Elements of "fuzzy logic" as a component of professional and pedagogical training of future mathematics and informatics teachers

Introduction: the article describes the application of fuzzy logic in the teaching of mathematics. This theory has a great creative ability to solve various pedagogical tasks for the implementation of the developing and applied functions of school mathematical education. The purpose of the article is to identify the possibilities of including the theory of fuzzy logic in the composition of professional training for future teachers of mathematics and computer science with the definition of content and methodological features. Materials and Methods: normative and programmatic documents describing the implementation of the training of future teachers of mathematics and computer science were studied during the writing of the article. The authors looked through the results of sociological surveys of students. Theoretical analysis and comparison of domestic and foreign approaches to the study of fuzzy logic were used, as well as analysis of the content and features of the professional training process for future teachers of mathematics and com¬puter science. Pedagogical measurements, generalization of the experience of teaching special subjects at the Penza State University, and pedagogical experiments were involved. Results: the need to study the elements of fuzzy mathematics in the school and the appropriateness of including this subject in the content of professional preparation of future mathematics and computer science teachers was demonstrated. Methodological prerequisites for studying this topic are defined, the Using Elements of Fuzzy Logic to Solve Pedagogical Problems intensive course is developed. Discussion and Conclusions: the fuzzy logic course allows to strengthen the motivational and developing potential of teachers of mathematics and computer science at school and university due to the non-conventionality of the involved thinking techniques and the possibility of connecting diverse subject interrelations. As the main way of preparing future teachers of mathematics and computer science for teaching students the elements of fuzzy mathematics, it is advisable to consider an elective course that includes elements of fuzzy logic and their pedagogical applications. Students used the materials quite effectively in the course of their practical work as teachers of mathematics and computer science in high school.