The article represents the results of psychological and pedagogic diagnostics of value guidelines of senior teenagers. The criteria and signs that allow evaluating the level of development of the system of value guidelines of senior teenagers are formulated. The level dynamics of the system of value guidelines of senior teenagers is represented.

There is suggested the theoretical substantiation of the process of teaching value guidelines to pupils in the educational work. There are marked out the areas of actualization of the axiological potential of mathematics. There is substantiated the connection of the process under consideration with humanitarization of mathematical education. There are formulated and grounded the pedagogic conditions and prerequisites for teaching value guidelines to pupils by means of mathematics as a subject.