Stewarding the commoned means, and the practices of the commons, is one of the constitutive modes of practice in a commons. Aka governance.
In the meet.coop Handbook we address this under 'Assemblies and other venues of stewarding'. This three-way division of attention in the commons follows Bollier & Helfrich pattern language of commoning.
Here is a basic map of the commons, following Bollier & Helfrich.

Basic contributory practices in a commons