Comparison Of Application Problem-solving Approach Between Excellent Students And Poor Students In Rural Middle School

Solving word problems was the main factors affect the mathematics achievement,which was also the difference between excellent students and poor students. This study was based on previous studies, overall understanding of word problems, basic knowledge for problem solving and problem-solving process of influencing factors were studied, Finally, seven cognition and metacognition performance factors were studied. And obtained the causes and the difference in solving problems between excellent students and poor students.Experiment one studied the overall understanding of application questions. The majority of rural junior high school students could recognize the necessary knowledge and ability which would be used in solving word problems. However, it was different between different categories and grade. High school students and excellent students have a relatively clear and comprehensive understanding than lower grades and poor students.Second experiment studied the basic knowledge for solving application questions. Basic knowledge for solving word problems was not significant,Different grade is different in mastering the basic knowledge. But it is little difference in higher grades.The third experiment studied the various aspects differences of the process in solving. Excellent students was better than poor students in the aspects of memory and repeat,but it was no significant difference. Information representation, poor students mainly used direct conversion strategy, excellent students mainly used problem model strategy. Computing skills, there is significant differences between low grades,but the diffrence is reduced increasing with grades. Self-evaluation of excellent students performed better than poor students. Moreover,study found that by increasing the subject of additional information could effectively enhance the learning difficulties in memory, self-evaluation of performance.The fourth experiment studied the seven factors of cognitive and metacognitive. Correlation analysis in solving application problem was carried out, metacognitive factors were significantly, other factors were different in different grades. Using multiple regression and path analysis, all factors of rural junior high school students for different types of problem-solving performance, and established the corresponding stepwise regression prediction model.