Collocations for supervise - verb

carefully, closely, directly, strictly, well
The children will be closely supervised at all times.

fully, properly
The pool is fully supervised by trained staff.

adequately
personally
I will supervise the work personally.

internationally
a proposal for an internationally supervised ceasefire

appoint sb to
An executive officer was appointed to supervise the arrangements.

be responsible for supervising sth
He was directly responsible for supervising the loading of the containers.

Supervise is used with these nouns as the object:
election, implementation, operation, training, work