I'd like to write a dream journal but I find it hard to describe my dreams... of the dreams I recall there are no details and certainly no logic.
Even if I do recall a dream, it is hard for me to say when it began or ended and in what order things happened or remember details of the surroundings. I only remember parts of what I was doing, not why. And I find myself in places I've never seen before, even though I remember thinking in the dream that is was a familiar location.
Characters in the dreams are hardly ever only one person at the time, and I can't remember their faces at all. I seldom recall people saying anything, or at least not what it sounded like.
It is hard for me to imagine that my dreams can ever be clear or logical.
Is this normal? Is there something I can do to make my dreams clearer?

Also I read that we dream during REM sleep, and that it takes some time to get to the REM stage after you fall asleep.
But I experience dreaming ( not long dreams, only short episodes like grabbing something or saying something ) the moment I first loose consciousness at night. Those episodes make absolutely no sense at all, but seem very important at the time.
The second I become aware of that it is only a dream, it disappears and I forget about what I was doing.
I am really confused. I heard doing math before going to bed helps the brain to be logical when I fall asleep...does that work?