iPad won't move icons into folders in iTunes
I have iOS 6.1.3 on my iPad and iTunes 11.0.3 (42) on my Mac which is running OS X 10.8.3.
I downloaded some new apps to the iPad directly which put their icons on one of the screens. In the past, I have plugged the iPad to my Mac and, using iTunes, moved the icons to different screens on the iPad, putting them into various folders I had created for different types of apps. However, something has happened to stop this from working. I select the icons and move them to the locations I want them to go and press Sync. The sync process initiates and iTunes says it completes but the icons don't move on the iPad.
I'm assuming something has gotten corrupted that is stopping this from happening. How can I get the iPad to properly respond to the sync in iTunes and move my apps?
iPad, OS X Mountain Lion, 4 Gb of RAM