teacher is trying to make me write a general p.statement for a language course?

As above really, but to add you should consider using PS help on TSR

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No!!! Don't listen to her! You do what feels right and make sure your passion for the subject comes across. Your personal statement has to be personal to you (clue in the name) and you should talk about what attracts you to it and your motivation for wanting to study it. That's what really will convince the admissions tutors that you are the right person for the course and have the passion and a genuine interest. It shouldn't just be a list of skills everyone else will have from studying the same subjects. Nonetheless, it is useful to include a little bit on that but maybe just a small paragraph, a couple of sentences. It's better to name a skill you have, say where and how you developed it (this is evidence that you actually have this skill) and link it back to why it's an important skill for a geologist. And just leave it at that. Like I said there is no need to go on and on about this. Don't change your personal statement completely just for the sake of your teacher. After all they are not the one competing for a university place. As long as you're happy with it they have no right to make you write about something you don't want.

A general principle I'd follow is show not tell. Instead of explicitly saying "I work well in groups", try and come up with a situation that implies this but is related to your course.

would this work when i've explained how i've visited taiwan and helped taiwanese friends in a group to better their english for their studies?

In this case it doesn't necessarily sound like you are working together, but more that you are helping them, ie a one sided relationship.

What you are implying is that you are a helpful person and interested in developing people's language skills.

If you want to talk about team work I'd try and talk about some sort of 'project' you were involved in that required you to work together with others. If you can talk about overcoming a difficulty, that's even better as you are implying perseverance and tenacity.

You ideally want to be showing off all your amazing experiences to suggest that you have amazing traits. Don't be too subtle of course, but bluntness 'I work well in a team' is useless as it's a blanket statement and lacks sophistication (even if you back it up later).

By the way, I do english lit and I actually found that it hampers my ability to write these sort of things. English promotes a style of going deep into one thing, but you really don't have the space for that in a PS. The blunt writing style it promotes (where you are literally indicating 'im talking about structure now') makes other writing seem potentially messy.

Form tutors by the way are generally a bit clueless (from what I've found) about this. They are too used to writing generic statements that work for all subjects and their standards might be low if your form mates write poorly. Better ask someone higher up (head of year / head teacher / head of language department).