APOS理论下高一函数概念教学的实践研究

发布时间：2018-01-12 12:42

本文关键词：APOS理论下高一函数概念教学的实践研究　出处：《山西师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：函数是高中数学的核心内容,是高中数学的一条主线,贯穿高中数学学习的始终,也是高等数学的基础,在高中数学中有着重要的地位和作用,但函数的概念比较抽象,使得学生不容易掌握,为了让学生能真正理解函数概念的实质,加深学生对函数知识结构的理解,本文以APOS理论为指导对函数概念教学进行研究。APOS理论是以建构主义理论为基础的具有数学学科特色的一种理论。本文主要研究的是APOS理论指导下高一函数教学。首先,本文在查阅大量相关文献的基础上,对APOS理论的来源、涵义、模型、特征进行分析,梳理了APOS理论的国内外研究现状,并对函数的概念教学进行阐述;其次,通过问卷和访谈调查高中函数概念的教学现状,找出学生对函数概念理解上存在的主要问题,分析其原因,利用APOS理论指导,提出相应的教学策略;最后,根据APOS理论指导函数概念教学策略,编制高中数学必修一第一章函数部分的教学案例,进行教学实践,通过试卷和问卷了解学生学习函数知识的掌握情况和学习函数的兴趣情况并进行数据收集,利用SPSS17.0统计软件对前后测结果进行了统计,并做细致的结果分析。本研究所取得的主要成果是:(1)找出了学生学习函数概念知识时主要存在的问题;(2)APOS理论指导函数概念教学是可行的,能提高数学成绩;(3)APOS理论指导函数概念教学能激发学生学习函数课的兴趣,从而提高课堂质量。
[Abstract]:Function is the core content of high school mathematics, is a main line of high school mathematics, through high school mathematics learning always, and also is the foundation of higher mathematics, plays an important role in the high school mathematics, but the function of the more abstract concepts, so that students are not easy to grasp, as the essence of students can truly understand the concept of function and deepen students' understanding of the function of knowledge structure, this paper based on APOS theory of.APOS theory to the teaching of function concept is a kind of theory with the characteristics of mathematics based on constructivism theory. The main research of this paper is a function of high Education under the guidance of the APOS theory. Firstly, based on a large amount of the related literature on the theory of APOS source, meaning, model, feature analysis, APOS theory research status at home and abroad combing the concept and function of teaching are elaborated; secondly, through Teaching status questionnaire and interview high school function concept, students find the main problems of function concept understanding, analysis of the reasons, the use of APOS theory, put forward the corresponding teaching strategies; finally, according to the APOS theory of function concept teaching strategy, compiling the first chapter required a high school mathematics teaching in the part of function of case teaching. In practice, through the test and questionnaire to understand the students' learning function knowledge and interest situation and study the function of the data collection, the results were statistically measured before and after using SPSS17.0 statistical software, and detailed analysis of the results. The main achievements of this study are: (1) to find out the main existing learning function concept the problem of knowledge; (2) APOS theory to guide the teaching of function concept is feasible, can improve the mathematics achievement; (3) APOS theory concept teaching can stimulate the learning function Students are interested in learning function classes to improve the quality of the class.

【学位授予单位】：山西师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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