建构主义观下高中数学概念教学的研究与实践

发布时间：2018-06-02 05:25

本文选题：数学概念 + 建构主义　；参考：《曲阜师范大学》2016年硕士论文

【摘要】：数学概念教学一直是数学教育研究的重要课题,数学概念教学方法和策略的探讨备受众多研究者的关注,而建构主义理论的提出为传统的数学概念教学注入了新鲜的血液,成为教育工作者进行自我反思以及批判地继承传统教学思想的重要理论基础。正如建构主义理论所提倡的:教师应对学生原有知识经验做到充分的认识,在重视个体差异的前提下设计动态的教学方案,从而多方位满足学生的认知需求。因此,本文以对数学概念重要性及建构主义理论对概念教学的指导性作用的充分认识为前提,力求通过研究能够提出有利于教师教学、学生学习的高中数学概念教学策略。本文的第一部分从高中数学概念的教学现状出发,通过查阅资料、阅读相关文献,指出进行建构主义理论指导下的高中数学概念教学研究的背景及意义。在第二部分,利用文献研究法对国内外关于建构主义观下数学概念教学的研究进行了简单的综合论述,并对目前已有的相关研究做出粗浅的评述,进而提出进行创新研究的重要性。在本文的第三部分,通过建构主义理论对数学概念及数学概念的获得、学习与教学进行再认识,以便于更好地进行建构主义观下高中数学概念教学策略的研究。第四部分主要是依据前面的研究结论对建构主义观下高中数学概念的教学策略做出具体详实的分析,主要包括课前分析、数学概念的引入、掌握、巩固和系统化五个部分。结合第三、四部分的研究,在第五部分完成建构主义观下的《椭圆及其标准方程》教学设计的整体简易说明,并通过课堂教学实践完善建构主义观下数学概念教学的理论研究。通过对实践案例的分析,针对教学中出现的问题提出适当的修改意见,并对如何在实践中更好地实现对所得研究结论的应用做出简单的小结。文章的最后通过总结分析,提出实践教学中应该注意的问题,并给出相应的意见及研究反思。
[Abstract]:The teaching of mathematical concepts has always been an important subject in mathematics education. The discussion of teaching methods and strategies of mathematical concepts has attracted the attention of many researchers, and the theory of constructivism has injected fresh blood into the traditional teaching of mathematical concepts. It has become an important theoretical basis for educators to carry out self-reflection and critically inherit the traditional teaching thought. Just as the constructivism theory advocates: teachers should fully understand the students' original knowledge and experience, and design dynamic teaching programs under the premise of paying attention to individual differences, so as to meet the cognitive needs of students in many ways. Therefore, based on the full understanding of the importance of mathematical concepts and the instructive effect of constructivism theory on concept teaching, this paper tries to put forward a teaching strategy of high school mathematics concepts which is beneficial to teachers' teaching and students' learning. The first part of this paper is based on the present situation of mathematics concept teaching in senior high school, and points out the background and significance of the research on mathematics concept teaching in senior high school under the guidance of constructivism theory. In the second part, the author makes a brief and comprehensive exposition on the research of mathematics concept teaching under constructivism at home and abroad with the method of literature research, and makes a brief comment on the related research that has been done at present. Furthermore, the importance of innovative research is put forward. In the third part of this paper, through the constructivism theory of mathematical concepts and the acquisition of mathematical concepts, learning and teaching for a better understanding of the Constructivist concept of high school mathematics concept teaching strategy research. The fourth part is mainly based on the previous research conclusions to make a concrete and detailed analysis of the teaching strategy of high school mathematics concept under the Constructivism view, mainly including pre-class analysis, the introduction of mathematical concepts, mastery, consolidation and systematization of five parts. Combined with the research of the third and fourth parts, in the fifth part, the whole simple explanation of the teaching design of "ellipse and its Standard equation" under constructivism is completed, and the theoretical research of mathematics concept teaching under constructivism is perfected through classroom teaching practice. Based on the analysis of practical cases, this paper puts forward some suggestions to correct the problems in teaching, and makes a brief summary on how to better realize the application of the research conclusions in practice. Finally, through summing up and analyzing, the paper puts forward some problems that should be paid attention to in practice teaching, and gives corresponding opinions and research reflections.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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