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We present an investigation of Integrated STEM learning in a 4th grade classroom. We report a study in which 4th-grade students used a distributed computing infrastructure (ViMAP-Tangible) in order to collaboratively invent “mathematical machines” for generating geometric shapes. ViMAP-Tangible combines the ViMAP visual programming language with a distributed computing infrastructure, in which students collaboratively control the behavior of a virtual agent, using both mechanical devices and agent-based programs that are connected to one another. The curricular activities integrate engineering practices such as user-centered design with agent-based computer programming and mathematical. We problematize the issues of user-testing and involvement of the user within an user-centered design process, and investigate their effects on children’s STEM learning.