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中文题名:

 数形结合思想在中学数学教学中的研究    

姓名:

 翁雨淇    

保密级别:

 公开    

论文语种:

 chi    

学科代码:

 070101    

学科专业:

 数学与应用数学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2023    

校区:

 北京校区培养    

学院:

 数学科学学院    

第一导师姓名:

 秦默言    

第一导师单位:

 数学科学学院    

提交日期:

 2023-05-23    

答辩日期:

 2023-05-17    

外文题名:

 Research on the Idea of Combining Numbers and Shapes in Middle School Mathematics Teaching.    

中文关键词:

 数形结合 ; 思想方法 ; 中学数学 ; 教学 ; 应用    

外文关键词:

 Combining Numbers and Shapes ; Thought and Methodology ; Secondary School Mathematics ; Teaching ; Application    

中文摘要:

随着新一轮基础教育课程改革的深入,中学数学教学越来越注重数学核心素养的培养。为了发展学生的直观想象素养,一线教师越来越重视数形结合思想的教学,以提高学生的空间想象能力。因此,探究数形结合思想在中学数学教学中的应用并给出相关建议有着非常重要的意义。通过查阅研读相关文献,了解在教学中应用数形结合思想的研究现状,采用文本分析法,深入分析《课标》和教材中蕴含数形结合思想的内容,为应用数形结合思想给出教学提示,再根据教育实习的实践经验,通过面向学生和教师问卷调查,深入了解了数形结合思想在中学数学教学中的应用情况,据此给出了应用数形结合思想的教学建议:(1)建立数形结合思想的教学意识;(2)重视教学中应用数形结合思想的途径(3)挖掘蕴含数形结合思想的内容并将其应用到教学中。

外文摘要:

With the deepening of the new round of basic education curriculum reform, the cultivation of core mathematical literacy has been emphasized increasingly in the mathematics teaching in middle school. In order to develop students' intuitive imagination, frontline teachers are paying more and more attention to the teaching method for the idea of symbolic–graphic combination to improve students' spatial imagination ability. Therefore, exploring the application of the idea of symbolic–graphic combination in the mathematics teaching in middle school and providing relevant suggestions is of great significance. Through reviewing and grasping relevant research associated with symbolic-graphic combination and its application, using text analysis, and analyzing deeply the content of the idea of symbolic-graphic combination in the syllabus and textbooks, teaching tips for applying the idea of symbolic-graphic combination are provided. Based on practical experience in educational internships, a questionnaire survey was conducted targeting students and teachers to gain insight into the idea of symbolic-graphic combination in the mathematics teaching in middle school, and teaching suggestions for applying the idea of symbolic-graphic combination were given: (1) establish awareness on the teaching method for the idea of symbolic-graphic combination; (2) emphasize the ways to apply the idea of symbolic-graphic combination in teaching; (3) unearth the content that contains the idea of symbolic-graphic combination and apply it to teaching.

参考文献总数:

 21    

馆藏号:

 本070101/23209    

开放日期:

 2024-05-22    

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