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Give this a shot and leave any bug reports in comments please :-)
 
Mirror for Android (beta)

Screencast your Android!

Mirror lets you:
 * Create a video recording of your Android
 * Mirror your Android screen to an Apple TV

To try Mirror beta, you need to do the following:

Root your Android 4.4.2 phone (not necessary in the future).

Join the ClockworkMod community:
https://plus.google.com/u/0/communities/106600237386074983231

Join the beta:
https://play.google.com/apps/testing/com.koushikdutta.mirror

Then download from Google Play:
https://play.google.com/store/apps/details?id=com.koushikdutta.mirror