This paper describes part of a broader research aimed to investigate the feasibility of using an e-learning platform to implement a Vygotskian educational model for mathematics education, based on mediation and peer interactions. We define a Learning Activity model within a Digital Interactive Storytelling in Mathematics and report how it has been implemented with Moodle. The activity uses both experiential and discursive approaches to mathematics learning and exploits individual and social tasks. We discuss from a qualitative point of view the outcomes of an early experimentation put into practice in order to validate the model and give evidence of some occurrences that suggested us some adjustments to the template.