The content analysis of key concepts of STEM is conducted. The essence of the new approach in education is established. The relevance of STEM education is related to the requirements of the world labor market. The content of the most demanded in the labor market of the XXI century, competencies and skills are presented in the article. The purpose, task, structure, content and expected results of the introduction and development of STEM-education in Ukraine are determined. Accordance of STEM-education with the conceptual foundations for the development of the "New Ukrainian School" is defined. The main definitions of STEM-education are offered. It was noted that a special place in the formation of its content is transdisciplinary approach, cognitive technologies in the organization of cognitive activity. Possible ways of further development of STEM-learning in Ukrainian education are considered.

The educational system of Ukraine, like those of most countries in the world, was not ready for the long-term changes caused by the COVID-19 pandemic. The survey of participants of the educational process revealed that 25% of secondary school students did not start the educational process at all for various reasons, which indicates the need to rethink and restructure the educational process based on new organizational and methodological approaches. The article presents the results of a study of the data of the survey “Challenges of distance learning” conducted by the Institute of Gifted Child of the National Academy of Pedagogical Sciences of Ukraine from 25.05.2020 to 10.08.2020 on determining the opinion of participants of the educational process in conditions of the COVID-19 pandemic. The purpose of the study was to determine the features of distance learning and identify the disadvantages and advantages of distance education for individual participants (parents, students, educators). The research used statistical methods: summarizing and grouping data and visualization methods for their presentation, the method of testing hypotheses using the chi-square criterion, as well as analysis of variance. Respondents evaluated the effectiveness of forms and means of distance learning for different age groups of secondary school students, in particular, the importance for the educational institution of a unified learning platform, resources, partnership, individual choice of forms and methods of distance learning by the teacher, reasonable workload, weekly planning. Educators evaluate the existing measures to improve the effectiveness of distance learning higher than students and parents. In general, parents' assessment of the effectiveness of remote forms and means is the lowest. The study identified gender characteristics of views on the quality of distance learning. In addition, the survey participants, based on their experience, outlined a vision for the future of the educational system.

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Based on the standard of specialized education in the field of science, developed guidelines for the creation of educational programs. The organizational features of the educational program in the conditions of integration of formal and non-formal education, requirements to the obligatory results of training of applicants for mastering research competence, tools of internal quality assurance of education in the institution of specialized education are revealed. For institutions of specialized scientific education

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