What does при mean? My hints say 'near, at, in

What does при mean? My hints say ‘near, at, in the presence of’ etc. What are some other examples this can be used? What would happen if I didn’t include this word in the appropriate contexts?

You’d better give the whole phrase, otherwise without the context it’s difficult to answer.
It can be in English ‘by’ , ‘in case of’:
При мне не было денег.
При хорошей погоде мы пойдем гулять.
При этом он нам ничего не сказал.

При изучении иностранных языков очень важно научится работать с новым текстом.

= at your studying, while you are studying, during your studying - differebnt translations are possible in this case.