数学史融入一元一次方程教学的实践研究

发布时间：2019-06-06 20:06

【摘要】：一元一次方程是初中数学中最简单也是最基础的代数方程,如何将数学史有机地融入到它的教学中,是当下课堂教学改革的一个热点话题之一,也是新课标的要求之一。它的掌握和融会贯通与否直接影响着后续课程的进一步学习。为此,本文结合自己教育实习的经历,围绕着一元一次方程的教学设计,结合访谈、问卷调查等方式进行了数学史融入的实践研究,并对结果进行了一定的分析和研究。主要工作如下:一、梳理了国内外学者关于一元一次方程历史、教学以及融入方面研究的相关文献,指出数学史融入数学课堂教学一般应遵循的基本原则,同时阐述了本课题研究的意义和必要性。二、通过对全校数学教师的访谈,了解一元一次方程的教学现状。通过对已经学完一元一次方程的初二学生的问卷调查,了解他们对该知识点掌握的程度及存在的问题。三、针对上述访谈和调查反映的问题,在初中一年级学生的教学活动中,提出了将数学史融入一元一次方程教学的设计理念和设计方案,并以此为参照,对其中一个班进行了数学史融入教学的实践研究。四、通过设计不同问卷调查实践的效果,并对相应结果进行了详细的数据分析,指出:融入数学史的教学一定程度上提高了学生学习的积极性和好奇心,促使学生形成正确的数学观,也使得他们对数学内容、思想、方法的演变及发展过程有一定的认识和思考,从而促进了学生对一元一次方程知识的理解。
[Abstract]:Univariate primary equation is the simplest and most basic algebra equation in junior middle school mathematics. How to integrate the history of mathematics into its teaching organically is one of the hot topics in the current classroom teaching reform, and it is also one of the requirements of the new curriculum standard. Its mastery and integration directly affect the further study of the follow-up curriculum. Therefore, based on the experience of educational practice, this paper makes a practical study on the integration of mathematics history with the teaching design of univariate equation, interview, questionnaire survey and so on, and makes some analysis and research on the results. The main work is as follows: first, this paper combs the relevant literature of domestic and foreign scholars on the history, teaching and integration of univariate equation, and points out the basic principles that should be followed in the integration of mathematics history into mathematics classroom teaching. At the same time, the significance and necessity of this research are expounded. Second, through the interview with the mathematics teachers in the whole school, we can understand the teaching status of the univariate equation. Through the questionnaire survey of the students in the second year of junior high school who have finished learning the one-dimensional equation, the degree and existing problems of their mastery of the knowledge point are understood. Third, in view of the problems reflected in the above interviews and investigations, in the teaching activities of the first grade students of junior high school, this paper puts forward the design concept and design scheme of integrating the history of mathematics into the univariate equation teaching, and takes it as a reference. This paper makes a practical study on the integration of mathematics history into teaching in one of the classes. Fourth, through the design of the effect of different questionnaire survey practice, and the corresponding results are analyzed in detail, it is pointed out that the teaching into the history of mathematics has improved the enthusiasm and curiosity of students to a certain extent. To promote students to form a correct view of mathematics, but also to make them have a certain understanding and thinking of the evolution and development of mathematical content, ideas, methods, thus promoting students' understanding of univariate equation knowledge.
【学位授予单位】：山西师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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