Craft has emerged as an important reference point for human-computer interaction (HCI). To avoid a misrepresenting, all-encompassing application of craft to interaction design, this position paper first discerns craft from HCI. It develops material engagement and mediation as differentiating factors to reposition craft in relation to tangible interaction design. The aim is to clarify craft’s relation to interaction design and to open up new opportunities and questions that follow from this repositioning.