Factors and importance of the development of cognitive competence of a future mathematics teacher in higher education institutions A number of new laws aimed at radically improving the quality and efficiency of the education system, the educational process are being adopted in the country. President of the Republic of Uzbekistan Sh.M. Mirziyoyev's Resolution No. PP-2909 of April 20, 2017 "On measures to further develop the system of higher education" and PQ-4708 of May 7, 2020 "On measures to improve the quality of education and development of scientific research in mathematics" The main task is to improve, train highly qualified specialists at the level of international standards, create the necessary conditions for the further development of mathematics education and science. Today, along with material factors in improving the system of higher education, professional training of future mathematics teachers, improving the quality and effectiveness of education, the level and potential of developing cognitive competencies in the teaching of elementary mathematics is also important. The higher education system plays a special role in developing the cognitive competencies of students and creating the necessary conditions for them to operate in accordance with the requirements of the time. At the same time, there are radical changes in the education system, ie the values, motives, norms, goals, role, forms and methods, tools, monitoring and evaluation of the participants of the learning process allowed to emphasize the personality, interests and vital values of the student. The specificity of the future mathematics teacher and the teaching of elementary mathematics is to highlight the impact of the choice of content, methods, tools, forms, the need to develop cognitive competence in students