Self-organization of a student in the process of teaching to solve mathematical tasks inproblem environment: synergetic approach

The article studies the activity of a student in the process of solving mathematical tasks in the problem environment, gives the characteristics of its phases in terms of a synergistic approach to teaching (by the example of the search for mathematical laws of distribution of points on Cartesian plane). The authors have revealed a positive role of instability of the state of a student in the problem environment of teaching to solve mathematical tasks for self-organi-zation and self-control of one,s actions on the implementation of their solution. The article explains the opportunity of passing the phase of instability of learning activity in the problem environment of teaching to solve mathematical tasks by students.