Look Inside my Crystal Ball
To their professor: They need to feel like the teacher is a real person who is really interested in the subject that they are teaching. This is hard hard hard online. I try to add personal detail to my classes, and let my students see my face (at least occasionally) despite my introverted desire to remain anonymous.
To each other: I just started doing peer editing again in my courses this semester. I've always hated online peer editing, but I've come to realize that it's necessary if I want my students to connect with one another. They need to be able to feel vulnerable by putting their writing out there. I also require a ton of interaction on discussion boards.
To the institution: I think institutions are getting better at this. I am in a group of moms whose babies were born all at the same time (August 2017). I have only met 2 women in the group in real life (one before the group and one as a result of the group). But, I feel connected to all of them. I think that people are growing more and more comfortable becoming a part of communities that exist (for them) only on the internet, and this is something that schools can really take advantage of.
I don't think online education is going away, but I don't think in classroom education is either.
If I could make a wish, and ask my crystal ball, what I want for education is for it to be reborn as something that is more respected in our society. I want education to be about learning- the student's willingness and openness to learning at the center. I don't want education to be a required step on any life path, but a place where we can learn to exchange ideas and grow by exposure to different viewpoints. I'm a bit of an educational idealist, but if I could make a wish, that would be it.