Practice And Research On The Improvement Of Mathematical Thinking Ability Of Senior High School Students

In this paper, we first review the relationship between internal cognitive structure, problem representation and meta cognition and mathematical thinking, and that in teaching practice can be starting from these three aspects to improve the students’ mathematical thinking ability. In order to objectively understand students existing level of mathematics thinking, we the sampling investigation and study, in order to provide a basis for the follow-up study of this topic.On the basis of the above, this paper integrated modern education science and Psychology (such as cognitive structure theory, pattern recognition, information processing theory, constructivism theory, metacognitive theory and so on), in the teaching practice and explore is conducive to improving and perfecting the students’ cognitive structure, is conducive to enhancing students ability and improve students’ problem representation element the cognitive level of some specific practical measures. To improve the students’cognitive structure, this paper proposes to improve and improve the knowledge structure, the increase of effective knowledge and optimization to solve the problem or reconstruction of a stereoscopic system "," strengthen problem-solving strategy awareness, enhance problem-solving flexibility "in improving measures; students’metacognitive level, put forward to enhance students’representation of diversity" and "strengthen the graphic chart representation of mathematical structure can Force "," strengthening the ability to model or schema representation of mathematical problem "measures; in improving students’meta cognitive level proposed" to stimulate students’Metacognitive Awareness "," to strengthen the students’ metacognitive experience "," teachers show thinking process to improve students’ metacognitive level "," mutual interpretation mathematical problems to improve students’ metacognitive level "," through the reflection problem solving process improve metacognitive level "measures.In the course of the study, we also performed the corresponding teaching experiment, the results of research will be actively involved in teaching practice。The results of teaching experiment on the teaching of the two parallel classes that, based on the academic performance of students and students in all levels of competition awards, to draw the measures in improving the students’mathematical thinking ability has a notable effect. According to the results of this study。We also give the some teaching suggestions.