Results of slope as outcomes model.

The belief in a just world (BJW) is perceived as an individual trait that aids in coping with challenges. This study employed Mplus8.0 and HLM6.08 to analyze 346 questionnaire responses, leading to the following conclusions: (1) BJW shows a positive correlation with academic engagement among college art majors; (2) Academic resilience mediates the relationship between BJW and academic engagement for college art majors; (3) The teacher-student relationship (TSR) exhibits a positive correlation with academic engagement among college art majors; (4) TSR functions as a moderator in the relationship between BJW and academic engagement among college art majors. These findings provide valuable insights for enhancing learning efficiency and talent development in art schools, thereby contributing to the overall quality of education for art students.