The growing demand of society for highly qualified specialists in engineering and technical STEM actualizes the need to qualitatively improve their physical and mathematical training and create an innovative educational environment for the development of a SMART society. The purpose of the research is to scientifically substantiate, conceptualize and develop theoretical and methodological foundations for creating an innovative ECO environment for STEM. The main idea of the research is that the physical and mathematical training of future engineering and technical specialists in higher education institutions in the conditions of the ECO environment. To achieve this goal, the research uses the following methods: theoretical and comparative analysis; conceptualization and systematization of methodological approaches to the formation of an ECO environment in the context of STEM; empirical methods (questionnaires, surveys); experimental testing of the methodology for teaching STEM. The authors substantiate the theoretical and methodological foundations for the development of the ECO environment of STEM in the context of digital transformation and the formation of a SMART society. The key aspects of interdisciplinary innovations in teaching engineering and technical disciplines are highlighted, with an emphasis on the transdisciplinary approach as a fundamental principle of STEM. A methodology for the autonomization of the educational process has been developed, which involves rethinking the role of the teacher (from a translator of knowledge to an organizer and moderator of educational activities in the STEM environment). The authors see prospects for further research in detailing the methodology for teaching professionally oriented disciplines based on STREAM.