This article summarises the results of an investigation, in which a fast functional prototype design was created and implemented, based on the Bridging Design Prototype [BDP] method proposed by Gómez and Tamblyn. The BDP of an interaction model to learn the tables of multiplication through the game was implemented in a second primary basic classroom, both by students and teachers, in class activities. The focus was on studying how this prototype enhances the development of mathematical thinking skills while learning tables by playing. The method used in research was rapid ethnography, allowing observation in mathematics teaching.