Rethinking on Understanding in Mathematics

The knowledge was divided into the declarative knowledge and the procedural knowledge in psychology. In this paper, the mathematical knowledge was divided into two kinds: the resultant knowledge and the processions knowledge. The resultant knowledge included the declarative knowledge and the procedural knowledge. Thus, understanding in mathematics ought to include understanding to three kinds of knowledge. The essence of understand in the declarative knowledge was that learner could obtain a schema, the essence of understand in the procedural knowledge was that learner could set up production system, and the essence of understand in the processions knowledge was that learner could gain the representation of relation and the representation of idea.