Supervision (noun)

1. The action or process of overseeing or directing the progress of something.
2. The position of being in charge of and responsible for the work of a person or group.

Origin:

Late 17th century: from french supervision or latin supervisio(n-), from supervidere "oversee" (see supervise).

Examples:

1. The construction of the building was done under the supervision of the engineer.
2. The employees worked under the supervision of the manager.
3. The students were under the supervision of the teacher during the exam.
4. The team worked under the supervision of the supervisor.
5. The athletes were under the supervision of the coach during the training.