The purpose of this paper is to present a new approach to support distant human collaboration under tangible environments. Our aim is not to build and transmit across the distant tables an accurate and complete description of the human activity. Rather, our choice is to restrict communication to the possibilities offered by the tangible tables (tangible object moves and virtual feedback). In this context, we propose to focus on the elicitation and sharing of the norms and conventions that frame human activity, a core issue to sustain proper collaboration. We promote in this perspective the design of a normative multiagent system, whose goal is to emulate the influence of these norms on distant cooperation, thus bringing mutual awareness to the human partners. The role of such system is (i) to represent these potentially heterogeneous and evolving systems of norms in a declarative and distributed way, (ii) to filter the interpretation and communication of human activity according to these norms, and (iii) to build an informed virtual feedback providing information about the conformity of action with respect to the conventions. An application to the RISK game is presented to exemplify the proposed approach.