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Dragging in a Dynamic Geometry Environment through the Lens of Variation
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Leung, Allen – International Journal of Computers for Mathematical Learning, 2008
What makes Dynamic Geometry Environment (DGE) a powerful mathematical knowledge acquisition microworld is its ability to visually make explicit the implicit dynamism of thinking about mathematical geometrical concepts. One of DGE's powers is to equip us with the ability to retain the background of a geometrical configuration while we can…
Descriptors: Mathematics Education, Geometry, Mathematics Instruction, Computer Uses in Education
Dynamic Geometry and The Theory of Variation
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Leung, Allen – International Group for the Psychology of Mathematics Education, 2003
In this paper, the theory of variation in the tradition of phenomenographic research approach is placed in the context of Dynamic Geometry Environment (DGE). Central concepts of discernment, variation, simultaneity and space of learning in the theory of variation are discussed for simple dragging episodes in DGE to illustrate the potential…
Descriptors: Research Methodology, Geometry, Geometric Concepts, Phenomenology