基于问题表征的高中数学创新题解决研究

发布时间：2018-03-15 23:28

本文选题：问题表征　切入点：问题解决　出处：《湖南师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：当前,我国正处于发展的重要战略机遇期,为建设创新型国家,大力培育创新型人才显得尤为迫切和重要。从20世纪80年代中期开始倡导培养创新型人才以来,我国在基础教育课程方面做了很大改革。为了适应数学学科新课程的要求,高中数学课程要求重点发展学生的应用意识和创新意识;要求高考数学试题以及平时训练测试习题必须具备背景、结构新颖以及内容丰富等创新特点;要求学生能够突破常规的思维模式,学会分析和加工处理信息,灵活的进行知识迁移以及探究推理等,因此,对数学课程创新题的教学研究对创新型人才的培养具有重要的意义。本文从心理学的角度出发,首先通过文献分析法提出研究问题,给出研究的理论基础以及相关概念的界定,并且利用例题分析法研究问题表征对高中数学创新题解决的影响作用;其次,采用问卷调查法研究高中生数学创新题解决中的表征习惯情况并进行原因分析;最后,通过问卷测试法调查高中生数学创新题解决中的表征能力情况及存在的差异。研究发现:(1)高一学生在数学创新题的解决过程中整体上没有具备良好的表征习惯,而实验班的学生表征习惯相对较好。(2)高三实验班的学生整体上比高一实验班的学生数学创新题表征习惯好,具备好的表征习惯的学生比例较高。(3)在创新题表征过程中,高一实验班学生对概念的本质把握程度、三种语言的转化、对问题背景的表征、表征方式的选择与运用上能力相对较弱,而高三实验班学生在这些方面表征能力较强。最后,结合教学实践,本文提出几点关于提高学生数学创新题解决能力的思考。
[Abstract]:At present, our country is in the important strategic opportunity period of development. In order to build an innovative country, it is particularly urgent and important to cultivate innovative talents. In order to meet the requirements of the new curriculum of mathematics, senior high school mathematics curriculum needs to focus on the development of students' applied consciousness and innovative consciousness. Students are required to have innovative characteristics such as background, novel structure and rich content, and to be able to break through the normal mode of thinking and learn to analyze and process information. Knowledge transfer and inquiring reasoning are carried out flexibly. Therefore, the teaching and research on the innovative problems of mathematics curriculum is of great significance to the cultivation of innovative talents. First, through the literature analysis to put forward the research problem, give the theoretical basis of the research and the definition of related concepts, and use the example analysis method to study the problem to express the influence on the senior high school mathematics innovation problem solution; secondly, A questionnaire survey was used to study the expressive habits of senior high school students in solving mathematical innovation problems and to analyze the reasons. Through the questionnaire test method, the paper investigates the representation ability and the difference in solving the mathematics innovation problem of senior high school students. It is found that the first grade high school students do not have a good habit of representation in the solving process of the mathematics innovation problem, as a whole, the students in the first year of senior high school do not have a good habit of representation. The students in the experimental class are generally better than those in the experimental class in terms of mathematical innovation problem representation habits, and the proportion of students with good representational habits is higher than that of the students in the experimental class, and the proportion of students with good representational habits is higher than that of the students in the first grade experimental class, and the proportion of students with good representational habits is higher than that of the students in the first grade experimental class. The students in the experimental class of Senior one have a relatively weak ability to understand the essence of the concept, transform the three languages, express the background of the problem, choose and use the representation, while the students in the experimental class of Grade 3 have a strong ability in these aspects. Combined with teaching practice, this paper puts forward some thoughts on how to improve students' ability to solve innovative problems in mathematics.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

【相似文献】