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This study addresses the need to prepare more women in computer-related fields. We examined girls’ and boys’ engagement in an open-ended modeling task that elicits computational thinking. Using Discourse Analysis [1] and Epistemic Network Analysis [2], we analyzed the relationship between cognitive engagement and computational thinking for both groups. We also analyzed the similarities and distinctions between both groups. Both teams were cognitively engaged in the problem-solving episode using all six characteristics of cognitive engagement. However, each team elicited computational thinking in different ways, with girls developing decomposition, abstraction, and patterns; whilst the boys developed abstraction and patterns with little mediation from decomposition.