Sentences you wrote in Korean 춤을 배우다. 한국어를 공부하다. 다른 사람에 대해 알다/알아보다. 배우다 is to learn 공부하다 is to study 알다 is to know In English, learn has broad meaning, but in Korean it is more specified. 배우다 - when you learn from someone else(generally teacher) 공부하다 - when you study by yourself(when you are learning from a teacher, it should be 한국어를 배워요) 알다 - if you mean learn about some historical person it would be either 배우다 or 공부하다, but if not, then you're knowing/ trying to know someone else and in that case we use 알다/알아 보다 which means 'to know'. Do you get it now?