Exactly my point Boulderjohn, notwithstanding your curiously strange conclusion of a false analogy, and not advocating the use of dive tables as a basic applied reference for decompression theory and planning . . . again heuristically and from an Education & Learning perspective IMHO, I beg to differ: my analogy is valid.
I dipped back into the experiences I had years ago teaching grammar in an attempt to find the subjects, verbs, etc. in that construction that would help me understand your point, but I really don't know what you were actually saying there. Education and learning theory is my vocation, and I explained why your analogy was false. In reply, you simply said I was wrong and used the pejorative and insulting phrase "curiously strange conclusion" without any explanation of why my conclusion was curiously strange. Usually when one has a valid point of view, the response will be to explain why it is valid. When one responds instead with an insult and no content whatsoever, it is usually a sign that one does not have a valid response.
Ahh, but we all still learn arithmetic and math in school even though calculators ere the norm in classrooms, charges and change due is all calculated by machine at the grocery store, most everyone has an electronic device on him (phone) to figure out who owes what when dividing the bill in a restaurant, etc.
I will try again.
The analogy of arithmetic instruction/calculators v. tables/computers is not valid.
First, you must understand arithmetic to use a calculator. Arithmetic is a concept and is more closely analogous to decompression theory. Just as the calculator is a tool that helps a someone perform arithmetic, the dive computer is a tool that helps a diver calculate decompression needs. Just as you need to know arithmetic to use a calculator, you need to know decompression theory to use a dive computer effectively.
A more apt analogy would be to the abacus. There are two well known tools that help people perform arithmetic, the abacus and the calculator. One needs to understand arithmetic concepts to use either one, but you don't need to know how to use the abacus to use a calculator. Similarly, you need to know decompression theory in order to use both the tables and the dive computer, but you don't need to know how to use tables to use a dive computer.
A second point is that the ability to perform arithmetic functions without a calculator is an important skill that will continue to be needed throughout one's life. In its 2008 report, the National Math Panel quite correctly identified those needs in explaining why this is such a critical skill to master. In contrast, there is no independent need to use a table if one is using a dive computer.
I think the misunderstanding comes from the way many instructors have historically taught decompression theory. Many have taught it at the same time they teach how to use tables to calculate decompression needs. That leads people to make the natural mistake of assuming it is necessary to understand the tables in order to understand decompression theory. It is not.
I still teach tables (or the eRDPml, depending on what my students learned in their independent study) myself, but I teach decompression theory long before I reach that point in my class. My students understand how their bodies take on and release nitrogen long before we talk about how to measure and plan for that process. When I reach that point in my instruction, I could teach any method for calculating decompression needs-- tables, eRDP, or computer.
By the way, I do not use a computer with decompression diving on square profiles, but I do recognize it as a valid tool used safely by nearly all recreational divers.