I have the same problem. .
It used to happen in all Vista flavours, but with updates to Quicktime/Vista it only happens now in Vista 64-bit.
I get around it by either:
1. View your tutorials in Firefox running in XP compatibility mode. This results in the Aero feature being disabled when Quicktime runs, then you can see the controls as normal. Let me know if you need help doing this.
2. Run your browser in a 32-bit OS in a virtual machine - I use an XP guest in VirtualBox. You could use Linux if you don't have a spare Windows licence.
3. I run the tutorial on my 32-bit laptop and use my 64-bit desktop for everything else. Best for me because I can run the associated program - e.g. Photoshop in a bigger window than if I'm running the tutorial on the same machine.