Problem statement. This article is devoted to such a topical issue as the use of the dynamic mathematics system (DMS) GeoGebra in teaching mathematics. DMSs are gradually being introduced into mathematics education, but the question is raised about the effectiveness of their application. The purpose of the article is to study the influence of GeoGebra on the quality of the solving of tasks on the topic «Second order curves» by 2nd year students studying in the specialty “Applied Informatics (by branches)” at NovosibirskProfessional and Pedagogical Vocational Education Institution. The research methodology consisted in the analysis and synthesis of scientific literature on the chosen topic, pedagogical experiment, mathematical methods of processing the results of this experiment and observation of the participants in the pedagogical process.The obtained results of the research indicate that the use of the GeoGebra program has a positive effect on the academic performance of students. Statistical processing of the obtained data shows that there are no differences in the selected criteria between the group that worked in the GeoGebra and the group that worked without computer programs. However, the use of DMSmakes it possible to visually demonstrate the material, draw the attention of students to the academic discipline, promotes the development of creative thinking, and allows students to experiment with mathematical objects on their own. Conclusion. Due to the widespread use of dynamic systems in mathematics education, the study of their influence on the development of various cognitive abilities and personal qualities of students is of practical and scientific interest. The materials of the work can be used in the educational process when teaching and learning the course EN.01 Mathematics at the level of secondary vocational education and distributed to various topics and sections of mathematical disciplines at other levels of education.

Statement of the problem. Specialists involved in the training of track and field athletes-walkers note the need to develop recommendations for optimizing and individualizing the training process. At the same time, experts see the problem in the need to improve the methodological framework. This article presents the role of not just a methodological complex for providing training for athletes, but a methodological complex taking into account their specialization. The purpose of the article is to identify ways for improving methodological tools when training track-and-field athletes at the stage of sports skills improvement. The research methodology consists of general scientific research methods. In particular, the method of generalization, analysis, and content analysis. The analysis resulted in conclusions that determine the role of software and methodological support. Research results. As a result of the analysis, generalization of the results of a number of authors, including practitioners, the necessity of using an interdisciplinary approach to the problem of methodological support for the training of athletes was revealed. It is proposed to use digital technologies in the development and implementation of methodological tools in the practice of coaching at the stage of improving sports mastery. Conclusion. The article proposes a new approach to the development of the methodological basis of the training process. To achieve the stage of sports skills improvement, athletes and a coach need effective teaching materials, since the period of improvement coincides with the process of preparing for a competition, and such training must take into account many factors, a coach must have a significant amount of theoretical knowledge and practical skills, and this does not always correspond to reality. At the stage of improvement, effective and tested in practice software and methodological complex can solve many problems, eliminate knowledge deficits, so its importance can hardly be overestimated. The article concludes that it is necessary to introduce programming elements, to use digital technologies in the development and use of training programs for athletes. The created program will allow a trainer to track athlete’s achievements, will allow predicting, analyzing, modeling the results achieved, and, most importantly, and to take into account the characteristics of the athlete. Such a methodological complex based on the programming language and modern digital technologies is based on interdisciplinary and integrated approaches to the problem of improving sports mastery.