论文标题:数学开放题与创造性思维
The Open-ended Mathematical Problem and Creative Thinking
论文作者 连学云
论文导师 潘飚,论文学位 硕士,论文专业 教育
论文单位 福建师范大学,点击次数 246,论文页数 35页File Size1983k
2002-08-01论文网 http://www.lw23.com/lunwen_649467732/ 数学开放题;创造性思维
the open-ended mathematical problem,creative thinking
近二十年来，对数学开放题的结构与教学价值研究已逐步形成了一个热点。数学开放题由于其自身的开放性质，不再是方法唯一，答案唯一，这就吸引学生不依赖教师和课本，独立地去探索和发现问题的各种各样的答案，学生由知识的被动接受者转变为知识的主动发现者和探索者，保障了学生的主体地位，从而在利于学生自我意识和独立人格的形成，为培养学生的创新精神奠定了基础，对全面推进中学数学素质教育有重要意义。 本文在对数学开放题的研究基础上： 首先，阐述了中国数学教育的国际地位及文化背景，分析中国当前数学教育现状及其存在的一些问题，针对中国数学教育改革的方向，提出了数学开放题的研究的深远意义。 其次，总结了数学开放题的涵义、特征及其类型，阐述了数学开放题的教育价值。 第三，阐述了创造性思维的含义及其特征，并分析了产生创造性思维的条件。 最后，从培养能力的角度，数学开放题通过加强试题的开放性，留给学生更多的发挥空间，来激发学生的强烈的创造欲望。从培养学生发现和提出问题能力的角度，从培养学生直觉思维的角度，从培养学生形象思维的角度，从培养学生发散思维的角度，数学开放题能不失时机地激发和培养学生思维的积极性和创造性。
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.
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