What's the relationship between Elaine and her teachers and professors throughout her growing up?

While Elaine disliked some of her teachers, she did enjoy positive interactions with others. On the whole, Elaine remained emotionally detached from her teachers, even those who took the trouble to treat her kindly.
One of Elaine's teachers was Miss Lumley, who was said to rule by fear. Miss Lumley never sent "children to the principal for the strap." Instead, she meted out physical punishment herself. Elaine characterizes Miss Lumley as "terrifying." Miss Lumley is contrasted with Miss Stuart, who enjoyed drawings of foreigners and foreign lands in art class.
Yet, despite Miss Stuart's openness towards foreign cultures, Elaine does not paint her in a completely positive light. Miss Stuart could be mercurial; if she disliked a drawing from a student, she would mock the student's efforts in front of the whole class. As a result, Elaine often lived in fear of disappointing Miss Stuart. Yet, Elaine appreciated that Miss Stuart could be discreet when the situation called for it.
Despite her reservations about Miss Stuart, Elaine remembers her in a largely positive light. Towards the end of the book, we discover that Elaine has memorialized Miss Stuart in a painting (along with Mr. Banerji and Miss Finestein). The painting of the three teachers is called Three Muses:

To them I was incidental, their kindness to me casual and minor; I'm sure they didn't give it a second thought, or have any idea of what it meant. But, why shouldn't I reward them, if I feel like it? Play God, translate them into glory, in the afterlife of paint? Not that they'll ever know. They must be dead by now, or elderly. Elsewhere.

Elaine remembers that each teacher made an impact on her life, but she dismisses their interest as coincidental. She imagines that they do not think of her today. By painting them as the Three Graces, she recognizes their contributions to her childhood. However, she remains largely detached from them and is almost dismissive in the way she characterizes them. So, Elaine's relationship with her teachers during her childhood was largely ambivalent. While she enjoyed positive interactions with a few, there is little indication that she became emotionally attached to any of them.