College students were classified as either schematic for being a good problem solver (i.e., they believed they were very good in this area, and this ability was very important to their self-evaluation) or aschematic for this ability (i.e., they believed they had moderate ability in this area, and this ability was of moderate to low importance to their self-evaluation). In Study 1, schematic and aschematic Ss performed equally well in an initial problem-solving test; however, aschematic Ss did not enjoy the task and had negative possible selves related to logical ability active in working memory. In Study 2, aschematic Ss maintained competent performance on a problem-solving test only when given failure feedback on an earlier test. The results point to the importance of the self-concept in the development and maintenance of competence.