The Open-ended Mathematical Problem And The Cultivation Of Students' Creative Thinking

Open-ended problems have obtained an extensive attention of mathematical educationists for a long period. Compare with traditional problems that have only one right answer even only one right solving way, open-ended problems are more used to develop students' creativity. To study open-ended problems can mobilize students' enthusiasm, arouse their interest of studying and expand their thinking. To study open-ended problems is beneficial for developing students' ability of creative thinking. This lays a solid foundation for the students' creativity and thus pushes a complete quality education.Based on the study on the open-ended problems, firstly, the thesis analyzes the investigative background of the open-ended mathematical problem and creative thinking, expatiates upon the feasibility and necessity to train students' creative thinking. Secondly, it sums up the definition, the characteristics and the type of open-ended mathematical problems. Also, it sets forth the education of it. Thirdly, it gives the meaning and the features of creative thinking and analyzes the conditions creative thinking comes from. Fourthly, from the point of view of cultivating the students' visualized thinking, imagine thinking, diffuse thinking and it ect which creative thinking form, it expatiates upon the open-ended problems are important material for train students' creative thinking. Finally, combined with examples and teaching practices, cultivating the creative thinking effectively using mathematic open-ended problem teaching is discussed in the thesis.