On Oct 30, 2012, at 12:58 AM, Louis Talman <firstname.lastname@example.org> wrote:
> Traditional algebra requires letters. But words are symbols, too. Use of words is no reason to say a kid isn't doing algebra---after all, the beginning of algebra is the replacement of numbers with symbols for arbitrary numbers.
1. It was a joke. Letters, words or blanks, all good, as long as point (2) is met. 2. Algebra is a form of reasoning.
Also, children don't understand "replacement of numbers with symbols for arbitrary numbers".
If my several clues of the form "Children don't understand X" don't make sense then add a couple words as in...