You can use “way=byhead” to reset the counter with each section.

Wolfgang

It does not work (with ConTeXt ver: 2012.05.30): \defineenumeration[cool][text=Cool, way=byhead] \starttext \section{Cat} \subsection{Cat} \cool{} \cool{} \subsection{Cat} \cool{} \cool{} \section{Cat} \cool{} \cool{} Hello world! \stoptext