高中数学必修课程不等式教学研究

发布时间：2018-05-15 05:43

本文选题：高中 + 数学教学　；参考：《内蒙古师范大学》2015年硕士论文

【摘要】：人教版教科书必修5中不等式内容是数学基础知识的组成部分。现实世界中的不等关系主要通过不等式来刻画,同时它也能反映事物在量上的不同,不等式是研究数量的大小关系所必须的知识,想要进一步学习数学和其他学科,那么就要学好不等式。本论文主要研究高中人教版教科书数学必修5第三章不等式的教学。笔者结合所在学校的教学情况,通过文献研究法、经验总结法、问卷调查法、访谈法等方法。通过查阅资料,对国内外对不等式的知识研究和教学研究两个方面做了简单的阐述,并分析了人教版教科书必修5不等式的教学内容。通过问卷调查发现笔者所在学校的不等式教学存在着一些问题：教师在授课时所用的教学模式仍然是以灌输式为主；数学思想方法渗透不足；不等式知识拓展偏少,不等式与其它知识点的联系没有通过习题得到体现。这导致学生学习兴趣不高,数学思维能力得不到提高,解题能力欠缺。对此笔者对不等式的教学提出建议：教师应合理安排不等式教学课时；教师要转变理念,不能一味的采用灌输式方法进行教学,当前教育下应该以学生为主体,教师为主导,提出了教师可以采用探究式和启发式这两种教学模式：教师要注重数学思想方法的渗透,在教学中要向学生渗透不等式中蕴含的数学思想方法,以此来提高学生的数学思维能力；要注重不等式知识的拓展,单靠课本上的知识不一定能满足学生学习的要求,教师要适当拓展,对有些知识点要加深,同时也要注意广度,注重不等式的工具性,注重不等式于其它知识点的联系：通过教学案例,课后访谈,以及成绩对比,笔者发现在笔者所提出的关于不等式的教学建议对教学有一定的帮助,能提高教师的教学效率。
[Abstract]:The inequality content of compulsory 5 in the textbook is a part of the basic knowledge of mathematics. Inequality in the real world is mainly characterized by inequality, and it can also reflect the difference in quantity. Inequality is the necessary knowledge to study the relationship between quantity and quantity, and wants to further study mathematics and other subjects. Then learn inequality well. This thesis mainly studies the teaching of inequality in mathematics compulsory class 5 of senior high school textbook. According to the teaching situation of the school, the author adopts the methods of literature research, experience summary, questionnaire investigation, interview and so on. Through consulting data, this paper briefly expounds the knowledge research and teaching research of inequality both at home and abroad, and analyzes the teaching contents of 5 inequalities required in the textbooks of human education edition. Through the questionnaire survey, we find that there are some problems in inequality teaching in my school: the teaching mode used by teachers in teaching is still in the form of infusion, the infiltration of mathematical thinking and methods is insufficient, and the knowledge of inequality is less developed. The relationship between inequality and other knowledge points is not reflected by exercises. As a result, students' interest in learning is not high, the ability of mathematical thinking can not be improved, and the ability of solving problems is lacking. The author puts forward some suggestions to the teaching of inequality: teachers should arrange the teaching of inequality reasonably, teachers should change their ideas, they should not blindly adopt the method of filling, and the current education should take students as the main body and teachers as the leading factor. This paper puts forward that teachers can adopt two teaching modes of inquiry and heuristics: teachers should pay attention to the infiltration of mathematical thought and methods, and in teaching they should permeate the mathematical thinking methods contained in inequality to students. In order to improve the students' ability of thinking in mathematics, we should pay attention to the expansion of the knowledge of inequality. Relying solely on the knowledge in textbooks alone does not necessarily meet the requirements of students' study. Teachers should expand appropriately, deepen some points of knowledge, and at the same time pay attention to breadth. Pay attention to the instrumentality of inequality, pay attention to the connection of inequality to other knowledge points: through teaching cases, after-class interviews, and the comparison of achievements, the author finds that the author's teaching suggestions on inequality are helpful to the teaching. It can improve the teaching efficiency of teachers.
【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

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