This paper reports on the teaching of integrated STEM disciplines at the officially best school for creative and talented students of the Russian Federation. The paper shares how the success of this integration and the advancement of STEM education and research within the school is due to historical, cultural, and national practices of fostering creativity and giftedness at the pre-college level. Signature pedagogy of using concrete problems as a motivation for the study of abstract ideas is discussed. The merit of using traditional skills in mathematics in the digital era is demonstrated in the integrated context of entrance examination to the school and the modern-day digital technology. Several examples of research-oriented projects completed by the students at the school are presented.