The detection of real-time cognitive engagement during learning has long intrigued researchers in cognitive science and educational technology. In this study, we explore the potential of electroencephalography (EEG) as a tool to monitor “Aha! moments” - the sudden bursts of insight that signify conceptual breakthroughs. By integrating EEG data with adaptive learning systems, this paper proposes a novel framework for personalizing educational experiences in mobile environments. We conducted a user study with ten participants who solved mathematics problems while their EEG signals were monitored during moments of insight. Our results indicate distinct neural patterns, particularly in gamma-band oscillations observed in the frontal and parietal regions of the brain, associated with successful problem-solving and cognitive engagement. These findings highlight the promise of EEG in revolutionizing learning systems by providing real-time feedback on learners’ mental states. The applications of our findings also extend to professional training and human-computer interaction, suggesting a new frontier for adaptive technologies.