In recent years, the adoption of technologies such as mobile devices or interactive furniture in education has opened up new opportunities for the generation of new collaborative learning experiences. The potential of these new technologies offer the possibility of combining formal with informal activities occurring in different spaces beyond the class. However, to orchestrate collaborative activities for assuring effective learning outcomes in such as type of scenarios is very complex. In the Computer Supported Collaborative Learning (CSCL) field, scripts have been proposed as the computational solution to guide and support interaction among learners so that it leads to effective learning. Different solutions and tools have been developed to provide support in the orchestration of collaborative practices for assuring effective learning. Nevertheless, in a blended learning scenario, in which online activities and face-to-face activities are combined the existing tooling is not flexible enough to tackle the necessities arising from the orchestration of the collaboration in these contexts. Specialized and interoperable tools should be developed for supporting collaborative blended learning scenarios. This paper aims at presenting the main research lines of a PhD thesis in progress focused on studying how to effectively support the orchestration of computer supported collaborative blended learning (CSCBL) focusing on the group management for providing support for the teacher and the learner, from edition to enactment.