It was determined that at the current stage the formation of pedagogical education is under the influence of the European integration process. It was noted that the fulfillment of the tasks of the Bologna reform led to the formation of long-term trends as a result of the reform of pedagogical education: the introduction of two cycles of study – Bachelor’s and Master’s; implementation of the credit-module system, based on the European Credit Transfer System (ECTS); promotion of European cooperation in ensuring the quality of education; activation of mobility of students, teachers, scientists, administrators; ensuring employment of graduates, as well as attractiveness and competitiveness. We emphasize the formation of trends as challenges of the XXI century. social and economic needs of the development of Ukraine. Among them, we single out: reforming the system of pedagogical education within higher education; modernization of the educational process, which led to changes in forms, methods, means, methods of knowledge transfer; introduction of European educational standards into the educational process of higher education institutions of Ukraine; introduction of distance education in the process of teacher training in connection with the COVID-19 pandemic. The peculiarities of the development of the trend of international cooperation, which is relevant in the period of the involvement of domestic higher education in the European educational space, are considered, using the example of the Ivan Franko National University of Lviv. At the current stage of the development of higher education, we observe the active participation of bachelors and masters in the educational programs «Erasmus Mundus», «Erasmus+», «Erasmus+ KA107», DAAD, short-term academic mobility programs. Training and internships for students at universities in Poland, Germany, the Czech Republic, involvement of teachers in conducting research at universities in the USA, the UK, Spain, Turkey, Poland, etc. countries contribute to the formation of the trend of development of international cooperation and activation of mobility. Keywords: trends in education, teacher education, Bologna process, international cooperation, academic mobility, education reform, modernization, globalization.
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