Hans Freudenthal - Space Quotes

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Geometry is grasping space. And since it is about the education of children, it is grasping that space in which the child lives, breathes and moves. The space that the child must learn to know, explore, conquer, in order to live, breathe and move better in it.

Hans Freudenthal

Grasping spatial gestalts as figures is mathematizing of space. Arranging the properties of a parallelogram such that a particular one pops up to base the others on it in order to arrive at a definition of parallelogram, that is mathematizing the conceptual field of the parallelogram.

Hans Freudenthal

Space and the bodies around us are early mental objects... Name-giving is a first step towards consciousness.

Hans Freudenthal