Don’t Fall into the Calculus Trap

That transition is smoothed by exposing students to complex problems in simpler areas of study, such as basic number theory or geometry, rather than giving them their first taste of complicated arguments when they’re learning a more advanced subject like group theory or the calculus of complex variables. Going from “top student in my algebra class” to “top student in my college calculus class” is not a great improvement. Other options students have are to become involved in extracurricular programs, such as math teams.

Source: artofproblemsolving.com