@georgeob1,
George, you completely missed the point. Let me try again.
Physics is based on
mathematics. There is a big difference between mathematics and arithmetic. You seem to be confusing the two.
Mathematics is a rich language used to express ideas and solve problems. Mathematics is the ability to think critically and creatively and to express new ideas. Someone who is good at mathematics will be able to come up with a new solution to a problem of a type they have never seen before. And, someone who is good at mathematics can hear or read someone else's new idea and be able to respond intelligently to support or question it.
Mathematics is not about memorizing tables or plugging numbers into pre-fabricated turn-the-crank processes.
When I taught (or studied) physics we focused on Mathematics (as opposed to arithmetic). There is a problem to be solved. What is important is the ability to formulate ideas and express them.
I majored in Physics in college. The further I got the less arithmetic there was (really after the first year in college we stopped calculating anything). My graduate courses presented us with hypothetical situations (i.e. a charged particle in a electromagnetic field) and had us come up with functions to describe their behavior. Again the focus was expressing ideas rather than turning the crank to get a number.
And, as an engineer I use lots of Mathematics and very little arithmetic. Recently I developed a new algorithm and was asked to defend it. I had never seen an algorithm like this before and had to express to my co-workers and managers how good it was. I told them it was O(NLogN) and we discussed this compared to other approaches. This was something I had to understand on the basis of my ideas without having memorized. And we never calculated a single number.
When we teach kids English, right away we present them books to read, and stories to write. The purpose of English is to express new ideas and be exposed to new ideas. Sure, we have spelling tests later... but in truth the practice of reading is far more important that spelling and yes kids can read long before they can spell.