Questions about the identification of mathematically gifted students

This article gives an overview of questions on diagnostics and procedures of high mathematical talent. Various methods such as intelligence tests, school achievement tests and checklists are presented and discussed. The conclusions favor multidimensional and multi-step approaches with a focus on special mathematical tests. As an example the approach of identifying children with a high mathematical potential used in the PriMa project at the University of Hamburg should illustrate an implementation of the issues raised.