In this paper we propose and introduce parametric design as a potential methodological basis for a shared computational representation schema that can support crowdsourcing design in a 'social motive' model of design. A 'social motive' model of design is multi-phase (Pre-design, Design, and Post-design) model of design that offers a new perception for obtaining and exploiting experiential feedback of society. We first introduce the theory and concepts of Crowdsourcing. In the following sections we propose a theoretical schema that demonstrates how information flow is shared in a holistic and compound model in various phases of design. Our digital design model and the conceptual structure represents computational design processes of informed design model; informing design about per-formative and physical environmental conditions as well as the experience and wisdom of the crowd which can be easily mapped to the pre-design; conceptual design; and post-design. Finally we illustrate, demonstrate and discuss how by exploiting the concept of the parametric schema as a common representational formalism, the wisdom of the crowd can potentially be integrated to inform processes of digital design generation, adaptation and change in the various phases of design in order to improve design.