Bodily experience and mathematical conceptions: from classical views to a phenomenological reconceptualization

摘要

Mathematical concepts and conceptions have been theorized as abstractions from—and therefore transcending—bodily and embodied experience. In this contribution, we re-theorize mathematical conceptions by building on recent philosophical work in dialectical phenomenology. Accordingly, a conception exists only in, through, and as of the experiences that the individual realizes it. To exemplify our reconceptualization of mathematical conceptions, we draw on an episode from a study in a second-grade classroom where the students learned about three-dimensional geometrical objects. Keywords Embodiment - Phenomenology - Dialectics - Epistemology - Kant - Piaget - van Hiele