The subject and objectives of the research are conditioned by the topicality of STEAM education and the need for STEAM competences, the integration of science basics, the formation of competences in pre-service teachers and students, the instruction of the scientific method in teaching, the study of STEAM teaching methods, the dynamically developing digital society, gaps in the job market for IT specialists. Adequate hypotheses were developed. The study utilized various research methodologies, such as a review of existing literature, specific experimental studies, and the creation of research instruments like a questionnaire and a self-assessment for STEAM competencies based on the Likert scale from 1 to 5. The participants comprised pedagogy students from the University of Silesia in Poland (US) and Borys Grinchenko Kyiv University in Ukraine (BGKU), along with both pre-service and in-service teachers. The findings present key research outcomes and offer recommendations for higher education institutions and pre-service teachers.