Is there an app which will show what I am doing on my S III, on my PC?

I need to record a training course for staff and recording the screen while talking makes for a very easy way for people to learn.

Your assistance would be appreciated

If you are wanting to pre record your actions and have root, the best app is screencast:
https://play.google.com/store/apps/details?id=com.ms.screencast

Without root, take a look at this app:
http://www.mightypocket.com/2010/08/android-screenshots-screen-capture-screen-cast/

Thanks everyone I will try that.

PS. I did not know the S III had been rooted. Can someone post a link and I will follow up on that.

Thanks again! :o