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Examining Mathematical Discourse to Understand In-Service Teachers' Mathematical Activities
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Berger, Margot – Pythagoras, 2013
In this article I use Sfard's theory of commognition to examine the surprising activities of a pair of in-service mathematics teachers in South Africa as they engaged in a particular mathematical task which allowed for, but did not prescribe, the use of GeoGebra. The (pre-calculus) task required students to examine a function at an undefined point…
Descriptors: Mathematics Instruction, Mathematics Activities, Inservice Teacher Education, Mathematical Concepts
Potential Gaps during the Transition from the Embodied through Symbolic to Formal Worlds of Reflective Symmetry
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Mhlolo, Michael Kainose; Schäfer, Marc – African Journal of Research in Mathematics, Science and Technology Education, 2014
Even though reflective symmetry is heavily embedded in the everyday, learners continue to experience challenges when they mathematize concepts from this informal/everyday context. In this article we argue that symmetry exists in nature, it can also be symbolized algebraically and it can be abstracted into the world of axioms and theorems. We…
Descriptors: Learning Strategies, Reflection, Concept Formation, Cognitive Style
A Visualisation-Based Semiotic Analysis of Learners' Conceptual Understanding of Graphical Functional Relationships
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Mudaly, Vimolan – African Journal of Research in Mathematics, Science and Technology Education, 2014
Within the South African school curriculum, the section on graphical functional relationships consists of signs which include symbols, notation and imagery. In a previous article we explored the role visualisation played in the way learners understood mathematical concepts. That paper reported on the learners' fixation with the physical features…
Descriptors: Visualization, Semiotics, Mathematical Concepts, Concept Teaching
Understanding Connections in the School Mathematics Curriculum
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Mwakapenda, Willy – South African Journal of Education, 2008
I identify and discuss ways in which different types of connections are described in the South African mathematics National Curriculum Statement and its related documents, particularly at the Further Education and Training (FET) level. I argue that connections are central to the way the discipline of mathematics, its learning outcomes, and…
Descriptors: Foreign Countries, Problem Solving, Mathematical Concepts, Geometry
Mathematics Education at the Edge. Proceedings of the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, July 15-20, 2014)
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Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007). Volume 1
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Woo, Jeong-Ho, Ed.; Lew, Hee-Chan, Ed.; Park, Kyo-Sik Park, Ed.; Seo, Dong-Yeop, Ed. – International Group for the Psychology of Mathematics Education, 2007
The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A…
Descriptors: Preservice Teacher Education, Mathematics Curriculum, Elementary Secondary Education, Mathematics Education