When it comes time for Matilda to be unsummoned, she says, "That was really fun! Thanks, Raha! Bye!"
The next day, in addition to her own notebook, she brings a book for the anthropologist; it's a comprehensive history of books and writing on Earth, from cuneiform and papyrus up through the printing press and the typewriter. It's not recent enough to discuss computers.
Also, there is a teenage girl with silvery hair present. If she were on Earth, apart from the hair she'd look southeast Asian. Terali introduces her. "Matilda, this is Fena; she's a dragon. Fena, this is Matilda. I don't think Fena has much time before she needs to go off to school herself, but there should be a chance to figure out a schedule."
"Hi," says Fena.
She does some calculations in her head, and then proposes a schedule to Fena that satisfies her constraints and doesn't conflict with the witchcraft lessons. Matilda is going to have a busy month.
Fena says, "I've never actually taught somebody a language beyond just a few words before. I think they picked me because all the other dragons in the country have, like, jobs."
(Her English is flawless and her accent precisely Matilda's.)
Matilda extracts more words from her, along with their spellings. Then sentences. It is a very productive lesson.
And Matilda is perfectly fine with learning languages from someone who has no idea how to teach them! Everyone wins.
Lessons continue. Raha is generally more impressed with Matilda's progress than Fena is (Fena turns out to be well over a century old and very vague on the concept of having to learn a language; she notes that the other girls at her school seem to have more trouble than this when they're studying Leraal or Vansalese or Munine or Kida, but seems to chalk it up entirely to smaller humans being better at language acquisition.) Raha gets through all the ingredients featured in the introductory recipe book, quizzes Matilda on them, and then lets her start working on the potions in the book. They're very assorted. She could make soap or confectioner's glaze or a headache cure or sunscreen or plant food or glue that will only set in the presence of a second potion and then bond permanently.
And then one day when she is summoned for her witchcraft lesson, she is clutching her notebook and bouncing excitedly.
"I did witchcraft on Earth! Well, not exactly," she says. "It didn't work quite the same way. But it was definitely magic! Now I want to test if I can do the same thing here! I hope it doesn't mess up learning real witchcraft, but it's still really exciting!"
"It didn't! Potions always worked at home, but making them never did! But then this morning I decided to try something again, and it worked! Except when I do it on Earth it feels more like when I do what you call sorcery. So I think it's my magic, or Earth's magic, I'm really not sure how distinct those things are yet. I think my magic learned how to do witchcraft."