This study aims to define contemporary museum education not merely as the transmission of information, but as a process of “relational becoming” that induces ontological change through the interaction between the self and the world. To this end, the study reinterprets the essence of museum experience by synthesizing John Dewey’s theory of “An Experience” with Tim Ingold’s concept of “Correspondence.” The intersection of these two theories allows for an understanding of the museum experience not as static contemplation, but as a practical act within a “meshwork,” where the viewer creates life while being entangled with the environment and others. Based on this theoretical framework, the study analyzes case studies from the Tate Modern, MoMA, MMCA (National Museum of Modern and Contemporary Art, Korea), and Suwon City Manseok Exhibition Hall to explore specific ways in which explanation-centered education is transforming into “dialogic correspondence” and “embodied cognition.” In particular, by demonstrating that the methods of participation and communication in each case align with these philosophical principles, the study concretizes the practical applicability of the theory. The findings confirm that museum education functions as a “transformative space” that promotes self-reconstruction beyond knowledge acquisition. Consequently, the study suggests practical directions for “relational becoming” for future art education.