Prepping for class

One of my unsolved problems as an instructor of digital history is managing the readings that I assign. Not, of course (!) in the sense of getting the reading done. But because I have assigned almost all digital materials, I am doing my reading on the computer. Which, in this case, is the laptop I work with at home. I have not figured out how I as the instructor should manage the readings when we talk about them in class. I do make a practice of pulling them up on the class computer and monitor so that we can all turn to the same "page" if necessary. But I can't idly and subtly look through an article for a particular passage without making it patently obvious to the students that I am not attending wholly to what they are saying. I could possibly have the readings on a second laptop in class, but then I as an instructor will be sitting behind a wall of screens, dividing myself from my class.

I wonder how other professors deal with this problem.