We compare the scheme for educational dialogue analysis (SEDA) to the actor-network theory (ANT) for the analysis of educational dialogues. We show that ANT unearths the socio-material structure of classroom talk as networks in which human and non-human actors (texts, diagrams, instructions, etc.) exert power on each other. The application of ANT to classroom talk led us to identify (non-)dialogic networks when human actors are not subordinated (resp. subordinated) to other actors. Roles in networks are not predetermined but translated in interactions, and networks are often blackboxed, as the original process and circumstances of their creation might be ignored. We show then that the adoption of ANT (resp. SEDA) uncovers phenomena that SEDA (resp. ANT) did not identify. SEDA helps observe the co-construction of ideas and describe shifts from the dialogic to the non-dialogic but does not explain the mechanisms that lead to these shifts. ANT explains shifts from one network to another, as it conveys the change of power relations between the different actors, role of non-human actors, and shows how they shape the dynamics of networks in classroom talk. We draw from this comparison implications both for research and educational practice in dialogic education.