Usova L.B., Shakirova D.U.
METHODOLOGICAL ASPECTS OF TEACHING MATHEMATICS USING INFORMATION AND END-TO-END TECHNOLOGIES ^{[№ 1 ' 2023]}
Digital transformation affects all aspects of educational and professional activities. An urgent task of digital transformation of education is access to digital and end-to-end technologies. Modern digital and end-to-end technologies provide an innovative approach to learning, put forward new digital tools for the development of the university, promote the exchange of accumulated knowledge and experience. The use of digital technologies in modern education has become an affordable and reliable tool that contributes to improving the daily work of high-tech industries and service companies. This article is devoted to the review of new opportunities of digital transformation in education. Attention is paid to the role of information and end-to-end technologies, digital tools in teaching mathematical disciplines. The necessity of including these technologies in the educational process in connection with the demand for their application in modern professional activity is substantiated. On the basis of information and digital end-to-end technologies, the authors updated the main blocks of the work program of the discipline “Discrete Mathematics and mathematical Logic” In the fund of evaluation tools, practice-oriented tasks were developed. Taking into account: analysis and integration of scientific and methodological literature, internet resources, experience of scientific and pedagogical activity, the authors have improved and tested the methodology for the formation of digital competencies of students of the 02.03.02 Fundamental Informatics and Information Technology training direction.

Usova L.B., Shakirova D.U.
PRACTICE-ORIENTED APPROACH TO THE FORMATION OF MATHEMATICAL COMPETENCE OF STUDENTS AT THE “MATHEMATICS AND COMPUTER SCIENCES” TRAINING PROGRAM ^{[№ 1 ' 2018]}
In modern education the key role in bachelors training is played by the practice-oriented approach. It means that the content of mathematical disciplines of the main educational program must provide the university graduate not only with a set of knowledge in the corresponding subject domain and also with a possibility of their application for the solution of professional tasks. According to this approach the quality of mathematical training of future professional must form his mathematical competence. In the course of realization of the practice-oriented approach and on the basis of the analysis of FSES HE of the “Mathematics and computer sciences” bachelor training program, the differentiated complex of tasks on types of professional activity (research, production and technological, organizational and administrative, pedagogical) and on complexity levels was used. The developed practice-oriented tasks promoted the formation of abilities to analyze, synthesize, to abstractly think, generalize mathematical material, to solve applied problems in the field of the protected information and telecommunication technologies and systems at bachelors. Practice-oriented approach to bachelors training makes a basis of formation of mathematical competence, being a basic component of professional competence. Process of the solution of the practice-oriented tasks contributes not only to the development of practical and independent activities of bachelors, but also to the increase in their creative potential, to the formation of the professional demanded in labor market.

Gladkikh V.G., Usova L.B.
EDUCATIONAL AND METHODICAL SUPPORT OF MATHEMATICAL KNOWLEDGE ACTUALIZATION IN BACHELORS EDUCATION OF LIFE SAFETY PROGRAM ^{[№ 2 ' 2013]}
The article examines the complex of educational and methodical resources providing mathematical knowledge in training of life safety's bachelor in high school. Tasks and problems that make up actualizing resource of training life safety's bachelor are characterized; specific practice-oriented cases are given also.

Usova L.B.
ACTUALIZATION OF MATHEMATICAL KNOWLEDGE AT PROFESSIONAL PREPARATION OF FUTURE ENGINEERS OF VITAL ACTIVITY SAFETY ^{[№ 2 ' 2011]}
There are the results of state analyses of process of the mathematical cognizance's actualization in the professional training of a future engineer of personal and social safety; the aspects of mathematical cognizance's actualization of a future engineer are considered in the given article. Possible effective ways of improving of the process under consideration are suggested here.