In these pictures, I have been using slow shutter speeds with handholding the camera to introduce blur. My normal approach would include setting up my tripod and taking several bracketed images to find the right exposure or possibly exposures, one for the foreground and one for the dawn colors that I blend into a single image.
With the blurred images, I try to keep enough of the main subject recognizable while also trying to blend the clors together into a more abstract represenation of the scene. I think that color and patterns that I can acheive through moving the camera are the two most important aspects of creating a good image.
For the winter dawn shots, I wanted to include the bare trees. and I prefer the image where you can see a little of the bleak looking foreground.