I'm not familiar with Stuyvesant, TJHSST and the like. The best Russian schools follow the Konstantinov [1] tradition of "listki" (handouts), where each student is essentially guided to re-invent the math curriculum by solving problems. There're no textbooks or lectures. You solve problems from the handouts at your own pace and discuss them with a TA when ready (typically volunteers from among former graduates of the same school).