One important lesson I picked up from the ANZ incident is that it is important to check DME against altitude (not the other way round).
In other words you should say,
"We're now passing 1800ft, what should the DME be reading?"; instead of,
"We're now at 6DME, what should the altimeter be reading?"
The reason is that if you are inadvertently low, it may be dangerous to wait until a certain DME check point before verifying the altimeter reading.
For example: "We're now at 6DME, the altimeter should indicate 1800ft. Hey! It indicates only 1500ft! Why is that?.. -- >::Sound of impact::<
Far better to say, "We're now at 1800ft, the DME should indicate 6DME. Hey! It indicates 7DME! We must be too low! ::Sound of engine power increasing::
What does your company teach?