I think you nailed it, this is the insight I was looking for and wasn't able to express myself. I've had this experience in the medical field and it is true, certain practical stuff (surgery, soldering, etc) requires demonstration/feedback. Thanks.
Let me add one thing that I forgot to mention: do not miss playing a bit with analog electronics - such as operational amplifiers with gain fixed by a negative feedback loop, low pass filters, oscillators, etc. ('Enlightenment' for EEs starts here: http://en.wikipedia.org/wiki/Operational_amplifier#Non-inver... )
There's lots of fascinating systems/control theory that you can 'climb up' from there. You'll also find that part of what the body does is similar to those crude electronic systems. And a lot of the programmed digital control is emulation of the behavior of analog, but often with bells and whistles impossible in simple circuits.