I lump this into Gas Management. I know there are many people on this board that preach up and down about Gas Planning. There are even some great articles on this board about how to plan your gas.
But...
After reading those guide, I can't remember any of them really explaining how often your air pressure should be checked underwater. Sure, veteran divers don't need to check their air very often because they know how they breathe. Newer divers don't have a firm grasp on that yet.
Give me a tank with a random amount of air in it. I can attach my gear and enter the water without any gas planning. No matter what the volume of air is in the tank, I can guarantee you that I will make it back to the exit point safely and with some air to spare. Why? I monitor my air while underwater.
If you monitor your air underwater, there is never a reason (short of unexpected equipment failure) that you should ever be surprised by the amount of air left or ever run out of air.
Even most of the text books (from all agencies) gloss over this fact. Sure they mention "check your pressure gauge", but they never go into the frequency of checks.
This is one thing that I try to beat into the heads of my students. If you are monitoring your air, then you should never run out. It is plain and simple. There should never be a point for a new diver that they look down and see "OMG, I am at 500 PSI". Somewhere along the way they should have noted that they were at 2000, 1500, and 1000.
I do teach gas planning, but I spend more time on gas monitoring. I teach they should check their air pressure after any significant event. Gear up - check air. Hit the water - check air. Having problems clearing your ears - check air. Reached our depth - check air. Look at shark - check air. Water in the mask - check air (after clearing). Had to dump some air from the BC - check air. Checked out the seahorse - check air. In class, I want them to check their air each time the successfully complete a skill.
If the student is properly geared and streamlined, it should take mere seconds to check the air pressure. Nothing is being missed on the dive by frequent pressure checks.
Back to the question, most people don't teach any kind of air monitoring. The students are taught that a certain signal from the instructor means report your air pressure, but they are not taught to self monitor their remaining air.