On Thu, Oct 25, 2012 at 1:12 AM, Robert Hansen <email@example.com> wrote: > > On Oct 24, 2012, at 7:55 PM, Paul Tanner <firstname.lastname@example.org> wrote: > > See the links I gave to all those past posts of mine. > > > I did see the links, that is why we are talking about pretending to teach > children algebra. My question was, if the student can't see arithmetic, why > do you think they can see algebra? It appears that you are trying to use a > rote trick just to get the student through the topic, and all teachers > probably face this situation with students that struggle. However, they > pretend to teach algebra during algebra, not arithmetic. Should I call you > lesson "pretending to teach arithmetic" instead? > > Bob Hansen
You may not be aware of Caleb Gattegno's way of teach "algebra first" using colored rods (Cuisenaire) and color-coded letter expressions.
The expressions could be concretely tied to the blocks and the letters were mnemonics for colors. I'm not sure if color blindness was a barrier.
He had empirical / measurable success with his system, published a series of books, did studies and was influential.
Gattegno founded the equivalent of the NCTM in the UK. He was not an unknown.