One strand of comparative didactics aims at discussing the relationships between the theoretical constructions developed within subject didactics and how these can contribute to research about teaching and learning. This article explores the relationships between categories for analysing joint actions of teacher and students (didactic contract, milieu, mesogenesis, topogenesis, chronogenesis) and categories used in the pragmatist approach of classroom discourse analysis (practical epistemology and epistemological moves). We combine both frameworks to feature different types of breaches in the didactic contract and the building of continuity in teaching and learning actions for dealing with these breaches. Analyses are carried out through examples of classroom events in science education and physical education. We argue that these frameworks, when elaborated on and compared, enable us to characterise both generic and specific dimensions of teaching and learning in different subjects.