高中解析几何开放题教学研究
发布时间：2019-01-26 21:00
【摘要】：1971年,以岛田茂为首的日本学者们率先研究了“开放式结尾问题”,后经1980年《外国教育》杂志刊登的《从“未完结问题”提出的算数、数学课的教学的方案》一文传入我国。随着新课程标准的实施,开放题教学以其不确定性、发散性、层次性、创新性等特点,吸引了越来越多的教学教育工作者。数学开放题教学以问题解决为核心,重视学生独立思考、合作探究的解答过程,旨在对发散思维能力、直觉思维能力、空间想象能力、创新意识等的培养,体现了以教师为主导和以学生为主体相结合的教学理念。本研究采用文献研究、案例分析等研究方法,结合自己的教学实践阐明数学开放题教学在激发学生学习兴趣,树立不畏困难、勇于探索的信心,彰显学生的主体意识,培养团队合作意识等方面具有积极的教育意义。本文以一个高中数学教师的视角,以高中解析几何相关内容为载体,较系统而深化地研究高中数学开放题教学。第一部分引言,简要介绍了开放题研究的国内外现状,研究的目的和意义,研究方法以及研究的创新之处；第二部分数学开放题的理论研究,主要是结合实例对数学开放题的定义、特点、分类及高中数学开放题的编制方法进行论述；第三部分高中数学开放题的教学研究,首先论述了数学开放题的教学原则,其次以开放题的教学策略指导其在高中解析几何教学中的实际应用,再次以抛物线及其标准方程一节的教学设计完整展现高中数学开放题教学模式；第四部分结论,基于教学实际,提出高中数学开放题教学研究的几点反思与本研究的不足之处。
[Abstract]:In 1971, the Japanese scholars headed by Shigeru Ishida first studied "the problem of open ending", and later introduced into our country the article "arithmetic, the Teaching Plan of Mathematics" published in "Foreign Education" magazine in 1980. With the implementation of the new curriculum standards, open question teaching attracts more and more teaching educators with its characteristics of uncertainty, divergence, hierarchy and innovation. The teaching of open problems in mathematics takes problem-solving as the core, attaches importance to the solving process of students' independent thinking and cooperative inquiry, and aims to cultivate the divergent thinking ability, intuitive thinking ability, spatial imagination ability, creative consciousness and so on. It embodies the teaching idea of teacher-oriented and student-oriented teaching. This research adopts the research methods of literature research and case analysis, combined with its own teaching practice, expounds that the open problem teaching of mathematics can stimulate the students' interest in learning, build up the confidence of not fearing difficulties, dare to explore, and show the students' subjective consciousness. Cultivating the sense of teamwork has positive educational significance. In this paper, from the perspective of a senior high school mathematics teacher and with the relevant contents of analytic geometry in senior high school as the carrier, the teaching of open problems in high school mathematics is studied systematically and deeply. The first part of the introduction, a brief introduction to the domestic and foreign situation of open topic research, the purpose and significance of the study, research methods and research innovation; The second part is the theoretical study of mathematical open problems, which mainly discusses the definition, characteristics, classification and compiling method of mathematics open problems in senior high school. The third part is the teaching research of the mathematics open problem in senior high school. Firstly, it discusses the teaching principle of the open problem in mathematics, and then uses the teaching strategy of the open question to guide its practical application in the teaching of analytic geometry in senior high school. Thirdly, the teaching design of parabola and its standard equation is used to show the teaching mode of mathematics open problem in senior high school. In the fourth part, based on the teaching practice, the author puts forward some reflections on the teaching research of open problems in high school mathematics and the shortcomings of this study.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2415906
[Abstract]:In 1971, the Japanese scholars headed by Shigeru Ishida first studied "the problem of open ending", and later introduced into our country the article "arithmetic, the Teaching Plan of Mathematics" published in "Foreign Education" magazine in 1980. With the implementation of the new curriculum standards, open question teaching attracts more and more teaching educators with its characteristics of uncertainty, divergence, hierarchy and innovation. The teaching of open problems in mathematics takes problem-solving as the core, attaches importance to the solving process of students' independent thinking and cooperative inquiry, and aims to cultivate the divergent thinking ability, intuitive thinking ability, spatial imagination ability, creative consciousness and so on. It embodies the teaching idea of teacher-oriented and student-oriented teaching. This research adopts the research methods of literature research and case analysis, combined with its own teaching practice, expounds that the open problem teaching of mathematics can stimulate the students' interest in learning, build up the confidence of not fearing difficulties, dare to explore, and show the students' subjective consciousness. Cultivating the sense of teamwork has positive educational significance. In this paper, from the perspective of a senior high school mathematics teacher and with the relevant contents of analytic geometry in senior high school as the carrier, the teaching of open problems in high school mathematics is studied systematically and deeply. The first part of the introduction, a brief introduction to the domestic and foreign situation of open topic research, the purpose and significance of the study, research methods and research innovation; The second part is the theoretical study of mathematical open problems, which mainly discusses the definition, characteristics, classification and compiling method of mathematics open problems in senior high school. The third part is the teaching research of the mathematics open problem in senior high school. Firstly, it discusses the teaching principle of the open problem in mathematics, and then uses the teaching strategy of the open question to guide its practical application in the teaching of analytic geometry in senior high school. Thirdly, the teaching design of parabola and its standard equation is used to show the teaching mode of mathematics open problem in senior high school. In the fourth part, based on the teaching practice, the author puts forward some reflections on the teaching research of open problems in high school mathematics and the shortcomings of this study.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
【参考文献】
相关硕士学位论文 前1条
1 徐鑫;数学开放题的编制与教学实践研究[D];上海师范大学;2005年
，本文编号：2415906
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