Yes, you're right, in the meaning, I think "She likes the teacher" and "The teachers is pleasing her", are the same thing, in fine.
Why is it "ei" and not "eam"?
Eam would be the accusative. So this verb accept a complement in the dative I guess!
Edit: oh, I see, this verb is considered as intransitive. Now I understand!
As an intransitive, it cannot accept an accusative, but accepts a dative complement. The teacher pleases to her. So, it's like studere...
in fine - in the end - “s/he likes the teacher” and more literally “the teacher is pleasing to her/him” amount to the same thing. I think it comes down to how closely you want the translation to mirror the original.
Transitive verbs have a direct object: eg “the teacher praises her” and the object is in the accusative case: “magister eam laudat” Intransitive verbs like placet don’t have direct objects so instead you have a kind of work around: “the teacher is pleasing to her” so “magister ei placet”
Hi!!! Yes you're correct. ei is the dative for is, ea, id. Since you can't really determine the gender because of the lack of information, it's safe to say he, she, or, I suppose, they as a singular gender-neutral pronoun. The thing I don't like about Duolingo's Latin course is that it doesn't directly supply you with the charts for a new pronoun, noun, or verb. It's kind of scattered. I learned Latin with straight up information, more doing. (Obviously we did learning activities, but memorization is important.) I can list all forms for a lot of words in Latin but English is much simpler... he, him The words- I just realized I went too deep into word forms. Anyways, if you are ever confused regarding forms of a demonstrative pronoun or any other word in Latin, I suggest latin-is-simple.com. This got me through translating a lot of Frozen songs, just saying. Be careful as it is contributed to by public users (most stuff is checked, don't worry toooo much) Have fun Latin-ing!!