Linear Algebra Teaching and Learning
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Linear algebra has been recognized as a difficult subject for students, due mainly to the abstract nature of the concepts of this discipline (e.g., Dorier and Sierpinska 2001). The two main research themes regarding the teaching and learning of linear algebra are characterizations of student understanding of particular linear algebra concepts and different didactic approaches to improve its teaching and learning. After a brief summary of preliminary work, we describe research results related to three strands of interest.
Research on students’ learning of linear algebra started in the late 1980s. At that time, in France, several researchers called the attention of the international community to students’ difficulties in understanding concepts, even after they had taken one or two university courses on this subject. Dorier’s (2000) edited book was particularly important. His studies, based on a thorough analysis of the historical and epistemological...
KeywordsLinear algebra Role of abstraction Learning linear algebra Didactic approaches Using models in the teaching of linear algebra
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