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中文题名:

 基于函数教学的直观想象素养的培养研究    

姓名:

 刘夏    

保密级别:

 公开    

论文语种:

 中文    

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:

 2019    

学校:

 北京师范大学    

校区:

 北京校区培养    

学院:

 数学科学学院    

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:

 2019-05-21    

答辩日期:

 2019-05-07    

外文题名:

 The Cultivation of Intuitive Imagination Competency Research Based on Function Teaching    

中文关键词:

 直观想象素养 ; 函数教学 ; 培养方法    

中文摘要:
直观想象作为六大数学核心素养之一,是学生应具备的适应自身发展和社会发展需要的必备品格和关键能力,在教学中培养该素养是不可或缺的过程。函数内容是高中数学学习主线之一,本文以在函数教学中培养学生直观想象为内容,结合具体案例展开研究。本文共分为四章。第一章对问题的研究背景、研究目的与内容以及研究方法展开了阐述;第二章梳理了关于数学核心素养和直观想象的内涵、培养方法以及学科价值的相关文献;第三章主要介绍在函数教学中对学生直观想象素养的培养方案:在函数新知识的教学中,教师通过引导学生利用图形描述问题、借助几何直观理解问题,在课堂上利用多媒体技术挖掘本质的方法培养学生的直观想象;在函数解题的教学中,教师可以通过培养学生的用图能力、帮助学生构建数与形的联系、构建直观解题模型来养成学生的直观想象素养。第四章对全文进行总结,并对本研究方向进行反思。
外文摘要:
As one of the six mathematics key competencies, Intuitive Imagination Competency is the essential character and key ability for students to adapt to the lifelong and social development. Hence, it’s crucial to develop students’ Intuitive Imagination Competency through teaching and studying. This paper takes developing students’ Intuitive Imagination Competency as the content by means of function teaching, which is one of the main lines of high school mathematics learning, combines with specific cases to carry out research. This paper is divided into four chapters. The first chapter mainly describes the background, objective and content as well as methods of the research. In the second chapter, relevant literature is sorted out, which is about the connotation, cultivation strategy and the mathematics value of Mathematics key competencies and Intuitive Imagination Competency. The third chapter mainly introduces the training strategies of students' intuitive imagination quality in function teaching: in the teaching of new knowledge of function, teachers can cultivate students' intuitive imagination by guiding students to use graphics to describe problems, using geometric intuition to understand problems and using multimedia technology to excavate essence in class; in the teaching of function problem solving, teachers can cultivate students' intuitive imagination by drawing ability, helping students to construct the connection between number and shape, and constructing intuitive problem solving model; each way is explained in detail with teaching cases. The fourth chapter summarizes the whole thesis, and reflects on the research.
参考文献总数:

 19    

作者简介:

 2015级数学科学学院本科生    

插图总数:

 8    

插表总数:

 0    

馆藏号:

 本070101/19008    

开放日期:

 2020-07-09    

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