The Research On The Theory And The Demonstration About The Character Of Mathematical Thinking

"Mathematics is a gym of thinking " "Mathematics is a science of thinking ". The education of math shoulders an important role in cultivating the thinking of mankind. But thinking is essentially a kind of mental activity of human being. This article is a researching of mathematic education about thinking. It aims at mathematic thinking from different levels, angles and aspects. Combining with the mathematics teaching in class, it will try to find out some rules to help mathematic teaching.The article is composed of three parts: The first is a theory research, it analyses the education of mathematic thinking and gives it an orientation. Thesecond is a researching about practice. From two exchange actions--"STUDY" of students and "TEACH" of teachers, it investigates the psychology of students to draw out the rules of math teaching which will benefit the students on progress of thinking. The third part is a researching experiment. It puts the foregoing studying results into teaching practice to confirm the validity and feasibility by comparing the fore-and-aft effect.