The idea of "geometrization" of mathematical education as opposed to "algebraization" has been discussed widely in the recent decade at least, maybe more. In Ru

The idea of "geometrization" of mathematical education as opposed to "algebraization" has been discussed widely in the recent decade at least, maybe more. In Russian school of mathematics, Vladimir Arnold (http://en.wikipedia.org/wiki/Vladimir_Arnold http://en.wikipedia.org/wiki/Vladimir_Arnold), was a very strong proponent of the idea. You can read his talk of the subject here http://pauli.uni-muenster.de/~munsteg/arnold.html http://pauli.uni-muenster.de/~munsteg/arnold.html .