There seems to be a huge amount of confusion in this thread. If you have an Android version that allows moving apps to the external SD card, a portion of moveable apps does go to the SD card when you check that option for the app. As best I can tell, the entire app, including both the executable code and the app data, does not move, and it's mostly app data that moves. The people saying that nothing goes to the SD card are, in a word, wrong. If you make careful notes of phone storage info. before and after "moving" an app you can see that there's been a change. What actually happens when moving an app may not be what you expect from the concept of moving apps to the SD card, but it does reduce the data load on the phone's internal memory.
I can't believe how arrogant you are stating that everyone who reports this error are wrong.
Seing as this problem definitly exists, the one persion contributing to the confusion is you.
I am on a stock, unrooted Samsung Galaxy S3 running Android 4.3, and am having the exact same issue as reported by several other users.
My phone recently updated from 4.1.2 to 4.3, and with it came the option to move apps to external SD.
I tried moving many apps, upon which my phone states they were transferred successfully, and reflected the change in the individual app's storage overview.
Observing that my free memory had not increased however, i used ES File Explorer to investigate.
I found that not a single byte had been written to the external SD (with one possible exception, see below), and all files remained on sdCard0, ie. the phone's internal memory.
I also noticed a new "partition" that I haven't seen before, named "emulated", which contained two folders with identical content and size, one named "legacy" and one named "0". They, in turn, are both identical to the sdCard0 "partition", meaning that for some reason, "emulated" displays the exact content of the phone's internal memory in two different folders.
Finally, I noticed that my LOST.dir folder on the external SD card seemed unusually large (9.1 GB!).
Seing as that folder is for corrupted data, I deleted its content.
Now, when I try and launch any of the moved apps, I get an error saying it has stopped working.
Allthewhile, the amount stored on the internal and external cards haven't changed, respectively.