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By Badiale M., Benci V., Rolando S.

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Or interact with fictitious people from the great novels, like Captain Nemo, Madame Bovary, Charles Swann, Molly Bloom, and others? 1. Captain Nemo taking a star sight from the deck of the Nautilus. 6 Mountain Climbing Every new body of discovery is mathematical in form, because there is no other guidance we can have. (Darwin) The key principle of our whole educational system states that education is based on science, more precisely education of today should be based on contemporary science. We touched this principle above and will return to it below in some more detail.

Thus, today the corner stones of traditional education, spelling and the multiplication table, seem to be loosing importance as pillars of elementary education. So if the multiplication table and long division no longer serve as the canon of elementary mathematics education, what could/should then be taught? What could/should be the purpose of elementary mathematics education? Or should the old canon be resurrected? 4 What is Mathematics? The question of the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in what direction it will find its final solution or whether a final objective answer may be expected at all.

We argue that this state of affairs is not motivated from either scientific or applications point of view. We believe that the computer is radically changing calculus and that this change has to be seen in the mathematics curriculum. This point of view is not the standard one giving the rationale of the present mathematics curriculum, which is much more modest, something like: ok, the computer is now here, but the essence of calculus remains the same and the education should not be radically changed in any respect.

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