The Hidden Village (THV) is a motion-capture video game for investigating how physical movements foster mathematical thinking and proof practices based on principles of embodied cognition. Analysis of the interactions of students in an all-Limited English Proficiency Title 1 high school geometry classroom revealed ways simulated enactment and collaborative gestural co-construction of mathematical ideas can bridge language barriers. These informed a redesign of THV to support both individual and collaborative play, as well as a collection of authoring tools for players to create their own content and upload it to an online database shared by users worldwide. Players, teachers and learners can implement custom directed movements that could foster deeper mathematical understanding and engagement for them and their peers. [This chapter was published in: "Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education," edited by A. I. Sacristán et al., Cinvestav/AMIUTEM/PME-NA, 2020, pp. 2243-2251.]