The role of a modern teacher in the formation of key competencies using real-life problems in geometry

Examines the role of a modern teacher in developing students' key competencies in teaching geometry, with an emphasis on the use of real-life tasks. It is shown that real-life tasks are practice-oriented, interdisciplinary assignments that allow students to apply knowledge in real situations. They contribute to the development of informational, communicative, educational and cognitive, social, value-semantic and mathematical competencies. The teacher acts as a facilitator, mentor and organizer of the educational environment, supporting active, meaningful and reflective activities of schoolchildren. The article presents methodological recommendations for the selection and implementation of real-life tasks, examples for grades 7-9, and also indicates the difficulties faced by teachers and ways to overcome them. Particular attention is paid to the need to rethink the pedagogical role in the context of a competence-based approach. It is concluded that the inclusion of life tasks in the educational process allows not only to increase motivation and interest in geometry, but also contributes to the formation of skills necessary for students in the 21st century. Successful implementation of this approach requires professional growth of the teacher, methodological support and readiness for innovation.