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Our study explores the operationalization of Activity Theory toward the holistic framing of collaborative math learning activity in a social-technical context by breaking down group work into the six dimensions as found in the theory. We then map the electronic trace data generated by the collaborative software (Virtual Math Teams) with these dimensions and construct six measures. Next, a clustering algorithm is coded to categorize groups with similar participation performance, which allows us to consider the six indicators simultaneously. Last, in terms of the complexity of group learning in a socio-technical context, we discuss a web-based tool that shows assessment of groups and individuals in CSCL and thus provides teachers with a holistic and multi-perspectival view of group learning.