They mean, change activities until the pain is gone, then slowly return to light activities as tolerated. Further progress back to normal duties / activities as long as they remain pain free. Look at the aggravating activities and try to modify them to decrease the load on your tendon insertion. I.e. get an ergonomic assessment @ work etc. what activity causes you dramas?

What started the Wikipedia reference-linktennis elbow? If it is a sport, possibly try looking at your training / competitive schedule and modify it to allow greater time between the most stressful events / parts of the sport. Besically as per many soft tissue injuries, we want you to return to normal function as that will promote normal mechanics and decrease secondary changes (i.e. permanant scarring in the tendon in this case).

Regards,
Musculoman.