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This study explores micro-models of student disengagement in a digital reading and listening app for elementary students. We compared several models based on response times to questions and delays between tasks. These models were validated using measures of response accuracy, on-task reading behavior, and book preferences. Results showed varying effectiveness among the models, with some demonstrating significant differences between engaged and disengaged states. The study serves as a foundation for developing more comprehensive engagement models that can capture the multifaceted nature of student engagement and potentially inform real-time interventions while maintaining interpretability and theoretical grounding.