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Miss Susan wore black, which the headmistress disapproved of but could do nothing about because black was, well, a respectable colour. She was young, but with an indefinable air of age about her. She wore her hair, which was blond-white with one black streak, in a tight bun. The headmistress disapproved of that, too - it suggested an Archaic Image of Teaching, she said, with the assurance of someone who could pronounce a capital letter. But she didn't ever dare disapprove of the way Miss Susan moved, because Miss Susan moved like a tiger.
It was in fact always very hard to disapprove of Miss Susan in her presence, because if you did she gave you a Look. It was not in any way a threatening look. It was cool and calm. You just didn't want to see it again.
The Look worked in the classroom, too.

Take homework, another Archaic Practice the headmistress was ineffectually Against. No dog ever ate the homework of one of Miss Susan's students, because there was something about Miss Susan that went home with them; instead the dog brought them a pen and watched imploringly while they finished it. Miss Susan seemed to have an unerring instinct for spotting laziness and effort, too. Contrary to the headmistress's instructions, Miss Susan did not let the children do what they liked. She let them do what she liked. It had turned out to be a lot more interesting for everyone.

Susan did an unusual thing, and listened. That's not an easy task for a teacher.

The teacher part of her, which had eyes in the back of its head, caught the blur of movement

There was something pleasant about an empty classroom. Of course, as any teacher would point out, one nice thing was that there were no children in it, and particularly no Jason.

'
1.And, er, what are you, Miss Susan?'
'Me? I'm... a schoolteacher.'
She followed his gaze to the wrench that she still held in her hand, and shrugged.
'It can get pretty rough at break time, can it?' said Lobsang.
…'Just a minute,' said Lobsang. 'Who are you? Time has stopped, the world is given over to... fairy tales and monsters, and there's a schoolteacher walking around?'
'Best kind of person to have,' said Susan. 'We don't like silliness. Anyway, I told you. I've inherited certain talents.'

2.'So I said to the man, I said, "What now?" and he said, "Is that any business of yours?" and I said he could be damn sure it was my business and he could look me in the eye and I'd speak my mind to anyone. But I was thinking, you're in trouble now, Mrs Ogg, 'cos it'd all gone myffic.'
'Mythic?' said schoolteacher Susan.

3.'Oh. Good. Intelligent use of the materials to hand,' said Susan weakly. Then the teacher within her cut in and added, 'I hope you brought enough for everybody.'