| With the rapid development of society and economy, and the movement of the new curriculum reform in the field of the basic education in our country work, the requirement of cultivating students’ ability of creative thinking is also gradually improving. Reverse thinking is a kind of creative thinking, which means that in normal circumstances, when handling the problem of learning or life, people tend to analyze and solve problems along the path of things development, which is usually called the stereotype, however, people rarely think from the reverse aspect of things.The reverse thinking can simplify the complex issues, only to get the unexpected result which can not be gotten from the stereotype thinking.In the mathematics teaching of middle school, if we can pay attention to the cultivation of students’ ability of converse thinking and explore a set of effective methods to cultivate students’ creative thinking, it will be of great importance to the development of mathematics education in our country as well as the promotion of cultivating students’ innovation ability.This dissertation consists of six part:In the first part, from the teaching of mathematics is the teaching of mathematical thinking activities, and people for the middle school students’ create thinking ability to the importance, on the topics of the background and significance to do a simple introduction; also to the domestic and foreign research on reverse thinking ability training as a review.The second part so as to promote the development of students’ creative ability and provide good solutions, tells the necessity of the cultivation of students ability of reverse thinking; from the cultivation of middle school students interest in learning and problem-solving methods, expounds the middle school students’ ability of converse thinking in mathematics teaching process of value.The third part is mainly from opposite, reverse, advance the three aspects toelaborate the strategy of reverse thinking in solving problems, for each strategy from the concrete examples to illustrate, about a problem specific analysis process.The fourth part is the investigation of middle school students’ ability of converse thinking analysis. First of all, teachers and students as a questionnaire to analyze present a training situation, after a period of observation and training, for students and teachers for further interview, understand their experience and ideas, and arrange some influencing factors.The fifth part tells the story of the pathways in the cultivation of converse thinking ability in mathematics teaching process, mainly from the mathematical definition, mathematical formulas, mathematical theorems and laws of aspects to elaborate the cultivation of reverse thinking ability; also from the reflection on the research and the specific teaching cases to elaborate reverse thinking ability promotion.The sixth part makes a conclusion from the research process and the results of this topic, and also expounds the existing problems and extensions. |