The Open-ended Mathematical Problem And Creative Thinking

The study on the stnicture and value in teaching of the open-ended mathematical problems has been a botspot during the past twenty years. An open-ended mathematical problem, to which there is not only one method to solve and not the only answer, draws the students' attention to think and find out the various answers to the problem by themselves instead of depending on their teachers and textbooks. Students are changed into the active thinkers and finders from the passive accepters. In this way studcnds are guaranteed to play the main role and helped to form their self-awareness and independence of their personalities. This lays a solid foundation for the students' creativity and thus pushes a complete quality educationBased on the study on the open-ended problems, firstly ,the thesis expatiates upon the international status and background of Chinese mathematicl teaching , and it analyzes the current situation and some problems in Chinese mathematicl teaching as well and sets forth the significance of the study on the open-ended problems according to the direction of China's educational reform in mathematical teaching. 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 . Finally, aiming at cultivating the students' ability, it discusses the possibilities to stimulate the students' creativity by strengthening the open-ended problems, which leave more room for the students to think. From the point of view of cultivating the students' ability to find out and set forth problems, form the point of view of cultivating the students' direct thinking, from the point of view of cultivating the students' visualized thinking, and also from the point of view of cultivating the students' diffuse thinking, open-ended problems can arouse the students' activity and creativity in thinking at every step.