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ERIC Number: EJ1013310
Record Type: Journal
Publication Date: 2013
Pages: 15
Abstractor: As Provided
Reference Count: 24
ISSN: ISSN-0020-739X
Emphasizing Language and Visualization in Teaching Linear Algebra
Hannah, John; Stewart, Sepideh; Thomas, Mike
International Journal of Mathematical Education in Science and Technology, v44 n4 p475-489 2013
Linear algebra with its rich theoretical nature is a first step towards advanced mathematical thinking for many undergraduate students. In this paper, we consider the teaching approach of an experienced mathematician as he attempts to engage his students with the key ideas embedded in a second-year course in linear algebra. We describe his approach in both lectures and tutorials, and how he employed visualization and an emphasis on language to encourage conceptual thinking. We use Tall's framework of three worlds of mathematical thinking to reflect on the effect of these activities in students' learning. An analysis of students' attitudes to the course and their test and examination results help to answer questions about the value of such an approach, suggesting ways forward in teaching linear algebra. (Contains 5 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A