Common Visual Representations as a Source for Misconceptions of Preservice Teachers in a Geometry Connection Course

Autor/inn/en	Krajcevski, Milé; Sears, Ruthmae
Titel	Common Visual Representations as a Source for Misconceptions of Preservice Teachers in a Geometry Connection Course
Quelle	In: International Journal for Mathematics Teaching and Learning, 20 (2019) 1, S.85-106 (22 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1473-0111
Schlagwörter	Preservice Teachers; Mathematics Education; Visualization; Misconceptions; Geometry; Geometric Concepts; Middle School Teachers; Learning Processes; Problem Solving; Mathematical Logic + Suchen Sie Ihr Suchwort? Mathematische Bildung; Visualisation; Visualisierung; Missverständnis; Geometrie; Elementare Geometrie; Middle school; Middle schools; Teacher; Teachers; Mittelschule; Mittelstufenschule; Lehrer; Lehrerin; Lehrende; Learning process; Lernprozess; Problemlösen; Mathematical logics; Mathematische Logik
Abstract	In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions posed on a cumulative final exam, which focused on computing and comparing areas of parallelograms, and triangles represented by atypical images. We use the notions of concept image and concept definition as our theoretical framework for an analysis of the students' responses. Our findings have implication on how typical images can impact students' cognitive process and their concept image. We provide a number of suggestions that can foster conceptualization of the notions of median and altitude in a triangle that can be realized in an enacted lesson. (As Provided).
Anmerkungen	Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.org.uk/ijmtl/index.php/IJMTL/about
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01