The current anthropogenic climate crisis presents unique challenges to the higher education classroom. Pedagogy in the context of climate change must be attuned to complex and varied student experiences that can contend with feelings of anxiety, disconnection, distress and hopelessness. As educators and researchers, we collate our pedagogical approaches in the humanities and social sciences to progress ongoing discussions about climate pedagogy and highlight possibilities for action from Australia. Drawing on the inherent interconnectedness of our disciplines, we offer an interdisciplinary agenda for teaching in the climate crisis that is attuned to framing, positionality and reflexivity; multiple temporal and spatial scales; other ways of living and knowing; and creative action and activism to cultivate an affective classroom.