  Mathematics enters the period of change unprecedented in its history, perhaps
even a revolution: a switch to use of computers as assistants and checkers in
production of proofs. This requires rethinking traditional approaches to
mathematics education which is struggling through a crisis of its own,
socio-economic and political by its nature. The mathematical community faces
Pandora's box of problems, which, surprisingly, are not usually discussed in
any connected form. The present paper attempts to address this issue in a bit
more joint and cohesive way.
