NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ775674
Record Type: Journal
Publication Date: 2007-Oct
Pages: 11
Abstractor: Author
Reference Count: 14
ISSN: ISSN-0020-739X
Embodied, Symbolic and Formal Thinking in Linear Algebra
Stewart, Sepideh; Thomas, Michael O. J.
International Journal of Mathematical Education in Science and Technology, v38 n7 p927-937 Oct 2007
Students often find their first university linear algebra experience very challenging. While coping with procedural aspects of the subject, solving linear systems and manipulating matrices, they may struggle with crucial conceptual ideas underpinning them, making it very difficult to progress in more advanced courses. This research has sought to apply Tall's three worlds of mathematics, embodied, symbolic and formal, to the linear algebra concepts of linear combination and linear independence by groups of second year university students. The results suggest that the students struggled to understand the concepts through definitions and primarily process conceptions, but that embodied, visual ideas proved a valuable adjunct to their thinking. (Contains 9 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: New Zealand