I love this question so much. I think what you said "Is it a teacher who admits that they don't know it all, they don't have all the answers, but nevertheless they are willing to learn with their students?" is a huge part of it. In addition, as I reflect on my own teaching, I notice that because I am imperfect and am acquainted with suffering and repentance. Therefore, I can externalize that process for my students, for my children. I think all learning is a form of repentance in one way or another and involves a certain amount of suffering or struggle. It makes me think of what Virgil was to Dante.