In this theoretical essay, we find inspiration in Lotman's semiotics, in Morìn's sociology of education, the studies of cultural psychology and psychoanalysis of Valsiner and De Luca Picione, and other cultural stimuli coming from the didactics of mathematics. The notion of boundary and liminality was developed and discussed to grasp a relationship between some psychological processes and some transformative aspects of educational processes. Our idea is that an interdisciplinarity education could help orient disciplinary resources towards common educational goals and acquire the skills necessary for each student to be a citizen of the glocal community.