Junior High School Math Problems Based On Problem-solving Self-monitoring Training

We knew that mathematical problem is the growing and the fundamental points of mathematical development, it can take root only in mathematical situation. The process of Mathematical problem-solving is always one of mathematical situations which researchers of educational psychology pay attention to. The goal of researching on mathematical problem-solving both at home and abroad is nothing else but to solve mathematical problems better and faster.During the new curriculum reform in our country, one of mathematics new class signs is mathematical question-posing by middle-school students, however it is indicated that the ability of question-posing by Chinese students is inferior to American students. We have carried on a sample investigation to the junior middle school students of grade one, which showed the consciousness of junior middle school students' Mathematical question-posing is weak, they have no desire or habit and they are lacking of strategies to raise questions.raising Mathematical question under self-supervision of problem-solving must take mathematics question as the active situation, take question situation as the starting point, take self-supervision of problem solving as the principal means.The goal that middle-school students have new questions in the process of knowledge-learning is to improve student's question consciousness and inquiry ability gradually on the basis of raising the self-supervision on problem-solving, and develop their thinking flexibility and the innovation.Next, raising Mathematical question under self-supervision of problem-solving is not carried on independently, but through the whole process of mathematics problem solving, which is not only for solution of each concrete question but also for the process of creative mathematical question's discovery. This process is to grasp and apply various knowledge and situations during mathematical problem-solving.This article takes the method of parallel contrast experiment on the basis of summarizing literatures, simulates the form of table about how to solve problem" and works out " Thought Adjustment Prompt List about training self-controlling on problem-solving " and two sets of examinations of question-raising. We also carry on the training about self-supervision on problem-solving to students of some class in Weinan experimental Junior middle school in order to explore efficient device which can enhance the middle-school students' mathematical question consciousness and the mathematical question-posing ability. The result indicated:1.The results of junior high pupils' mathematical question consciousness is generally low, the results of self-supervision on problem-solving is not high, many students have no habits of self-controlling.2.The junior high pupils' self-supervision on problem-solving and the mathematical question consciousness exist remarkable positive correlation.3. The training method used "the list of self-controlling on problem-solving" may improve student s'result of self-supervision on problem-solving effectively.4. We have confirmed that the training of self-supervision on problem-solving can enhance junior high pupil s'mathematical question consciousness in some degree, simultaneously confirmed that the training can contribute to enhance question's quantity and quality and so on.This article altogether has five parts, the first part described mathematical-study status quo of junior middle school students, and proposed plans which will be studied in our article, the second part summarized the informed research between mathematical question-posing and self-controlling on problem-solving, which are the foundation of this research, the third part was main method of this research, the fourth part was the result and the analysis of this research, the fifth part was this research conclusion.This study has theoretical and practical significances. The theoretical significance lies in that the training of self-supervision on problem-solving is also one efficient device with which the students may enhance the their mathematical question consciousness, though there have so many researches about mathematical question-posing.The practical significance lies in, to the junior high pupils, the training of self-supervision on problem-solving not only can integrally improve quantity of student's mathematical question, simultaneously it also has certain function of reviewing and recollecting student's principal points, moreover, self-supervision on problem-solving is also a new way in cultivating their abilities to learn by their-self.