新课标下高中数学中圆锥曲线模块教学研究
发布时间：2018-08-13 16:46
【摘要】：在注重素质教学的教育体制下,有许多数学教学研究工作者更加致力于对数学课堂教学的研究。新课程的高中数学教学中,圆锥曲线是代数和几何的连接桥梁,同时因其包含丰富的数学思想,并且其几何模型的性质在日常生活、社会生产中有着广泛应用等原因,而成为培养当代高中生数学素养的重要课程。此外,圆锥曲线模块在每年高考试题中占有很高的比重,在其中扮演着为国家重点高校甄别人才的重要角色。因此,对高中数学中圆锥曲线模块进行教学研究有着十分重要的意义:通过对教材进一步深入研究与挖掘利用,有利于以后更好的开展教学工作;通过改善教学方法,将圆锥曲线教学与日常生活有机结合,有利于学生感受数学在生活中的实际应用,进而提高学生的学习积极性,为下一步的学习做更好的准备。本文以建构主义理论、人本主义理论、范希尔几何思维水平等教育理论为基础理论,采用了文献研究法、问卷调查法、访谈法等研究方法,对圆锥曲线模块的教育现状进行研究。在对教师、学生两个方面进行圆锥曲线模块的教学现状调查的过程中,对教师进行了有关圆锥曲线模块的教学认识、对新课标和教材的重视程度、数学思想的渗透情况等方面的调查;对学生进行了该模块学习兴趣、认识、数学思想的应用等方面的调查。针对当前圆锥曲线模块教学中存在的主要问题,本文提出了以下解决策略:①新课标下,教师教学观念需要转变;②悉心引导,重视圆锥曲线概念的教学;③通过例题的探究,有效渗透数学思想方法;④圆锥曲线模块综合应用能力的培养;⑤合理使用几何画板辅助教学。当然,关于圆锥曲线模块的教学研究是一个长期的过程,随着时代和科技的进步,为了实现对该模块的更好的教学,解决教学中存在的问题,仍需我们进一步探索和实践。
[Abstract]:Under the educational system of quality-oriented teaching, many mathematics teaching researchers are more committed to the study of mathematics classroom teaching. In high school mathematics teaching of the new curriculum, conic curve is the bridge between algebra and geometry. At the same time, because of its rich mathematical thought, and the nature of its geometric model is widely used in daily life and social production, etc. It has become an important course to cultivate the mathematics literacy of contemporary high school students. In addition, the conic module occupies a high proportion in the examination questions of college entrance examination every year, and plays an important role in the identification of talents for the national key colleges and universities. Therefore, the teaching research of conic curve module in senior high school mathematics is of great significance: through further research and utilization of teaching materials, it is helpful to carry out teaching work better in the future, and through improving teaching methods, The combination of conic teaching and daily life is helpful for students to feel the practical application of mathematics in life, and then improve students' enthusiasm for learning, and make better preparation for the next step of study. Based on the educational theories of constructivism, humanism and van hill's geometric thinking level, this paper adopts the methods of literature research, questionnaire survey, interview and so on. The present situation of the education of conic module is studied. In the course of investigating the teaching status of the conic module in teachers and students, the author has carried on the teaching understanding of the conic module, paid attention to the new curriculum standard and the teaching material. The investigation of the infiltration of mathematical thought and the investigation of the students' interest in learning, understanding and application of mathematical thought are carried out. In view of the main problems existing in the teaching of conic module at present, this paper puts forward the following solution strategy: 1. Under the new curriculum standard, teachers' teaching concept should be carefully guided and the teaching of conic concept should be paid more attention to through the exploration of examples. Effective infiltration of Mathematical thinking method the cultivation of the comprehensive application ability of the conic module No. 4 the reasonable use of geometric Sketchpad to assist teaching. Of course, the teaching and research of conic module is a long-term process. With the progress of times and science and technology, in order to achieve better teaching of this module and solve the problems in teaching, we still need to further explore and practice.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2181583
[Abstract]:Under the educational system of quality-oriented teaching, many mathematics teaching researchers are more committed to the study of mathematics classroom teaching. In high school mathematics teaching of the new curriculum, conic curve is the bridge between algebra and geometry. At the same time, because of its rich mathematical thought, and the nature of its geometric model is widely used in daily life and social production, etc. It has become an important course to cultivate the mathematics literacy of contemporary high school students. In addition, the conic module occupies a high proportion in the examination questions of college entrance examination every year, and plays an important role in the identification of talents for the national key colleges and universities. Therefore, the teaching research of conic curve module in senior high school mathematics is of great significance: through further research and utilization of teaching materials, it is helpful to carry out teaching work better in the future, and through improving teaching methods, The combination of conic teaching and daily life is helpful for students to feel the practical application of mathematics in life, and then improve students' enthusiasm for learning, and make better preparation for the next step of study. Based on the educational theories of constructivism, humanism and van hill's geometric thinking level, this paper adopts the methods of literature research, questionnaire survey, interview and so on. The present situation of the education of conic module is studied. In the course of investigating the teaching status of the conic module in teachers and students, the author has carried on the teaching understanding of the conic module, paid attention to the new curriculum standard and the teaching material. The investigation of the infiltration of mathematical thought and the investigation of the students' interest in learning, understanding and application of mathematical thought are carried out. In view of the main problems existing in the teaching of conic module at present, this paper puts forward the following solution strategy: 1. Under the new curriculum standard, teachers' teaching concept should be carefully guided and the teaching of conic concept should be paid more attention to through the exploration of examples. Effective infiltration of Mathematical thinking method the cultivation of the comprehensive application ability of the conic module No. 4 the reasonable use of geometric Sketchpad to assist teaching. Of course, the teaching and research of conic module is a long-term process. With the progress of times and science and technology, in order to achieve better teaching of this module and solve the problems in teaching, we still need to further explore and practice.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
【参考文献】
相关硕士学位论文 前10条
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