In the context of Group Investigation in e-learning environment, learning to work together productively as well as to interact socially and effectively in a group is a difficult task. A variety of skills, for example, interpersonal, problem solving, and study skills would be needed. It is also not uncommon to assume that learners would have acquired these skills and the processes of group work from their experiences on social interactions and discourse. Therefore, modeling of Group Investigation is one way to address this problem. This paper provides insights on using constructivist paradigm for instructional design that maximises the potential of Group Investigation to enhance e-learning. An on-line module on computer-based learning in chemistry is selected for illustration. Implications for design in science and technology education program and the data derived from the study of modeling process will be discussed.