>>12839814Absolutely do 'research' as an undergrad, even if you feel like it bullshit or like you're not ready or it's a stupid project that won't go anywhere. Of course most undergrad research doesn't usually get published, and if it does, it's not generally very important, but grad schools really, really, really want to see that you are interested and capable of doing research, it doesn't have to be ground breaking. That could be as simple as an honors thesis, or some sort of self-directed study course (these are often offered to juniors and seniors), or something like an REU.
Also, just make sure you study shit that's interesting, and make sure you study a lot on your own (you probably won't get a lot of time during the semester/quarter, but during your breaks).
I would recommend taking as many courses in related disciplines as possible, microeconomics, mathematical biology, theoretical computer science, logic/philosophy, physics, etc. It will be interesting, first of all, and secondly, I actually found that these courses often taught me more about math than my actual math courses, just because the material was presented in a very different manner. A lot of math majors try to just take a bunch of math courses, and maybe some physics or statistics courses, but I would really recommend trying out any econ/biology and stuff like that, because the math feels a lot different from the stuff in a pure math or even a physics classroom.
If stuff ever gets hard and you feel discouraged, just keep pushing. Despite what you see in movies and shit, everyone struggle with math at times, even literal geniuses. Like I said, I had no plan of studying math, I was just taking the course because I knew I wanted to do some sort of STEM subject. I wasn't a 'natural' mathematician, but I just really liked learning more math, and I never wanted to stop.
Finally if you're at CC, try to take discrete math or linear algebra as soon as you're ready. They're the first 'real' math.