In flexibly scheduled early childhood education and care (ECEC), the timing of care depends on parents' non-standard working hours. Multiple individual schedules and care times in a child group may cause irregularity in a child's daily structures, and a child may miss a standard hour's activities that are led by teachers with a pedagogical education. In this context, the significance and definition of pedagogy is vague and tensional. This study aimed at disclosing discursive tensions related to pedagogy in flexibly scheduled ECEC constructed in interviews by Finnish teachers and childcare nurses (n = 31). The analysis of the interview data followed the principles of discursive psychology. Consequently, three discursive tensions related to pedagogy were found: (1) children's right to learn vs. their need for care, (2) educators' educational background vs. personal strengths as a standpoint for pedagogical work and (3) pedagogy as standardised vs. meeting children's individual needs. As an implication, it appears problematic if we consider education and care as opposites. Instead, they should be viewed from a holistic pedagogical perspective, as each child has the right to high-quality pedagogy despite the timing of care. Moreover, children's individuality should be at the core of planning pedagogical activities.