Teaching is a process in which teachers impart knowledge and learning methods to students, and it is also a process in which students are educated in ideology and morality and cultivated.

Teaching is bound to carry out ideological and moral education, which is determined by the characteristics of teaching activities.

Every element that constitutes teaching activities contains extremely rich educational factors.

These educational factors play an objective role in ideological and moral education in teaching activities.

The teaching process must follow the law of the unity of knowledge imparting and ideological education.

From this point of view, in teaching, the process of students mastering knowledge is the process of teachers imparting knowledge and carrying out ideological education.

As Herbart said: I can't think of any education without teaching, just as conversely, I don't recognize any teaching without education.

Therefore, teaching is always education.

So the stem of the question is expressed correctly.