Author works as skilled assistants of ITE in České Budějovice and as teacher of math of gymnasium Jírovcova České Budějovice. This gymnasium attained excellent results with of taking care of talented students. Introduction of the article provides brief summary of the biggest success of the student's gymnasium. The next following item describes some methods work with talented, mainly aimed at the individual students work presented with some concrete examples. The finish pays attention to coopreation of high schools and universities.