ERIC Number: EJ1136056
Record Type: Journal
Publication Date: 2013
Pages: 17
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0256-0100
EISSN: N/A
Consistencies Far beyond Chance: An Analysis of Learner Preconceptions of Reflective Symmetry
Mhlolo, Michael Kainose; Schafer, Marc
South African Journal of Education, v33 n2 Article 686 2013
This article reports on regularities observed in learners' preconceptions of reflective symmetry. Literature suggests that the very existence of such regularities indicates a gap between what learners know and what they need to know. Such a gap inhibits further understanding and application, and hence needed to be investigated. A total of 235 Grade 11 learners, from 13 high schools that participate in the First Rand Foundation-funded Mathematics Education project in the Eastern Cape, responded to a task on reflective symmetry. Our framework for analysing the responses was based on the taxonomy of structure of the observed learning outcome. The results indicated that 85% of learner responses reflect a motion understanding of reflections, where learners considered geometric figures as physical motions on top of the plane. While this understanding is useful in some cases, it is not an essential aspect of mapping understanding, which is critical for application in function notations and other analytical geometry contexts. We suggest that if this gap is to be closed, learners need to construct these reflections physically so that they may think of reflections beyond motion.
Descriptors: High School Students, Grade 11, Geometry, Secondary School Mathematics, Taxonomy, Student Reaction, Geometric Concepts, Foreign Countries
Education Association of South Africa. University of Pretoria, Centre for the Study of Resilience, Level 3, Groenkloof Student Centre, Department of Educational Psychology, Faculty of Education, George Storrar Road and Lleyds Street, Pretoria 0001, South Africa. Tel: +27-12-420-5798; Fax: +27-12-420-5511; Web site: http://www.sajournalofeducation.co.za/index.php/saje/index
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools; Secondary Education; Grade 11
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: South Africa
Grant or Contract Numbers: N/A