The following study examined the relationship among children's perceiving styles of their competence, the teachers' perceptions of the children's competence, and the children's cognitive performance. One hundred kindergartners were asked to rate their own cognitive and physical competences. Then, they were classified into three groups: 1) uniformly very high self-rating group;2) moderately high self-rating g roup; and 3) more or less negative self-evaluation group. Teachers rated the children on the same variables. The conservation task and perspective-taking task were given to each child in order to measure their cognitive performance. The results indicated that (1) moderately high self-evaluation group received high score from the teacher, with the smallest gap between child's and teachers' rating ; (2) moderately high group also scored highest on the above both cognitive tasks ; (3) many children of uniformly very high self-rating group and negative self evaluation group transferred to moderately high evaluation group when retested six months later. The findings were discussed from the view point of preoperational egocentric nature.