If algebra is truely neccessary, than it will be taught in some school specializing in basic education. If it is neccessary for higher mathematics to be taught, than you could just go to an engineering school.
If you're a truly care about pure mathematican, than you would go to an actual university and study to become part of the scholar class.
Beyond that, I don't really care much about being a "participatory citizen" nonsense because I don't believe in democracy or writing pointless letters to politicans, but I do care a lot about civic because I am an anarchist, not an apolitical person. I don't know the approriate place to teach it but I suspect that is simply the duty of parents.
Not all parents are created equal. The problem with giving parents educational responsibility is that it may disadvantage those who are outcasts in the society. Poor parents who are uninvolved with the political process would in turn disenfranchise their children. There should be some basic level of knowledge which everyone has in academic and social topics.
If you're a truly care about pure mathematican, than you would go to an actual university and study to become part of the scholar class.
Beyond that, I don't really care much about being a "participatory citizen" nonsense because I don't believe in democracy or writing pointless letters to politicans, but I do care a lot about civic because I am an anarchist, not an apolitical person. I don't know the approriate place to teach it but I suspect that is simply the duty of parents.