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Visual aspects of understanding group theory
, 1999Undergraduate students often meet mathematics structured as in condensed formal mathematics texts, so their learning takes place within this structure. Mathematical knowledge, on the other hand, may be better understood by a more expansive process that ...
D. Almeida
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Participating in the learning of group theory
, 1998Focusing on student learning rather than the deductive presentation of mathematics is a stimulus not only to 'discover' theorems and proofs but also to generate the meaning of definitions and axioms before their formed articulation.
R. Burn
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Authority and politeness theories: conflict and alignment in mathematics group communication
ZDM, 2018In the paper we deploy two related theoretical and methodological approaches to see how they complement each other in the analysis of oral communication in mathematics group work. The first approach is an authority framework that builds on positioning theory and the second is politeness theory, with a focus on the sociological notion of face. Authority
Konstantinos Tatsis+2 more
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Symmetrical group theory for mathematical complexity reduction of digital holograms
Optical Review, 2017This work presents the use of mathematical group theory through an algorithm to reduce the multiplicative computational complexity in the process of creating digital holograms. An object is considered as a set of point sources using mathematical symmetry properties of both the core in the Fresnel integral and the image, where the image is modeled using
M. Perez-Ramirez+6 more
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Theme Group 4: Theory, Research and Practice in Mathematical Education [PDF]
Theory, research, and practice belong together, but the separation of professional roles of teacher and researcher produces a tendency to separate development. The discussion focussed on those ways in which research activity, whether performed by professional researchers or not, interacts with teachers’ approaches and practices.
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International Journal of Research in Undergraduate Mathematics Education, 2019
K. Melhuish
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K. Melhuish
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Conceptual Mathematics: Group theory and the number of types of connected objects
, 2009F. Lawvere, S. Schanuel
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Further Studies on the Mathematical Theory of Interaction of Individuals in a Social Group
Psychometrika, 1942A type of interaction of two active groups is considered, in which the opposition of each group increases as the success of the other increases. Some possible applications of this situation are discussed.
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MATHEMATICAL WORKS I: GROUP THEORY [PDF]
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