If teachers do not interact with their students at all, the students will suffer both academically and socially. When it comes to suffering in social terms, younger students will suffer much more than older students such as those who are in high school.
Younger students, in particular, will suffer if their teachers do not interact with them. For younger students, teachers can be important role models. This can be true to some degree for teachers in high school as well. If teachers do not interact with their students, the students lose the chance to learn how to interact with adults. They also come to feel as if they are not valued by adults who are at least somewhat important to them. This will hurt them socially.
Academically, the damage will be important as well. If teachers do not interact with students, the students will feel less motivation to learn. If teachers do not interact with students, the students will also have a very hard time getting answers to their questions or getting further explanations that will help them to understand the material that they are being taught. In both cases, students’ academic performance is likely to suffer.
Thus, a lack of interaction can be harmful to students both in academic and in social terms.