctance to use diagrams, and (c) little correlation existed between participants' propensity to use diagrams and their mathematical achievement (either on the proof construction tasks or in their advanced mathematics courses). At the end of the report, we discuss implications for pedagogy and future research. (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/journal-for-research-in-mathematics-education
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01