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Direct linkStewart, 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
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
