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- W2006684684 abstract "This paper was triggered by an authentic conversation between two mathematics teacher educators who debated whether a constant function is a periodic function, within the framework of a professional development program for secondary mathematics teachers. Their initial conversation led to deep mathematical and pedagogical musing surrounding mathematical definitions. In this paper, we present various aspects of a mathematical definition, including the role and nature of definitions in school mathematics, critical versus preferable features of a definition, and the arbitrariness underlying the choice of definition. We discuss the interplay between logical and pedagogical considerations with respect to definitions, drawing on the definition of a periodic function as an example." @default.
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- W2006684684 date "2003-01-01" @default.
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- W2006684684 title "The many facets of a definition: The case of periodicity" @default.
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- W2006684684 doi "https://doi.org/10.1016/s0732-3123(03)00006-3" @default.
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