This paper presents the objectives, design principles and structure of a project for the integration of STEAM in the classroom. It reviews the fundamental causes that have limited until now this integration in pioneer countries such as the United States or the United Kingdom. This project describes three proposals: 1) a fundamental modernization of STEAM, from traditional algebra-based model to a computational-based model; 2) a learning methodology based on the cognitive scope of the human mind, that we labeled Inertial Learning; and 3) a methodology, based on computational environments, called computational ecosystems, to address the three limitations of algebraic-STEAM: school curriculum; human cognition; and computation in complex systems. Finally, it details some implementation aspects of the project, including an academic social network