PCK视角下的高中函数概念教学研究

发布时间：2018-01-03 21:15

本文关键词：PCK视角下的高中函数概念教学研究　出处：《江西师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：数学概念是学生学习数学的出发点,是数学定理、公式、推理等的基础;数学概念是最基本的思维形式,是学生学习数学的必经之路。函数是描述现实客观世界变化规律的一个重要数学模型,是高中数学的重要基础知识,也是学习其它学科的重要工具之一。在中学,函数思想和方法也贯穿整个数学课程。函数概念是学生学习函数知识和其他数学知识的基础,所以高中生学习函数时,函数概念的学习情况对高中及以后的数学学习有很大的影响。PCK(Pedagogical Content Knowledge),翻译即为学科教学知识。教师PCK主要是研究教师学科知识和教学知识的联系。通过查阅文献资料,将本文中PCK定义为教师的知识转化为课堂的知识。本文从教师PCK角度下,研究高中函数概念教学,主要研究以下三个问题:函数概念的教育意义;函数概念的重难点;不同类型的教师对函数概念教学的影响。本文的研究方法有文献研究法、问卷调查法和访谈法。本文实验研究对象是江西省某中学高一5个班级的学生,共316名学生,和18名高中数学教师。从问卷中调查学生对函数概念的掌握情况,找出函数概念的重难点。函数概念的难点是对函数概念的理解,最主要是对对应法则符号y(28)f(7)x(8)的理解。本文还在18名教师中抽选出代表新手型教师、成熟型教师和专家型教师各一名,进行函数概念教学访谈,分析得出教师PCK会直接影响教学效果。最后根据实验结论,结合建构学理论对教师概念教学提出几点建议:(1)概念体系下的教学设计;(2)课堂丰富化和趣味化调动氛围;(3)教学反思和总结。其中教学设计包括教学设计前的准备工作、建立函数结构体系、利用历史相似性教学、教学过程中突出概念的形成;课堂丰富化和趣味化包括教学注意点、数学生活化和信息技术整合。
[Abstract]:Mathematical concept is the starting point for students to learn mathematics, is the basis of mathematical theorems, formulas, reasoning and so on; Mathematical concept is the most basic form of thinking and the only way for students to learn mathematics. Function is an important mathematical model to describe the changing laws of the real objective world and an important basic knowledge of senior high school mathematics. It is also one of the important tools for learning other subjects. In middle school, the thought and method of function also run through the whole mathematics course. The concept of function is the basis of students' learning function knowledge and other mathematics knowledge. So when high school students learn function. The learning of the concept of function has great influence on the mathematics learning in senior middle school and later. PCK / Pedagogical Content knowledge. Translation is the subject of teaching knowledge. Teacher PCK is mainly to study the relationship between teachers' subject knowledge and teaching knowledge. In this paper, PCK is defined as the transformation of teacher's knowledge into classroom knowledge. From the perspective of teacher's PCK, this paper studies the teaching of function concept in senior high school, and mainly studies the following three problems: the educational significance of the concept of function; The heavy and difficult point of the concept of function; The influence of different types of teachers on the teaching of function concept. The research methods of this paper are literature research, questionnaire survey and interview. The object of this experiment is the students of five classes in a middle school in Jiangxi Province. A total of 316 students and 18 senior high school mathematics teachers investigated the students' grasp of the concept of function from the questionnaire to find out the important difficulties of the concept of function. The difficulty of the concept of function is the understanding of the concept of function. The most important is the understanding of the corresponding rule symbol yang 28 / f / 7 / X / 8). Among the 18 teachers, one is the representative of the novice teacher, one is the mature teacher and the other is the expert teacher. It is concluded that the teacher PCK will directly affect the teaching effect. Finally, according to the experimental conclusions. Based on the theory of constructivism, this paper puts forward some suggestions on the teaching design of teachers' concept teaching under the concept system. 2) enriching and interesting atmosphere of classroom; The teaching design includes the preparation before the teaching design, the establishment of the function structure system, the use of historical similarity in teaching, the formation of outstanding concepts in the teaching process; Classroom enrichment and interest include teaching attention, mathematical life and information technology integration.
【学位授予单位】：江西师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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