The postdoctoral fellowship afforded an opportunity for the author to engage in an intensive year of training and research in structural learning at the University of Pennsylvania and Standford University. The basic research goal was to clarify some of the fundamental problems involved in the teaching and learning of subject matters and the…

This report describes research conducted regarding the development of a precise scientific language called the "Set-Function" Language (SFL) which was formulated in terms of sets and functions. The SFL retains many of the basic aspects of cognitive formulations but also provides more rigor than most of the other scientific languages. The SFL…