What you describe is what we were taught in drivers' ed as "steer into the direction of the skid". If your back end is whipping out (oversteer) then turn to the

What you describe is what we were taught in drivers' ed as "steer into the direction of the skid". If your back end is whipping out (oversteer) then turn to the outside (the direction the wheels are skidding). If your front end is lagging into a turn (understeer) turn again toward the outside, which is the direction the wheels are skidding and will straighten them out to regain traction. Maybe that's what OP meant by "into the turn" (although as you point out, that is actually toward the outside of the turn).