Offering Choice in Homework
In the research by Erika Patall students were given a choice of which homework assignments to do, not a choice of whether or not to do homework as the example from Insoo Kim Berg would suggest. I think giving students a choice of homework assignment A, B or C is effective as they will think of those choices instead of the usual options of doing it or not doing it.
http://solutionfocusedchange.blogspot.com/2010/11/advantages-of-giving-students-choice-in.html