The conceptual level, working memory capacity and domain-specific skills of two girls (aged 7 and 11 years old) and two boys (aged 9 and 10 years old) who displayed exceptional intellectual performance were investigated from Case's neo-Piagetian theoretical perspective. Five measures of conceptual level and two measures of working memory capacity were administered. Data on domain-specific skills were obtained from the Stanford-Binet intelligence scale: fourth edition (SB IV), Woodcock-Johnson tests of achievement (WJ-ACH) and qualitative analyses of responses to the conceptual measures in the narrative and spatial domains. The results showed age-related performance on the conceptual measures; congruence between performance on the conceptual and working memory measures; and performance on the SB IV and WJ-ACH that greatly exceeded performance on the conceptual measures. These results are consistent with the results of studies on gifted children from the neo-Piagetian theoretical perspective.