supervising

(noun) management by overseeing the performance or operation of a person or group. Synonyms: supervision, superintendence, oversight.

(verb) watch and direct. Synonyms: oversee, supervise, superintend, manage. Example: "Who is overseeing this project?."

(verb) keep tabs on; keep an eye on; keep under surveillance. Synonyms: monitor, supervise. Examples: "We are monitoring the air quality." "The police monitor the suspect's moves."