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Public computation has recently been proposed as a new form of open-ended, public learning environments where visitors (anyone) can directly access, modify and create complex and authentic scientific work through interacting with open source computing platforms. However, such ill-structured spaces exist in ways that do not provide easy opportunities for assessment of learning. This paper attempts to illustrate how we can productively analyze computational thinking in such ill-structured, heterogeneous, informal spaces by illustrating how the participants’ professional vision (Goodwin, 1994) shapes their experiences of computing and computational thinking.