After working a bit on a film in college, I started noticing cuts, and it started to drive me insane. It's one of those things that's largely inconsequential. I, as an audience member, am aware when a cut is made. But now, after doing a bit of editing, I notice just how many cuts there are. Conversely, I now have eternal admiration for scenes comprised of as few cuts as possible (cf. "Children of Men").
Cuts are not a bad thing though. They are a part of the rhythm of the narrative and when a movie is edited properly they are a device that binds and moves things.
Dissecting a movies cuts is always fascinating though. One of the Film Studies 101 exercises is to story-board the gas station explosion in The Birds. I like doing cut analysis on animated films, because they have to be so deliberate. Films are edited in a winnowing approach, but animation (because of the cost per frame) is edited first, then filled in second.
When I was doing a lot of editing in school my approach was to use markers first to set a beat for the mood of the piece (sometimes relating to music, a presence track or even just a bpm/heartbeat), and edit to that.
> I now have eternal admiration for scenes comprised of as few cuts as possible
Andrey Tarkovsky's films are awesome that way. A part of brain will keep track of the length - perhaps the same way as a music aficionado keeps track of the the current note and the starting note of a melody (or the way jvm keeps track of a stack trace).
http://en.wikipedia.org/wiki/Russian_Ark just took that to the extreme and made the whole movie in one long shot. It is interesting to watch just for that effect. The content is only interesting if you care or are familiar with Russian history.
Just a +1 for Children of Men - I wasn't that taken by the story but the way it was put together was phenomenal with lots of beautifully choreographed long shots.