This is the 1104th most frequent Polish word.
okiem
"By the eye" or "through the eye (of)."
In this sentence, 'okiem' refers to using one's physical eye for seeing in a singular manner.
Spojrzałam na niego jednym okiem.
I glanced at him with one eye.
Here, 'okiem' metaphorically represents a perspective or viewpoint, specifically that of a teacher.
Patrząc na sprawę okiem nauczyciela, problem wydaje się łatwiejszy do rozwiązania.
Looking at the matter through the eye of a teacher, the problem seems easier to solve.
In this context, 'okiem' functions idiomatically as part of the expression 'rzuć okiem,' meaning to take a quick look.