An extended mathematics metaphor:
Flowing
under the pre-K through high school curriculum, like the ever-widening
Mississippi, is a steady expansion of the number system and its
corresponding basic operations.
Important
milepost concepts and mathematical problems which are posed,
deconstructed and solved throughout those years are like the flatboats
and steamboats of Mark Twain's era which floated upon the Mississippi's
waters.
One
doesn't seek to control the river, because the number system and its
operations exist in nature, but we can select what floats on it and
where to travel. Choosing when and how to introduce concepts, what
problems to pose, and where they fit is the foremost responsibility of a
standards and curriculum developer.