Mathematics was a science that about thought.Constructive thought was a kind of individual recognition,which was used to be discovered and invented mathematical concepts,theorems,formulas,propositions and form relative mathematical thoughts and methods.The cultivation of constructive thought was contribute to cultivate creative thought,and promoted the understanding of the knowledge of mathematics.Comparing to our traditional way of education,we should pay more attention to the cultivation of constructive thought.Constructive thought include external constructive thought,internal constructive thought and dialectical constructive thought.