The Senior Middle-school Students' Obstaclas In Mathematical Thinking And Strategics In Thinking Transfer

The study of mathematical thinking obstacles of the senior middle school students is of great significance to enhance actual effect of mathematical teaching.Traditional education puts center on teachers and -books. This results in the authoritative tendency and the book tendency in thought. The condition limits the thoughts of the students and causes thinking obstacles to a degree. Quality education puts forward a new requisition that not only lets students master knowledge, but also puts attention to mental development and ability improvement, especially thinking abilities. However, the key of deepening students thought and conquering thought obstacles lies in the guidance of teachers. Under teachers' guidance, students can explore effective methods and ways of overcoming thinking obstacles.The article discusses mathematical learning ideas, theory of knowledge and psychology of constructivism as theoretical basis in studying mathematical thinking obstacles. Mathematical constructive activity is a mathematics abstract process and a process if developing and deepening uninterruptedly. Only students "construct and self -examine" and "self-examine and construct" continuously, can they construct knowledge accurately and master knowledge completely. On the contrary they will form thinking obstacles. According to Burner's knowledge development theory, learning itself is a process of cognition. When students understand knowledge insufficiency and partially, they will produce thinking obstacles in solving problems. The effect, which a kind of study has, is called transference, in psychology. According to the nature and effect of transference, psychologists generally divide it into positive transference and negative transference. To make full use of transference may help students overcome thinking obstacles and improve thinking ability. The article probes into the formal factor of mathematical thinking obstacles from three aspects: meta-cognition, thinking tendency, and process knowledge of mathematical activity.The other reason of forming thought obstacles is negative effect of thought tendency. Being affected by their former mathematical knowledge and successful experiences, students lack right cognition to the nature attribute of new conception and knowledge. Besides that, they will be affected by some factors. For example, habit, the function fixity of things, visual sense interference, non-intelligence factors and so on. All these will produce thinking obstacles.According to the thinking characteristics and malleability of senior middle school students, the article raises some specific steps, which can solve students' thought obstacles.