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Stewart, Sepideh; Schmidt, Ralf – International Journal of Mathematical Education in Science and Technology, 2017
In this study, we examined a mathematician and one of his students' teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall's framework of three worlds of mathematical thinking as well as Piaget's notion of accommodation to theoretically study the…
Descriptors: Mathematical Logic, Validity, Teaching Methods, Mathematics Instruction
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Kensington-Miller, Barbara; Sneddon, Jamie; Stewart, Sepideh – International Journal of Mathematical Education in Science and Technology, 2014
The changes in academic identity a teacher may undergo, as they modify their teaching practice, will vary depending on their experiences and the support they receive. In this paper, we describe the shifts in academic identity of two lecturers, a mathematician and a mathematics educator, as they both made changes to their teaching practice by…
Descriptors: Professional Identity, Educational Practices, Mathematics Teachers, College Mathematics
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Hannah, John; Stewart, Sepideh; Thomas, Mike – International Journal of Mathematical Education in Science and Technology, 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…
Descriptors: Visualization, Teaching Methods, Algebra, Mathematics Instruction
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Stewart, Sepideh; Stewart, Wayne – International Journal of Mathematical Education in Science and Technology, 2013
Over the past decade, many researchers have discussed the effectiveness of clickers and their potential to change the way we teach and interact with students. Although most of the literature revolves around elementary usage of clickers, the deeper questions of how to integrate this technology into teaching are largely unanswered. In this paper, we…
Descriptors: Audience Response Systems, Handheld Devices, Educational Technology, Teaching Methods
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Hannah, John; Stewart, Sepideh; Thomas, Mike – International Journal of Mathematical Education in Science and Technology, 2011
This article continues a fairly recent trend of research examining the teaching practice of university mathematics lecturers. A lecturer's pedagogical practices in a course in linear algebra were discussed via a supportive community of inquiry. We use Schoenfeld's framework describing the relationship of resources, orientations and goals to…
Descriptors: Algebra, Teaching Methods, Educational Objectives, Mathematics Education
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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
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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
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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