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This exploratory study explores how an all-women team elicits different aspects of computational thinking when solving a purposeful and meaningful model-eliciting activity (MEA) asking to develop an algorithm for a computer program. We used Situated Expectancy Value Theory as our theoretical lens to study each team participant’s utility subjective task value in their discourse related to different aspects of computational thinking. Epistemic Network Analysis was our tool to analyze and identify patterns in each participant’s discourse when solving. We found that all three women successfully elicited computational thinking. Each one gave value to the task, confirmed by their engagement in finding the solution to the MEA, and found utility value in looking for the best solution to the problem presented.