Key points are not available for this paper at this time.
Daniel J. Povinelli, Keli R. Landau, Helen K. Perilloux, Self-Recognition in Young Children Using Delayed versus Live Feedback: Evidence of a Developmental Asynchrony, Child Development, Vol. 67, No. 4 (Aug., 1996), pp. 1540-1554
Povinelli et al. (Thu,) studied this question.