For mainstream theories, memory is a skull-bound activity consisting of encoding, storing and retrieving representations. Conversely, unorthodox perspectives proposed that memory is an extended process that includes material resources. This article explains why neither representationalist nor classical extended stances do justice to the active and constitutive role of material culture for cognition. From Material Engagement Theory, we propose an alternative enactive, ecological, extended and semiotic viewpoint for which remembering is a way of materially engaging with and through things. Specifically, we suggest that one remembers when one updates their interactions with the world, a form of engagement previously acquired through sociomaterial practices. Moreover, we argue that things are full-fledged memories, since they accumulate and bring forth how we have materially engaged with them over different timescales. Last, we highlight the need for studies considering the cognitive ecologies where remembering takes place in its full complexity.