Exploring Mathematical Definition Construction Processes

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Bodily experience and mathematical conceptions: from classical views to a phenomenological reconceptualization (2009, background): “There are also continued efforts to come to grips with the nature of mathematical conceptions, which have been theorized, for example, in the form of a duality of mathematical processes and products (Sfard 1991), a three-world hypothesis including embodied, proceptual, and formals worlds (Tall 2004)”
Early-years teachers’ concept images and concept definitions: triangles, circles, and cylinders (2015, background): “Definitions that begin by identifying a larger class within which the defined object falls, and then distinguishing that item from the rest of the class, are called genus–differentia definitions (Ouvrier-Buffet 2006).”