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ERIC Number: EJ1368158
Record Type: Journal
Publication Date: 2023-Mar
Pages: 22
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: EISSN-1573-0816
Students' Understanding and Development of the Definition of "Circle" in Taxicab and Euclidean Geometries: An APOS Perspective with Schema Interaction
Kemp, Aubrey; Vidakovic, Draga
Educational Studies in Mathematics, v112 n3 p567-588 Mar 2023
Action-Process-Object-Schema (APOS) theory and the triad of schema development are used as the framework in this study to investigate students' understanding of the concept of "circle." In this report, results are presented from the data analysis of responses to questions in semi-structured interviews of 15 students enrolled in a college geometry course at a university. This report utilizes a framework describing the interaction of the "Taxicab geometry" and "Euclidean geometry" schemata to determine what components of these, and what relationships between them, were evoked when these participating students elaborated on their understanding of the circle concept. By adapting and transferring their knowledge of concepts back and forth between these two geometries, the participants demonstrated a variety of levels of schema interaction when responding to interview questions pertaining to circles. As a result, a model of schema interaction and pedagogical suggestions to help students better develop their "circle schema" are provided.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://bibliotheek.ehb.be:2123/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A