周期函数的教学研究
发布时间：2018-12-31 19:56
【摘要】：在中学数学的中,函数是一个重要的知识点,而它的周期性又是在学习中的一个重点和难点。为了了解学生对周期函数的掌握程度,本研究采用问卷调查研究法和访谈法,研究的目的是通过调查学生对周期函数的理解以及教师对此内容的教学方法,发现学生理解周期函数的困难。为改进教材编写和教学提供一些理论研究的依据。本文通过对419名高中生和117名初中生进行问卷调查,根据问卷回答情况,对部分学生和教师进行访谈,对以下几个问题进行了研究。1、学生在周期函数概念的理解上存在哪些问题?2、学生对于一个函数如何判断它是周期函数?学生在利用函数周期性解决数学问题时,会碰到什么困难?3、教材和教师对函数周期性内容是如何处理?根据调查研究得知,学生对周期函数概念的理解还不是很清楚,他们在判断周期函数和最小正周期上使用的方法较为单一,大部分学生还是通过公式法来判断最小正周期,能利用周期函数进行解答题目的学生知之甚少,而教师在讲解周期函数的概念时,基本上还是根据教材来照本.宣科,没有针对性地来指导学生学习周期函数。在文章最后,根据笔者的平时教学经验以及本研究的发现,对当前周期函数的课程提出了一些建议。
[Abstract]:In middle school mathematics, function is an important knowledge point, and its periodicity is an important and difficult point in learning. In order to understand the degree of students' mastery of periodic function, the purpose of this study is to investigate the students' understanding of the periodic function and the teaching methods of the content by means of questionnaire and interview. Find it difficult for students to understand periodic functions. To improve the compilation of teaching materials and teaching to provide some theoretical research basis. Based on the questionnaire survey of 419 high school students and 117 junior high school students, this paper conducted interviews with some students and teachers, and studied the following questions. What problems do students have in understanding the concept of periodic function? 2. How do students judge a function as a periodic function? What difficulties will students encounter when they use function periodicity to solve mathematical problems? 3. How do textbooks and teachers deal with the periodicity of functions? According to the investigation and research, the students' understanding of the concept of periodic function is not very clear, they use a single method to judge the periodic function and the minimum positive period, most students still use the formula method to judge the minimum positive period. The students who can use periodic function to solve problems know very little, but when teachers explain the concept of periodic function, they are basically based on the textbook. Xuan Ke, does not have the pertinence to direct the student to study the cycle function. At the end of the paper, according to the author's teaching experience and the findings of this study, some suggestions on the curriculum of current periodic function are put forward.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2397044
[Abstract]:In middle school mathematics, function is an important knowledge point, and its periodicity is an important and difficult point in learning. In order to understand the degree of students' mastery of periodic function, the purpose of this study is to investigate the students' understanding of the periodic function and the teaching methods of the content by means of questionnaire and interview. Find it difficult for students to understand periodic functions. To improve the compilation of teaching materials and teaching to provide some theoretical research basis. Based on the questionnaire survey of 419 high school students and 117 junior high school students, this paper conducted interviews with some students and teachers, and studied the following questions. What problems do students have in understanding the concept of periodic function? 2. How do students judge a function as a periodic function? What difficulties will students encounter when they use function periodicity to solve mathematical problems? 3. How do textbooks and teachers deal with the periodicity of functions? According to the investigation and research, the students' understanding of the concept of periodic function is not very clear, they use a single method to judge the periodic function and the minimum positive period, most students still use the formula method to judge the minimum positive period. The students who can use periodic function to solve problems know very little, but when teachers explain the concept of periodic function, they are basically based on the textbook. Xuan Ke, does not have the pertinence to direct the student to study the cycle function. At the end of the paper, according to the author's teaching experience and the findings of this study, some suggestions on the curriculum of current periodic function are put forward.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
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