Аңдатпа
The study is based on a historical analysis of the creation of a national model of education of the Republic of Kazakhstan, aimed at improving the quality of training of human resources, meeting the needs of the individual, society and the state.The focus is on the process of updating the content of education for all levels of the education system, taking into account international trends.The tax of this important and well-known process should be attributed to 2015.During this period, amendments and additions were made to the Law of the Republic of Kazakhstan "On Education".The author pays significant attention to the content aspects of the new model of education, which is focused on the development of the functional literacy of schoolchildren, the skills of independent search, critical analysis and evaluation, initiative, and the ability to find non-standard solutions.A special place in the new model of education is given to the productive component.Expected educational results are defined in six areas and reflect the activity aspect: students "know", "understand", "apply", "analyze", "synthesize", "evaluate".Such a clear formulation of the expected results allows not only to objectively assess the educational achievements of students, but also to increase the motivation of students, improve the quality of the educational process.The main conclusion of the article is that updating the content of school education led to a change in the methodological training of future teachers of mathematics, actualized the issues of comprehensive educational and methodological support for teaching mathematics both at school and at a teacher training university.At the same time, teaching mathematical disciplines in a pedagogical university should be correlated with the methodology of teaching mathematics.For the professional training of a future teacher of mathematics, a balance of special mathematical and methodological training is necessary.