From symmetry as a property to reflection as a geometrical transformation :
evolving meanings and computational tools

Abstract : This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to socially-accepted, institutional knowledge of this isometry and to compare how their activities shape and are shaped by different forms of mediation. It presents descriptions of the interactions of groups of students (aged 12-13 years) with one of two computational microworlds, based on either dynamic geometry or multiple-turtle geometry, during attempts to construct and validate a tool for reflection and considers how the tools of the microworlds were important in mediating the passage between meanings emphasising reflection as property and those emphasising reflection as function.
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Lulu Healy. From symmetry as a property to reflection as a geometrical transformation :
evolving meanings and computational tools. Jun 2003, Reims, France. ⟨edutice-00001334⟩

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