Anybody see a wand just laying around?

did anybody ever think about maybe what happened to Dumbledore's wand? Who in their right mind would forget about a wizard such as powerful as Dumbledore and didn't snap his wand in fact the wand isn't even mentioned after Malfoy just disarms Dumbledore. Why is this? Earlier in the book though Hagrid and Slughorn are singing a song that has to do with a wizard dying and breaking his wand in half and laying it in the casket to be buried with. What is up with that and then just not even mention it in Dumbldore's funeral? There is something fishy going on here. Something that we don't know. I think we can expect a huge surprise in the Deathly Hallows about what is going to happen.