There's another more fundamental issue with education at the high school level in the US: scheduling. Usually high school students go through 6 periods of 50 mi

There's another more fundamental issue with education at the high school level in the US: scheduling. Usually high school students go through 6 periods of 50 minutes each daily, often with one of them being a study period alternating with physical education. Putting the students truly curious about math, who usually make up a small percent of the students in the college bound math classes, and aligning them with a teacher capable of keeping them engaged is possible. The problem lies in having them attend their other subjects at a level appropriate to them. Keep in mind that each member of this subset of students may not be at the same level as their peers in other subjects. If these curious math students are not segregated out, which often happens, then a teacher has 20-30 good math students with a few being curious enough to be elite. Keeping the two distinct groups of that class engaged requires distinct lesson plans for each group. The goals of each day's lesson plan need to be met within no more than a 40 minute window - I'm being generous that taking attendance and assigning home work take up no more than 10 minutes of class time. I admit it's a worthwhile goal to have the curious math students more engaged. However, I don't see it being possible unless a more fundamental restructuring of high school education occurs. Perhaps have it structured more like a university schedule in which students take 3 subjects daily with each class being 1-1.5 hours.