高中数学折纸活动促进学生创造性思维品质养成的研究
发布时间：2018-07-17 16:53
【摘要】：数学折纸活动是一种与数学紧密结合的折纸活动。在高中数学教学中开展数学折纸活动,可以促进学生手与脑的协调统一,培养学生的创造性思维品质,即思维的流畅性、灵活性、独特性。首先,在理论研究方面,本文介绍了问题提出的背景、本研究的意义和价值,并对“折纸”、“数学折纸活动”、“创造性思维”给出了概念界定,叙述了数学折纸活动及创造性思维的研究现状。同时,本文论及利用折纸活动培养学生创造性思维的可行性,提出创造性思维品质与学生的逻辑思维能力及空间想象能力有密切关系,并以杜威的“从做中学”、建构主义等教育理论为支撑,为后续研究奠定了坚实的理论基础。其次,在调查研究方面,本文通过问卷的形式对山东师范大学附属中学高一年级6个班的学生进行调查,主要调查了学生对于数学折纸活动的认识,采集数据后分析得出,学生的逻辑思维能力以及空间想象能力都有较大的提升空间;大部分学生对于数学折纸活动的认识还比较片面,但总体对于开展数学折纸活动都持比较积极的态度。本文还对高一1、2两个班级的同学进行了创造性思维测试,作为实验的前测。在具体实验阶段,本文提出了利用数学折纸活动培养学生创造性思维品质的具体策略,包括课上渗透和组成兴趣小组、微视频等形式,并给出了具体的实施办法:将两个班分为实验班和对照班,实验班在数学教学中开展“数学折纸”活动,并在课下组成折纸活动兴趣小组,对照班则用相对传统教学模式进行教学。经过两个多月的实验教学之后,以后测的形式检测实施效果。对于两次测试的结果,本文借助Excel进行了数据统计,用SPSS统计软件进行了K-S检验、独立样本T检验,前后对比分析得出学生的流畅性还有待进一步改善,学生思维的灵活性、独特性都有明显提高。本文还结合大量折纸材料及高中教学实际,在借鉴的基础上进行了改造和创新,给出了数学折纸活动的教学案例,包括《指数函数》教学案例、《棱柱、棱锥和棱台的结构特征》教学案例、数学折纸活动习题课教学案例以及折纸微视频实录等。最后,本文总结了研究的结论及存在的不足,并对于后续研究提出了展望:增强数学折纸活动与数学教学的融合性;开发更具实践意义的教学资源;开辟利用折纸活动培养学生创造性思维品质的新途径等。
[Abstract]:Mathematical origami activity is an origami activity closely combined with mathematics. Developing the activity of origami in mathematics teaching in senior high school can promote the coordination and unification of students' hands and brains, and cultivate the students' creative thinking quality, that is, the fluency, flexibility and uniqueness of thinking. First of all, in the theoretical research, this paper introduces the background of the question, the significance and value of this study, and gives the definition of "origami", "mathematical origami activity" and "creative thinking". The present situation of research on mathematical origami activity and creative thinking is described. At the same time, this paper discusses the feasibility of using origami activities to cultivate students' creative thinking, and points out that the quality of creative thinking is closely related to students' logical thinking ability and spatial imagination ability. Constructivism and other educational theories have laid a solid theoretical foundation for further research. Secondly, in the aspect of investigation and research, this paper investigates the students of 6 classes in the first year of senior middle school affiliated to Shandong normal University by questionnaire, mainly investigates the students' understanding of the activity of mathematical origami, and analyses the data after collecting the data. The students' logical thinking ability and spatial imagination ability have great improvement space; most students have a one-sided understanding of mathematical origami activities, but generally have a more positive attitude towards the development of mathematical origami activities. This paper also tests the creative thinking of the students in the first and second classes of Senior one as the pretest of the experiment. In the specific experiment stage, this paper puts forward some specific strategies to cultivate students' creative thinking quality by using mathematical origami activities, including infiltration and formation of interest groups in class, micro-video, and so on. The specific implementation methods are given: the two classes are divided into experimental class and control class. The experimental class carries out "mathematical origami" activities in mathematics teaching, and forms an interest group of origami activities under the class. The contrast class uses the relative traditional teaching mode to carry on the teaching. After more than two months of experimental teaching, the implementation of the form of later testing. For the results of the two tests, this paper carries out data statistics with Excel, K-S test with SPSS statistical software, T test with independent samples, and the result of comparison and analysis shows that the fluency of students needs to be further improved, and the flexibility of students' thinking. The uniqueness has obviously improved. This paper also combines a large number of origami materials and the teaching practice of senior high school, on the basis of reference, it has carried on the transformation and the innovation, has given the mathematics origami activity teaching case, including the "exponential function" teaching case, < prism, Structure characteristics of Prism and Prism > Teaching case, Teaching case of Mathematical origami activity exercises and recording of origami Micro Video, etc. Finally, this paper summarizes the conclusions and shortcomings of the research, and puts forward the prospects for further research: to enhance the integration of mathematical origami activities and mathematics teaching, to develop more practical teaching resources; Open up a new way to cultivate students' creative thinking quality by using origami activities.
