Teaching Mathematics: modern approaches and methods

The article provides a detailed analysis of the implementation of new educational programs in Azerbaijani schools in recent years, the changes occurring in the reform process, the crucial role of teachers in the education system, and the measures taken to improve learning outcomes. Additionally, special attention is given to the fulfillment of the strategic goals and objectives set by the state. The article elaborates on the achievements and challenges in the field of education as a result of the implementation of new programs aimed at its development. Furthermore, the article examines the differences among students in personality-oriented education, the effective planning of the learning process, the diagnostic nature of assessment, its continuous implementation, and the identification of differences and difficulties in students' comprehension levels through this assessment. The importance of diagnostic assessment and continuous monitoring, while considering the aspects of education that require individual approaches, is emphasized as a key issue in the article. Among the main principles discussed are teacher training, professional development of teachers, and the application of individualized approaches to students. The necessity of professional development for teachers at all stages of education to enhance the quality of teaching is highlighted. Furthermore, particular attention is given to identifying key directions that can contribute to the advancement of the education system. The article underscores the importance of both local and international experiences for the continuous development of education. As a result, it is concluded that the role of teachers in the teaching process has been strengthened, the quality of education has improved, and the application of different approaches is expected to lead to more positive learning outcomes.