> 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