Is this normal?

I am in no way good at lucid dreaming, however, lately I have been having very weird things happen. This has been happening for about the past 3 months, usually during the weekends (when I can sleep in).

Basically I have a really interesting dream, so much so that when I wake up, I want to fall back asleep and continue the dream. When I go back to sleep, I think about reentering the dream, and I do! When I reenter the dream is always continued where it left off, and I am somewhat lucid.
note: I can only reenter the dream immediately after I wake up from it

My question is, is this normal? And how do I control these dreams so that when I go back into the dreams I am completely lucid.

thanks

Yes, it is normal. Search for FILD in the forum, it will explain it to you.

To recall that you re-entered a dream is not that normal but action itself it is normal. I suggest you following the advice of TwilightDreamer.