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Organization of project-heuristic activity of future mathematics teachers in creating multimedia teaching tools

Now we can see a widespread introduction of modern digital technologies into the educational process in mathematics. These technologies can make learning more visual and accessible, implement an individual approach in teaching and manage the educationalcognitive heuristic activity of schoolchildren. The organization of project-heuristic activities in a higher pedagogical school can help prepare a future teacher for the development of computer-related tools. We refer to the means of digitalization of modern education as heuristic-didactic constructions in the form of computer programs for “non-rigid” control of educational activities of students in mathematical disciplines. The article describes the procedure for constructing such constructions in the form of accentuated, branched, chained programs and programs with delayed correction. The organization of project-heuristic activities of students — future mathematics teachers is aimed at teaching the creation of heuristic training and corrective simulators for schoolchildren based on the above programs. When designing multimedia heuristic simulators, students include a variety of heuristic tasks, systems of heuristically oriented tasks and other means of managing the educational and cognitive heuristic activity of students in their content. Teaching future mathematics teachers to build such simulators and manage them when working with schoolchildren is an important competence that should be formed in students in the context of digitalization of education.