You are talking to a person who thinks games are dumbed down because you don't have to draw this on a piece of paper besides you :-P

Sorry, yes I should listen to you lot and go watch someone else play the game for me. And there is a vast difference between drawing a landmass (which used to come printed on a cloth map or paper) to mapping out certain areas of a game and making notes - which was what the original point of the post was, the title isn't, do you draw every pixel of the game on paper.

a) Games have massively more complex maps than they used to when you used to be forced to draw maps. This is a map from Dungeon Master. This is a map from Doom. Here's an overhead view of town from Skyrim. Modern games often make full use of z-axis, rooms overlapping on it, that kind of stuff.
b) Games minimize trivial tasks. I play games for challenge, story and exploration. Watching someone play them is boring, but so is doing menial tasks. Drawing a map is not a challenge, it's not a part of exploration, it's not a part of figuring a story in any way. It's just a waste of my time. I mean, damn games for allowing you to hold down a key on your keyboard to go forward as opposed to repeatedly pressing it, dem dumbed down games playing themselves!
c) What stops you from just not pressing the <tab> key or whatever your map key is and just drawing the map yourself? I mean, you'd stop very soon given more complex architecture of modern games and act of drawing maps not being in any way challenging or rewarding in and of itself, but nobody's stopping you from doing that.

I think taking notes and drawing maps is part of immersion which makes playing games fun. However, I hardly ever draw maps myself, because I have no problems navigating in dungeons (I played EOB without making one, for example). In Ultima Underworld I only called the map to mark something important, like where I dumped my equipment. I find it regrettable that most newer games are dumbed down and steal the challenge and the fun from the player.

Sometimes I take notes. Adventure games especially. But mostly I play a few games at a time so it's not too hard to remember things. Taking notes breaks immersion for me and forces me to realize that I'm not really in the game, so I don't like doing it.

Now that my game library is huge, I probably will start a gaming log just so I can remember my progress in my games.