Embodied, Symbolic and Formal Thinking in Linear Algebra

Autor/inn/en	Stewart, Sepideh; Thomas, Michael O. J.
Titel	Embodied, Symbolic and Formal Thinking in Linear Algebra
Quelle	In: International Journal of Mathematical Education in Science and Technology, 38 (2007) 7, S.927-937 (11 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Advanced Courses; Mathematics Instruction; College Mathematics; Mathematical Logic; Thinking Skills; Algebra; College Students; Problem Solving; Mathematical Concepts; Matrices; Foreign Countries; New Zealand + Suchen Sie Ihr Suchwort? Fortgeschrittenenunterricht; Mathematics lessons; Mathematikunterricht; Mathematical logics; Mathematische Logik; Denkfähigkeit; Collegestudent; Problemlösen; Matrizenrechnung; Ausland; Neuseeland
Abstract	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.) (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10