Formation of Research Skills of Future Teachers of Mathematics in Solving Olympiad Problems

This article addresses the critical need to enhance the professional training of teachers, specifically in the realm of teaching and research activities. The objective is to improve their cognitive and organizational skills to enhance the effectiveness of future educational endeavors. The article's primary focus is the development of a comprehensive model for instilling research skills in prospective mathematics educators. The study employs the "Diagnostics of Personal Creativity" test by E.E. Tunic as a principal assessment tool. This test aids in evaluating personal curiosity, analytical aptitude, the ability to think innovatively, and problem-solving capabilities, all of which are pivotal indicators of an individual's inclination towards research activities. The proposed model for cultivating research skills among future mathematics teachers hinges on a set of methodological parameters. These parameters are designed to elevate intellectual acumen by encouraging diverse cognitive comparisons within mental activities, forming the foundation for research-oriented thinking. The model underscores the gradual development of cognitive abilities across varying levels of depth, applied to solving complex Olympiad problems with intricate structures. In summary, this article presents a model that promises to significantly enhance the research skills of future mathematics teachers, thereby contributing to the advancement of the teaching profession and the holistic development of young learners.