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Generalization and proof are defining activities within mathematics, yet the focus of "school" proof has often been on form over meaning, on established results rather than exploration and discovery. Computer-based microworlds offer opportunities for students to notice and describe patterns,...
In this paper we discuss a component-oriented architecture which we are employing to develop programmable exploratory software for mathematics. We argue that the architecture can be used to provide synergy between end-user programming and efficient behavior of components, i.e. Computational...
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