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Teacher-student interaction is pivotal in classroom pedagogy, contributing positively to students' academic performance. To evaluate classroom teacher-student interaction more objectively, recent research has turned to the concept of teacher-student inter-brain coupling, a promising indicator of interpersonal interaction dynamics. This study investigates the neurophysiological mechanisms underlying teacher-student interaction, utilizing the measure of inter-brain coupling to predict students' academic achievements. The outcomes reveal an inverse correlation between teacher-student brain coupling values and test scores, as well as a positive correlation between shifts in brain coupling values and changes in test scores. These findings underscore the potential of using brain coupling values as a criterion for evaluating the quality and assessing real-time interaction dynamics of teacher-student interaction.