In order to cultivate pre-service teachers with core competencies that can actively and proactively responding to a changing society, the importance of the classroom teaching improvement of the university is emphasized. this study explored the structural relationship between teaching and assessment practice, basic psychological needs, academic engagement, and core competency perceived by the pre-service teacher in order to emphasize the importance of the pre-service teacher s core competency to cope with the future society. The subjects of study were 411 pre-service teachers of 4 university located in D and K Metropolitan City. A structural equation modelling was applied. The results are as follows. First, the instructional design of the instructor was found to have a significant effect on basic psychological needs, academic engagement, and core competencies. The autonomy support of the instructor was found to have a significant effect except for the core competencies. In addition, basic psychological needs were found to have a significant effect on academic engagement and core competencies, and academic engagement was also found to have a significant effect on core competencies. Second, the mediating effect of the basic psychological needs and academic engagement, and the dual mediating effect were found to be statistically significant in relation to the instructional design, autonomy support, and core competencies.