Abstract
The article considers the issue of computer training of mathematics teachers in the context of using computer mathematics systems as a teaching tool. The analysis of propaedeutic tasks of the course “Mathematical foundations of Advanced Informatics” (MFAI) is carried out. The system of tasks is considered and situational tasks are analyzed with the use of rules-guidelines and methodical instructions for solving problems with the use of the GRAN system. An updated syllabus of the training course is offered taking into account modern requirements. The analysis of the logical-structural scheme of the training course “Mathematical foundations of Advanced Informatics” (MFAI) is considered. The main advantages of using the GRAN system are demonstrated. The results of the conducted pedagogical experiment using the computer mathematics system GRAN are offered. Criteria, indicators and methods of diagnosing the effectiveness of student learning are substantiated. The classification of problems is carried out and examples of didactic materials for teaching the course using computer mathematics systems GRAN are offered.