As an alternative to the traditional practice of cultural history using a monothetic classification of material, creating “archaeological cultures”, a polythetic culture model based on Strauss´s social worlds and Wenger´s communities of practice is proposed, which better represents the archaeological record dated to the 3rd millennium BC in Central Europe. Based on this approach current migration models elaborated for the 3rd millennium in connection with aDNA evidence are re-evaluated. It is argued that the use of “archaeological cultures” misleads our understanding of population movements. Steppe ancestry, as representing migrants or their descendants, is not primarily connected to specific “cultures” such as the Corded Ware or the Bell Beaker, but rather to a specific social world, a new set of burial practices, i.e. the Late Neolithic complex of individual, gender-specific burials with strict rules of orientation. A strong expression of a new cosmological understanding, a specific set of values is the migration process, rather than specific pottery styles, specific weapons or specific tool types. Including the differential patterns of material culture in the archaeological record results in suggestions of different scenarios of population mixing and social change.