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This paper investigates a co-design process involving researchers and teachers aiming to modify an educational game that supports and assesses spatial reasoning, geometry standards, and persistence. Utilizing Epistemic Network Analysis (ENA), we evaluated this process based on the established co-design principles from the relevant literature: fostering a collaborative environment, centering on teachers' daily practices, and promoting hands-on experiences. Our analysis reveals a strong alignment between these principles and the observed discourse in co-design sessions, albeit a notable gap in positive affect emerged. Our research validates how these principles can be embodied in a co-design process and demonstrates affordances of ENA in evaluating dynamic social processes like co-design.