The first of a three-part series examines major issues which underlie curriculum extension for exceptionally able students in the United Kingdom including rapid pace of instruction, social interaction, and needs of the gifted disadvantaged. Provided are three case studies that illustrate unsatisfactory learning experiences of preadolescent and…

First examines issues in the identification of mathematically gifted children in the context of V. A. Krutetskii's categories of mathematical ability developed in his 1976 work, "The Psychology of Mathematical Abilities in Schoolchildren." A case study model is then offered which involves continuous and interactive identification and…