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中文题名:

 基于化归思想方法的初中方程教学实验研究    

姓名:

 龚芮    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 045104    

学科专业:

 学科教学(数学)    

学生类型:

 硕士    

学位:

 教育硕士    

学位类型:

 专业学位    

学位年度:

 2018    

校区:

 北京校区培养    

学院:

 数学科学学院    

研究方向:

 数学教育    

第一导师姓名:

 马波    

第一导师单位:

 北京师范大学数学科学学院    

提交日期:

 2018-05-26    

答辩日期:

 2018-05-17    

外文题名:

 EXPERIMENTAL RESEARCH ON EQUATION TEACHING OF JUNIOR HIGH SCHOOL BASED ON THE MATHEMATICS TRANSFORMATION THOUGHT    

中文关键词:

 初中 ; 方程 ; 化归思想 ; 实验研究    

中文摘要:
化归思想方法在初中数学内容中无处不在,是数学中的基本思想方法之一,蕴藏在学生学习的各个阶段的知识内容中。化归思想的渗透需要经过长时间和多次的教学与训练,并不是一朝一夕就能完成的。在初中教学中对数学思想的渗透会对学生高中及以后的学习与成长起重要的作用。所以笔者确定本文的研究对象为初中学生。 基于初中方程教学的现状,本文将化归思想方法作为提高初中方程教学质量的一种手段来进行研究。通过大量的文献研究和一个多月的实验研究,笔者发现实验班与对照班学生在一元一次方程单元测试中的成绩与两班初始成绩相比差距不大,但是在最后的方程专题训练中,实验班学生明显成绩更优秀。 根据以上分析和实验,笔者对基于化归思想的初中方程教学提出了相应的建议: (1)概念教学中教师教学的重点应该落在概念的形成过程上,要引导学生理解各类方程定义之间的区别。 (2)在解方程教学中帮助学生确立问题解决的方向,引导学生将复杂的方程化归为易解方程。 (3)在方程的应用教学中要建立起典型的数学模型,从而帮助学生完成实际问题向数学模型的化归,运用已有模型来解决实际问题。
外文摘要:
The thought of transformation is one of the basic methods in mathematics, which is ubiquitous in the content of junior high school mathematics. It is the leader of thinking methods such as equation thinking, figure and figure combination, and so on. It meets the junior middle school students' thinking ability and their existing life experience, so they are valued by the majority of mathematics education researchers. However, the infiltration of the idea of conversion needs a long time and many times of teaching and training, and it can not be completed overnight. The transformation is contained in the knowledge content of each stage of the students' learning. Restricted by the thinking ability of primary school students, mathematics thinking is rarely reflected in the content of primary school mathematics teaching. Some studies have shown that the infiltration of mathematical thinking in junior high school teaching will play an important role in the learning and growth of students in high school and later. Therefore, the author determines the object of this study is junior high school students Based on the status quo of junior middle school equations teaching, this article will turn the thought method into a means to improve the teaching quality of junior middle school equations. Through a large number of literature studies and more than one month of experimental experiments, the author finds that the performance of the experimental class and the control class students in the one-dimensional one-equation unit test is not significantly different from the two class initial results, but in the final equation training The students in the experimental class achieved better results. According to the above analysis and experiment, the author puts forward some corresponding suggestions on the junior middle school equation teaching based on the thought of transformation: (1) the definition of concept teaching in the form of equations should be diluted, the focus of teaching should be in the forming process of the concept, to guide students to understand the nature of the equation, to understand the difference between all kinds of equations defined. (2) in the teaching of solving equations, we should help students construct knowledge system and make the knowledge more systematic, so that students can understand the relationship between different equations at a glance. (3) in the application of equation teaching, we should establish a typical mathematical model to help realize the problem of the model, and use the existing model to solve the new problems.
参考文献总数:

 36    

作者简介:

 2013年本科毕业于北京师范大学,一直从事基础教育工作。    

馆藏号:

 硕045104/18003    

开放日期:

 2019-07-09    

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