I know you can view your unchecked tasks in the sidebar, but you aren't able to edit them (as far as I know) from there.
As a project manager of most of the dropbox papers I'm involved in, it would be nice to hide the checked items, to update/organize unchecked items for my own tasks and those of others.
I don't want to delete the strikethroughs because they often are connected to comments with info I need to reference.