The thing that stuck with me the most in this reading was that technology in math will help students learn main concepts without being caught up in the little details (as Danielle already laid out). In my opinion, this is SO important and I'd like to expand on it a little more.
Can you imagine learning how to factor and use the quadratic equation without using graphs to find the answers first? Thinking back on my high school math education, I can't imagine how much I would dislike math if I had to do all the busy work before using a graphing calculator. Using the graphing calculator allowed me to see the "macroprocedure," big picture, without having to put a pencil to paper. I could visualize what the tedious work would lead me to find; this gave the tedious work a purpose. If I had to do all the writing without picturing graphically what I was doing, I am almost positive I wouldn't have enjoyed it or done very well.
Also, in this way, those who learn by seeing the big picture first are aided; those who learn by doing the details are able to do so later through the tedious work.