The Possibilities of the Content of Individual Sections of Olympiad Mathematics for the Development of Information and Digital Competence of Future Mathematics Teachers

The possession of information and digital competence is important for the future teacher of mathematics, as it allows them to use digital technologies in their future professional activities, ensures the development of interactivity and collaboration in the educational process of secondary education, forms the ability to use data to analyze and improve the educational process of students, and also provides professional level improvement and self-development. Among the ways of developing the information and digital competence of future mathematics teachers the use of digital tools in their professional training should be mentioned, in particular, during the study of disciplines dedicated to the formation of skills to solve Olympiad problems. The article discusses some ways and possibilities of using digital technologies in the study of one of the rather complex and specific topics of the school mathematics course - the topic "Proofing Inequalities". The authors found that the use of digital technologies can be useful both in the search for the proof method itself, and for creating tasks for proving inequalities. The last skill is important from the point of view of developing Olympiad problems on the specified topic. At the same time, the authors recommend that students use their own mobile devices and services such as online calculators, the dynamic mathematics program GeoGebra, chatbot with artificial intelligence ChatGPT in practical and seminar classes. According to the authors, the implementation of the approach presented in the article will allow future teachers of mathematics to form ideas and knowledge about the possibilities of using cloud services and mobile devices in the process of studying specific topics of the school mathematics course (as well as solving some Olympiad problems), develop the ability to independently collect, analyze , transfer mathematical information, use software and hardware devices to collect, process, store and transmit information, evaluate and choose digital technology tools for organizing the educational process in mathematics, awareness of the possibilities of the information environment to ensure the quality of the educational process in the conditions of the New Ukrainian School.