As I am slowly starting to look through files from last year, I found this worksheet a colleague made that I thought was really great. Students had to check their homework answers by matching them up with the corresponding problem number. This happened to be on properties of exponents but I am sure you could use this for many other assignments. When students did not find a match, it opened up an opportunity for discussion and working with each other ensued. It is getting me to think about how I need to vary checking in the homework every day and do a better job at that this year instead of my standard walk around the room and look at it approach. I actually like my standard approach but I wonder what I miss out on learning from my students if I were to mix it up and try collecting a problem or two every once and awhile, give a homework quiz, etc.
Here is the document so you can see what I am talking about. Do you have a different way to assess homework? I would love to hear it.