부른다는

부른다는

"부른다는" means "to say that [someone] calls" or "to state that [someone] calls."

Here, '부른다는' functions as a quoted phrase form, explaining the reason for their argument.

그들은 그녀를 부른다는 이유로 논쟁을 벌였다.

They argued because of the reason that they called her.

In this usage, '부른다는' introduces the content of the rumor, embedding the quote within the sentence.

그가 나를 부른다는 소문을 들었다.

I heard a rumor that he calls me.

This demonstrates '부른다는' describing the action that leads to breaking the rules.

학생들은 선생님의 이름을 부른다는 행동으로 규칙을 어겼다.

The students broke the rules by the act of calling the teacher's name.