The curricular support for your ideas exists today, but the public school system isn’t interested. My kids attended Montessori Schools through about third grade. The elementary school was a combined class spanning six grades, with about thirty pupils. Its curriculum consisted of a set of graded materials which could be worked through independently. Each morning, there was a group meeting where the day’s written assignments were published. Each student had an individual set of tasks. (Example: Johnny…Math, Unit 2.1.125; History, 2.6.34; Literature, 2.5.28). The students then worked on their own assignments. If they needed a desk or a computer, there were some of those available. The teacher, not having to lecture, was available to circulate and help individuals with their lessons. If your kid was good at math, he could rip through the math curriculum as fast as he could take it. With some help from EPGY, my older boy wound up studying Calculus in the 9th grade in a public school. The boys are both in engineering now, at good universities. So this is known to work, but the public school folks fear it.
