If you come from a poor background in the US you can do quite well in the Educational system given enough time. You would start by going to a community college for the first 2 years of your university education, possibly obtaining an Associate's degree. At more prestigious 4-year, Research or private universities you will pay exorbitant tuition and be in larger classes with instructors who are primarily researchers or not exclusively teachers. At a community college, professional advancement is based entirely on teaching accomplishment, tuition is low and class sizes are small. The only problem is prestige. Community colleges are "where brown kids go to school", and as such they play a key role. It's a shame that they are so underappreciated.
However, if you do well at a community college you should be able to transfer to a 4-year state school and get some financial aid. Since American college students get mostly a general education in their first 2 years, it doesn't really matter that you got that at a community college. Then you can choose any major and graduate from the 4-year school in 2 or 2 1/2 years. Moreover, since these universities don't have graduate programs but the professors are evaluated on research as well as teaching, there are more opportunities for undergraduate research at a 4-year college than at a research university. Some of the best math educators in the US teach at 4-year colleges.
With a good degree from a 4-year state school and some undergraduate research you can get into a public research school for a master's degree with a scholarship or a teaching/research assistantship. Professors at these research intitutions are focused mostly on research and can be of world-class caliber even if the school is not very prestigious.
Now, with a master's degree from a public research university you can get anywhere: law school, medical school, or a Ph.D. program at UCLA or Berkeley, or the Ivy League.
It is a long and winding road, but it can be traversed. The problem is that, for many from depressed backgrounds, high school education is dismal and their community is so dysfunctional that going to a community college is out of the question. Smart kids from depressed backgrounds will tend to find a way in, though. guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper
I can't help this one last comment -- you've given a great overview of the higher education situation. My perception of the situation matches with everything you've written here with the exception of one small quibble about the smart kids from depressed backgrounds finding a way in -- that can be true and for the most part is true from merely depressed (marginal?) backgrounds.
Lower than that, though -- the kids from the hard backgrounds generally don't make it, even through high-school. Very rarely, exceptional kids make it. And I refer to exceptional in either intelligence, talent, or drive and fortitude. One of these usually is not enough and I think the fortitude is a required element. Maybe we can eventually make language a complete impediment to understanding. -Hobbes
I am somewhat not agreeing with your very last sentence though.
If smart kids from depressed backgrounds tend to find a way in, then I assume that statistically spoken, the smart kids from depressed backgrounds are either not proportionally correctly represented in numbers, or there are statistically speaking fewer smart kids in the population group coming from depressed background.
If the first were true, then it would means that there is no equal access or opportunity for them to get in, if the second were true, it would mean "depressed backgrounds" would have a genetic impact on your "smartness" genes. Well, I can't live with either of these conclusions.
Unequal access or opportunity comes in many forms. Children of affluent parents will go to college even if they are not as bright as many from working poor backgrounds who do not. There is also "white privilege" even if overt racial discrimination is not there, and so on. You shouldn't think of equal opportunity as either existing or not, because then you have to conclude either that it does not exist, or you find yourself blaming victims of social inequalities for their "free" bad life choices. Neither conclusion is acceptable, nor does it follow from the analysis. guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper