Emphasizing Language and Visualization in Teaching Linear Algebra

Autor/inn/en	Hannah, John; Stewart, Sepideh; Thomas, Mike
Titel	Emphasizing Language and Visualization in Teaching Linear Algebra
Quelle	In: International Journal of Mathematical Education in Science and Technology, 44 (2013) 4, S.475-489 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2012.756545
Schlagwörter	Visualization; Teaching Methods; Algebra; Mathematics Instruction; Undergraduate Students; Lecture Method; Thinking Skills; Mathematics Skills; Student Attitudes; Mixed Methods Research; Language Skills; Written Language; Action Research; Case Studies + Suchen Sie Ihr Suchwort? Visualisation; Visualisierung; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Denkfähigkeit; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Schülerverhalten; Language skill; Sprachkompetenz; Geschriebene Sprache; Projektforschung; Case study; Fallstudie; Case Study
Abstract	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.) (As Provided).
Anmerkungen	Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10