To me they are a planning/perception tool. My computer is a diving tool.
This is exactly why I'm still teaching both in the OW course. I don't believe we should be diving with tables anno 2013 but I find them handy as a tool for teaching certain concepts. The key is that we need to keep focused on teaching the underlying concepts related to the tables (ie, the "what") and avoid putting too much emphasis on the HOW. The "how" is an historical curiosity, but the "what" is rather important.
Regarding "perception": I've seen a fair number of students who could plan a dive just fine using the tables but had no clue whatsoever about decompression theory.
One such example was a young man (I think he was 13) who I took over from another instructor to do his module 5 theory and the final test. While running through the knowledge reviews I noticed that he was doing the table questions in a way that could only be described as mechanically... so I gave him a few scenarios that were not in the book and at every step asked him "why".
For example,
"what is the NDL at 18 metres"?
He would say "56 minutes".
"why is that important"?
"you can't dive longer than that"
"why not?"
"I don't know."
"What group are you after a dive for X number of minutes at Y depth"
"R"
"and after a 3 hour surface interval"?
"A"
"And what goes on during the surface interval?"
"You go from R to A"
"And what is happening in your body during that time? "
"I don't know"
etc. etc.
And every time I probed under the mechanical way he was doing it, he hit a wall and had no clue whatsoever WHY any of what he was doing was important, other than that the instructor told him he had to.
So I declined to give him the test and sent him home with a list of questions that he had to answer before the next lesson and then got the shop to book another theory lesson for him. His mother was HACKED because I didn't give him the test and his other instructor didn't understand what my problem was. He said, "could he have answered the questions on the exam correctly"? I confirmed that I thought he could. .... "then that's all you need to do".
The point of this post being, without boring you too much, is that
(a) teaching tables does not mean that someone learns anything much about deco theory
(b) teaching deco theory *can* be done using the tables as one tool to transfer *some* of that knowledge, but understanding deco theory is more important than understanding the tables, especially since everyone is now using computers.
R..