She spent her evenings 'tutoring' her son in math. [=helping her son study math]
Some teachers stay after school to 'tutor' [='coach'] struggling students.
She earned extra money 'tutoring' in the evening.
(..) Serozha, I'm coming to get you! Where are you? Serozha! Where are you? How are you, young man? Your tutor doesn't seem to be in evidence. Yah! Alexei. You got away at last. Can you stay? Why? Go and find Vasily Lukich. (..)2012 Anna Karenina