  The paper is devoted to technology of math. education in Russia in special
mathematical schools ("listkovaya systema"). This system has positive sides and
most classes in Russian mathematical schools or circles almost always uses it.
However, this system is not good to teach students, in particular to
theoretical thinking. We discourse positive and negative sides of it and
explain why it should be complimented.
  The second part of paper devoted to some specific items - information theory,
algebra and non-Euclidean geometry. We show, where is dialog is necessary.
