Comment Skip the bullshit (Score 1) 899
OK, seriously though we really don't need to make science about doing a whole crapload of partial derivatives by hand. These are problems that were solved in times past. What we need to do now is start kids extremely early on using MathCAD, MatLAB, or Maple to solve problems. A TI-89 can do all the crap they spent years teaching me. Just teach them to use software to solve interesting equations.
Taking the goal from lame mathematical memorizations to analyzing applicable situations will in itself boost interest in the sciences because kids might actually have a grasp of what a scientist actually does.