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ERIC Number: EJ1216655
Record Type: Journal
Publication Date: 2019
Pages: 22
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1473-0111
Common Visual Representations as a Source for Misconceptions of Preservice Teachers in a Geometry Connection Course
Krajcevski, Milé; Sears, Ruthmae
International Journal for Mathematics Teaching and Learning, v20 n1 p85-106 2019
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.
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
Publication Type: Journal Articles; Reports - Research; Tests/Questionnaires
Education Level: Higher Education; Postsecondary Education; Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A