Clyde Greeno says: >Within the arithmetics of real numbers (and subordinate systems), the global (mx) meaning of "multiplications" is all about using using multipliers, m, as per-1 rates/slopes of the mx *proportions* through the origin ... "run" x, at the rate of m-per-+1 ... and the resulting value is mx.
>That describes grade-2 "multiplication" of Arabic digits ...
I see. You've taught second graders this way I presume. How did it go?