I'm just like you in the morning, but I was asked to keep a dream journal for a creative writing class. I was sure it wouldn't work, but it did.

Put the journal (opened to the right page) and pen right beside your bed where you can't miss it when you wake up. Write down anything that's in your head, even if it's just, "I don't remember anything." Eventually, you'll start remembering dreams vividly and be able to write them down.

Or at least this seems to work for most people. I have no idea why. Of course, it probably doesn't work for everyone. But then again, what does?