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One can notice that quite often difference between so-called "standardstudents" and "gifted" ones is not because that first are less smart, but theyhave different "orientation", they consider subject as a collections of ruleswhich should not be broken. The first aim is to overcame this dogmatic point ofview on this subject, and only after that possible to judge a person to betalented one or not. This is the first stage of math education, the materialneeds just to serve it.  The technology of overcoming this wrong relation to subject is discoursed inspirit of the I.S.Rubanov paper "Method of Mathematical induction" (see chapter9, http://www.ams.org/books/mawrld/007/). Giftness problems and staging of math(and scientific) education are discoursed.

Giftness problem and Staging of Math Education (according to the I.S.Rubanov paper "Method of Mathematical induction")