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.
On Mon, Oct 29, 2012 at 12:49 PM, Robert Hansen <firstname.lastname@example.org> wrote:
> > On Oct 29, 2012, at 1:26 PM, Joe Niederberger <email@example.com> > wrote: > > > Clyde says: > >> The child who has already learned to calculate the area of a rectangle > is ready to *abstract* such proceedings by creating and using a FORMULA for > doing so ... perhaps LxW or BxA.. > > > > Oops! I forgot (regarding above): How about "length x width"? > > > > Joe N > > No, it can't be length x width, those are not letters. It has to be > letters. Don't you know algebra? > > Bob Hansen >
-- --Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State College of Denver