This is the 17861st most frequent Russian word.
усмотрению
"At discretion" or "up to discretion."
In this sentence, 'усмотрение' refers to the personal judgment or decision-making authority of the teacher regarding the selection of teaching methods.
Выбор методов обучения оставлен на усмотрение преподавателя.
The choice of teaching methods is left to the discretion of the teacher.
Here, 'усмотрение' indicates the parents' individual ability or authority to decide how their children will participate.
На усмотрение родителей было предоставлено решение о форме участия детей.
The decision about the form of children's participation was left to the discretion of the parents.
In this sentence, 'усмотрение' describes the trust given to the manager to make decisions about project specifics.