What is preventing you from teaching that? Why do you need tables to explain how nitrogen goes into and out of tissues as divers descend and ascend? Why can't you explain how a computer measures that?
because there is no easy visual...
without breaking out the tissue compartment charts, there is nothing that shows where a diver is on a chart of any sort...
you are essentially left with telling them that the deeper you go, the faster you absorb nitrogen, and the shallower you are, the slower you absorb nitrogen, which holds true, but is not the way many people think of it... no matter what it seems, without some sort of chart, people (even experienced divers even) don't see the correlation with why it takes so much more time for a diver with more time at less depth than it takes for a diver with less time at greater depth... a quick for instance, if you will... if you spend half of your maximum dive time (PADI table) at 100 feet (10 minutes), then it takes 1:28 minutes to become an A diver, and in 4:28 minutes, your body is completely washed of nitrogen, per the table, at least, and you start your next dive as if you hadn't been diving that day. However, if you use half of your maximum dive time at 40 feet (70 minutes), it takes 2:31 minutes to become an A diver, and 5:31 minutes to become washed completely, per table again. So, without getting into tissue compartments and charts, the tables are an easy way for someone to visually see the ins and outs.
Here's another great example... With my computer, I have dived to the no decompression limits, and beyond. Doing a single deep dive, I find that I am washed of nitrogen, according to the computer at least, usually later on in the day, sometimes late that evening. However, if I do multiple, easy, shallow dives, I sometimes find myself with nitrogen still in my system well into the next day, even though I never even got close to my ndl's... It's almost as though you have to tell a diver to "just trust the computer" without giving them any information as to how it works...
Now that I think about it, it is probably easier to teach the tables than it is to try and explain why a dive computer works the way it does without the tables.
Generally, I find that once a student learns the tables, showing them how a computer works (I usually let them dive one on dive 3 or 4 of check out dives) is relatively simple, and they then understand the "why."
One great argument given is that many students simply don't retain the tables. I have nothing to argue with against that, because I do see it all the time. Given current training standards and the way most people dive (just a few times a year), I don't see a way to remedy this.