Sure, it's almost a cliché: it's not the tools, it's how you use them. Unlike you, I mostly just copy down the directions by rote (which leaves me in a world of trouble when I miss a turn). I would guess that there's a similar effect of technology on public understanding of mathematics: calculators and computers open up whole new worlds to people who like math (algorithms!---the Mandelbrot set!---&c.), but just serve as a crutch to others.