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Nowadays, there is a huge demand for group-based learning (GBL) pedagogies, involving learners in so-called "active" and "rich" pedagogies. We describe the basis of a meta-model to support the design of computer-supported GBL processes and scenarios. Such proposal is related with recent innovative developments in the e-learning domain: Educational Modeling Languages (EMLs) and CSCL scripts. An EML provides a framework of elements that supports the description of any design of a teaching-learning experience in a formal way, involving learning participants, resources, tasks, scenarios, etc. CSCL scripts are proposed as tasks processes that aim to facilitate GBL by specifying tasks in collaborative settings, eventually sequencing these tasks and assigning them to learners. Therefore, pedagogical designs may be processed by appropriate software engines to enact them, providing automatic management and coordination of the involved elements. The meta-model proposed in this paper is conceived as an initial step to create a new EML.