Fundamentals of formation in learning of research skills and ict competence in teaching solving tasks using a computer

The study examines a model for creating a series of learning tasks, built on the basis of ideas about the three-component structure of mental actions (orientation, execution, control). With the help of problems of a dynamic nature, focused on the management of learning and cognitive activity of students, the work reveals one of the possible approaches to the joint study of the formulas for full probability and Bayes It is noted that for the effective management of the educational and cognitive activity of students, the postoperative feedback is carried out, turning into intermediate feedback and communication on the final result.
The article emphasizes that the optimality of the process of formation of elements of research activity is carried out by increasing the efficiency of its mastering over time. The latter is achieved through the methods of joint mastering by students of educational material related to mastering, for example, the formulas of full probability and Bayesian.
In this perspective, it is noted that it is advisable to use the stages of information technology problem solving, and the use of ICT as a process of forming tools in life and ICT-competencies for the vocational guidance of a graduate school.
The article emphasizes the need to form ICT-competencies of the teacher as a requirement of the federal state educational standard in the conditions of the information educational environment, defines the principles for constructing a methodological system for the formation of ICT-competencies within pedagogical universities through problem solving using computer technologies.