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Quotes from Mathematics as an Educational Task — Hans Freudenthal

1905–1990 Germany

← All quotes by Hans Freudenthal

5 quotes

Angles are measured by arcs, such that 360° and 2π correspond to each other.

Mathematics as an Educational Task (1973)

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

Mathematics as an Educational Task (1973)

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.

Mathematics as an Educational Task (1973)

No doubt once it was real progress when developers and teachers offered learners tangible material in order to teach them arithmetic of whole number... The best palpable material you can give the child is its own body.

Mathematics as an Educational Task (1973)

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.

Mathematics as an Educational Task (1973)

Attribution

Quotes and notes from Wikiquote: Hans Freudenthal (page history), available under CC BY-SA 4.0.