What am I losing if I decide to perform all math by computer? I solve mathematical problems every day, some by hand and some with the computer. I wonder: What will I lose if I start doing the mathematical problems only by computer? I've read this text  and the author says that as techonology progress happens, we should change our focus to things that are more important. (You can see his suggestions on what is more important, in the suggested text.)
I'm in search of something a little more deep than the conventional cataclysmic hypothesis: "What will you do when a EMP hit us?!" and also considering an environment without exams which also exclude the "Computers are not allowed in exams" answer.
This is of crucial importance to me because as I'm building some mathematical knowledge, I want to have a safe house in the future. I'm also open to references on this, I've asked something similar before and got a few indications.

Perhaps you'd be interested in the TED Talk by Wolfram.
http://www.youtube.com/watch?v=60OVlfAUPJg
There are more materials on the Wolfram web site.
HTH, as this is an area I have interest in and have often wondered how to change the way we explore, learn and interact with Mathematics.
