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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 Mathematics as an Educational Task (1973)

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More quotes by Hans Freudenthal

Horizontal mathematising leads from the world of life to the world of symbols.

Revisiting Mathematics Education (1991)

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

Mathematics as an Educational Task (1973)

Vertical mathematising is the most likely part of the learning process for the bonds with reality to be loosened and eventually cut.

Revisiting Mathematics Education (1991)

Educational technique needs a philosophy, which is a matter of faith rather than of science.

Hans Freudenthal (1977)

No scientist is as model minded as is the statistician; in no other branch of science is the word model as often and consciously used as in statistics.

The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961)

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Since, in the long run, every planetary society will be endangered by impacts from space, every surviving civilization is obliged to become spacefaring — not because of exploratory or romantic zeal, but for the most practical reason imaginable: staying alive.

Carl Sagan Pale Blue Dot: A Vision of the Human Future in Space (1994)

The stars awaken a certain reverence, because though always present, they are inaccessible; but all natural objects make a kindred impression, when the mind is open to their influence. Nature never wears a mean appearance.

Ralph Waldo Emerson Nature (1836)

Her blue eyes sought the west afar,
For lovers love the western star.

Walter Scott The Lay of the Last Minstrel (1805)

Einstein's space is no closer to reality than Van Gogh's sky.

Arthur Koestler The Act of Creation (1964)

Attribution

Quote text and notes from Wikiquote: Hans Freudenthal (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.