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Stewart, Sepideh; Thomas, Michael O. J. – International Journal of Mathematical Education in Science and Technology, 2010
One of the earlier, more challenging concepts in linear algebra at university is that of basis. Students are often taught procedurally how to find a basis for a subspace using matrix manipulation, but may struggle with understanding the construct of basis, making further progress harder. We believe one reason for this is because students have…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, College Mathematics
Stewart, Sepideh; Thomas, Michael O. J. – International Journal of Mathematical Education in Science and Technology, 2009
Linear algebra is one of the unavoidable advanced courses that many mathematics students encounter at university level. The research reported here was part of the first author's recent PhD study, where she created and applied a theoretical framework combining the strengths of two major mathematics education theories in order to investigate the…
Descriptors: Advanced Courses, Mathematics Education, Algebra, Mathematics Instruction
Stewart, Sepideh; Thomas, Michael O. J. – International Journal of Mathematical Education in Science and Technology, 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…
Descriptors: Advanced Courses, Mathematics Instruction, College Mathematics, Mathematical Logic