Are undergraduate research positions typically funded? If yes, why so - given that undergraduates do not have a lot to offer in terms of research outcomes? Also, which type of research positions are funded?
I ask this because, one wouldn't expect mathematics research opportunities (other than REUs, I guess) for undergraduates to be funded, right? Undergrads do not put a lot on the table, and more than adding any substantial value to the field via research, it is about gaining useful experience and making connections with professors in order to secure future LoRs. Do I have the right idea here, or am I missing something?
If we think specifically about pure mathematics, then quite a bit of the initial process before even trying to do any research is essentially directed reading. I wouldn't expect being paid for that either, just doesn't make sense. For computer science, though, (eg. machine learning), one can ask undergrads to do coding jobs and perhaps pay them for that.
Which undergraduate research positions are typically funded? How about pure math, applied math, and computer science (theoretical or applied) fields in particular? Why (and also which) should undergraduate research positions be funded in the first place, if at all?
Thanks for your valuable insights, in advance!
Clarification: By funded, I meant that the student researcher receives a monthly salary or stipend of some sort. Apologies if that wasn't the right term to use, but I hope that it's clearer now.