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