Sikorska G.A., Dzhukashev K.R., Kryuchkova I.V.
ABOUT THE PROBLEM OF IMPROVING THE MATHEMATICAL EDUCATION QUALITY AND PROPOSALS FOR ITS OVERCOMING ^{[№ 3 ' 2020]}
The concept of the development of mathematical education in the Russian Federation has set the task — to bring Russian mathematical education to a leading position in the world; the role of mathematics is determined — the most important component of world scientific and technological progress; a direct dependence of the success of Russia of the 21st century on the level of mathematical science, mathematical education and mathematical literacy of the entire population is recorded. The article reveals the conditions of graduate competitiveness upon admission to any universities of the country; the shortcomings of the educational system of the Orenburg region are revealed; the relevance of developing the theory, concept and methodology of the process of innovative improving the quality of mathematical education of high school students is substantiated. The necessity of creating an educational center, a methodological association for the development of effective forms of achieving results, contributing to the dissemination of experience in the accumulation and transfer of best practices for the development of mathematical education of high school students, updating and transferring the best methodological experience of training teachers teaching mathematics in specialized physics and mathematics classes is substantiated. The planned project will allow updating educational programs, creating an educational product based on modern information technologies. The purpose of the educational product is the development of students' mathematical thinking, providing high school students with high-quality mathematical preparation for the exam at a profile level.

Sikorskaya G.A., Gamova N.A., Kulish N.V.
ABOUT THE PREPARING OF HIGH SCHOOL STUDENTS FOR THE UNIFIED STATE EXAM IN MATHEMATICS ON THE BASIS OF THE PRINCIPLES OF STUDENT-ORIENTED EDUCATION ^{[№ 3 ' 2018]}
Universities are interested in strong applicants, able to harmoniously integrate into the educational environment of the university. USE, as an independent examination of students’ knowledge, requires systematic, competent training, which can be achieved only in the process of systematic, thoughtful work. The inadequacy of the methodology for preparing for the USE is one of the problems facing the school teacher today.
The main role of the teacher in the preparation for the USE is to orient the student to different levels of complexity of the program material. A close relationship between the supply of educational material through personally oriented tasks with value orientations and personal relations to educational and cognitive activity was revealed. Personally oriented tasks are based on the characteristics: the nature of the requirement, the composition of the source data, the way of implementation. The developed basis for the transformation of traditional tasks into personalized ones allows us to find the most optimal methods for solving problems. The trajectories of modeling the personally developing situation through personally oriented tasks on the basis of the structural-component composition of problems with parameters form the ability to analyze, to search for creativity, and to evaluate the result.
At the end of the work done, on the preparation of high school students of the lyceum for the Unified State Exam on mathematics on the basis of personally oriented assignments, the mathematical literacy of the trainees increased sharply, and overall performance was improved. Acknowledgment of the success of the training is consistently high points of the Unified State Exam on mathematics of the lyceum graduates, and, subsequently, high rating indicators of their academic performance at the university.

Gamova N.A., Kulish N.V., Sikorskaya G.A.
PEDAGOCICAL SUPERVISION IN LEARNING MATHEMATICS ^{[№ 2 ' 2018]}
Demand for graduate degrees are growing, thus necessity for more effective educational supervision occurs. Better the supervision, better result of students. If organization of students’ studying process improves, their abilities will mount. With correction and diagnosing problems in studying it`s possible to improve students` self-awareness in education process. Main aim of educational supervision is to get information about process as whole. In the studying process pedagocical supervision was created by providing all students variety of tasks with character oriented studying. In particular, it’s provided by tests and quizzes with public access, using modern technology, including possibility of real time remote studying. Pedagogical supervision of students has improved feedback for teacher’s work on consecutive steps of educational process. With character oriented studying students got mathematical skills for tackling practical tasks. They learnt how to use mathematical language and its symbols to construct managerial models and they have learnt how to improve their methods of studying on each steps of educational process.

A.V.Kostryukov, G.A.Sikorskaya
ON PRINCIPLES OF UNINTERRUPTED EDUCATION AND THEIR REALIZATION AT SCHOOL-COLLEGE STAGE ^{[№ 2 ' 2002]}
The article defines the role of education at the present stage of the country's development, on the one hand, through tasks and goals of Russia's becoming a legal state with market economy and, on the other hand, as the basic society-forming factor.