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The research aims to investigate the influence of teacher-related variables on students' psychological and behavioral characteristics, ultimately impacting their academic success in math. This study, involving 540 students from two IB schools in Jeju, South Korea, utilized structural equation modeling (SEM) analysis to explore complex relationships. The findings highlight the untapped potential within the non-private lesson group in the IB education program, addressing concerns about the effectiveness of math private lessons in the Korean public education system and associated issues of educational inequality. Insights gained from this research can optimize math learning experiences, foster positive learning behaviors, ignite intrinsic motivation, and enhance math achievement among students.