Abstract
This paper is about an eight-year project for bridging the gap between theory
and the classroom. As Dewey has written, "Theory is in the end ... the most
practical of all things". The process of developing a theory is a lengthy one;
but producing a practical embodiment is at least as lengthy; and we still have
to get people to use it, and use it sensibly. This paper will give a pinhead
introduction to the theory; a brief outline of the process by which a practical
embodiment has been developed; and will describe how these classroom
activities are currently being used not only for helping children to learn
mathematics with understanding, but also for the professional development
of teachers.
RICHARD R. SKEMP