Theory of CPFS Frame in Mathematics Learning

The schema that all equiralent definitions to a mathematical concept was called a concept field about concept C. The schema of concept network that these concepts had some mathematical abstract relation was called concept system. The schema composed by a group of equivalent propositions was said to proposition field. In a set of propositions if an arbitrary proposition at least had a deducing relation with any other one, then this set of propositions was called a proposition system. Concept field, concept system, proposition field and proposition system (they were noted as CPFS frame) was an accurately description of cognitive structure of mathematics, they reflected a especial psychology phenomena in mathematics learning.