【学位授予单位】：山东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2130295
[Abstract]:Mathematical origami activity is an origami activity closely combined with mathematics. Developing the activity of origami in mathematics teaching in senior high school can promote the coordination and unification of students' hands and brains, and cultivate the students' creative thinking quality, that is, the fluency, flexibility and uniqueness of thinking. First of all, in the theoretical research, this paper introduces the background of the question, the significance and value of this study, and gives the definition of "origami", "mathematical origami activity" and "creative thinking". The present situation of research on mathematical origami activity and creative thinking is described. At the same time, this paper discusses the feasibility of using origami activities to cultivate students' creative thinking, and points out that the quality of creative thinking is closely related to students' logical thinking ability and spatial imagination ability. Constructivism and other educational theories have laid a solid theoretical foundation for further research. Secondly, in the aspect of investigation and research, this paper investigates the students of 6 classes in the first year of senior middle school affiliated to Shandong normal University by questionnaire, mainly investigates the students' understanding of the activity of mathematical origami, and analyses the data after collecting the data. The students' logical thinking ability and spatial imagination ability have great improvement space; most students have a one-sided understanding of mathematical origami activities, but generally have a more positive attitude towards the development of mathematical origami activities. This paper also tests the creative thinking of the students in the first and second classes of Senior one as the pretest of the experiment. In the specific experiment stage, this paper puts forward some specific strategies to cultivate students' creative thinking quality by using mathematical origami activities, including infiltration and formation of interest groups in class, micro-video, and so on. The specific implementation methods are given: the two classes are divided into experimental class and control class. The experimental class carries out "mathematical origami" activities in mathematics teaching, and forms an interest group of origami activities under the class. The contrast class uses the relative traditional teaching mode to carry on the teaching. After more than two months of experimental teaching, the implementation of the form of later testing. For the results of the two tests, this paper carries out data statistics with Excel, K-S test with SPSS statistical software, T test with independent samples, and the result of comparison and analysis shows that the fluency of students needs to be further improved, and the flexibility of students' thinking. The uniqueness has obviously improved. This paper also combines a large number of origami materials and the teaching practice of senior high school, on the basis of reference, it has carried on the transformation and the innovation, has given the mathematics origami activity teaching case, including the "exponential function" teaching case, < prism, Structure characteristics of Prism and Prism > Teaching case, Teaching case of Mathematical origami activity exercises and recording of origami Micro Video, etc. Finally, this paper summarizes the conclusions and shortcomings of the research, and puts forward the prospects for further research: to enhance the integration of mathematical origami activities and mathematics teaching, to develop more practical teaching resources; Open up a new way to cultivate students' creative thinking quality by using origami activities.
【学位授予单位】：山东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
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