初中锐角三角函数教学研究

发布时间：2018-03-02 10:06

本文关键词： 锐角三角函数函数概念教学设计　出处：《沈阳师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：函数部分知识一直贯穿着义务教育学段的学习,而高中阶段对函数概念的重新定义和外延的扩充更加提高了学生学习难度。其中义务教育阶段学习的锐角三角函数是直接反应函数对应性质的一类特殊函数,因此它在初、高中函数部分知识中起到了过渡的作用。本研究通过设计对比实验,实验班采用基于函数概念的锐角三角函数教学设计,对比班采用教师用书所提供的教学设计,控制教师、学生等实验变量,进行实验干预,最终得到实验结果。设计实验教学设计之前对初三学生进行函数概念发展程度测试,确定学生实验前所处的函数概念发展阶段。并基于函数概念设计锐角三角函数教学设计,实验干预后检测学生理解程度,得到后测数据。分别比较实验班与对比班后测数据以及各个班级自身前、后测数据,从而确定教学设计的可行性,学生对实验课的可接受程度和是否扩充了对函数概念的理解。本文意在研究不同的教学设计对学生学习函数和锐角三角函数产生何种影响这一问题。并通过实验了解学生在锐角三角函数学习中的可接受程度和学生函数概念的发展水平并为教师教学提供一些可以参考的建议。本研究得到实验数据并进行整理与分析后得到以下结论:(1)学生可以接受从函数的角度讲解锐角三角函数,实验班与对比班对比后数据显示,实验班学生后测试题正确人数远远高于对比班学生。(2)本次实验通过修改锐角三角函数这节课的教学设计,授课后各个班级前后测结果比较后显示,实验班学生对函数概念的理解有着明显的加强,即实验干预扩充了学生对函数概念的理解。本文最终提供了完整的基于函数概念设计的锐角三角函数三个课时的教学设计,并让教师意识到锐角三角函数一课重要的函数意义,为一线教师在锐角三角函数的教学过程中提出切实建议。
[Abstract]:Part of the knowledge of function has been running through the study of compulsory education, The redefinition and extension of the concept of function in senior middle school make it more difficult for students to learn. The acute trigonometric function of compulsory education is a kind of special function which directly reflects the corresponding property of function. The experiment shows that the experimental class adopts the acute angle trigonometric function teaching design based on the concept of function, and the contrast class adopts the teaching design provided by the teacher's book to control the teacher. Students and other experimental variables, experimental intervention, and finally get experimental results. To determine the development stage of function concept before the experiment, and to design the teaching design of trigonometric function of acute angle based on the concept of function, and to test the degree of understanding of students after the experiment intervention. Get the post-test data. Compare the experimental class data with the contrast class data, and the pre-test data and post-test data of each class, so as to determine the feasibility of the teaching design. This paper aims to study the influence of different teaching design on students' learning function and acute angle trigonometric function. To understand the acceptability of students in the learning of acute trigonometric function and the level of development of the concept of student function, and to provide some suggestions for teachers' teaching. The following is a conclusion: 1) students can accept to explain a trigonometric function of an acute angle from a functional point of view, After comparing the experimental class with the contrast class, the data show that the correct number of post-test questions in the experimental class is much higher than that in the contrast class.) this experiment modified the teaching design of the class of acute angle trigonometric function. After the comparison of the results of each class before and after the teaching, it is shown that the students in the experimental class have a strong understanding of the concept of function. That is, the experimental intervention expands the students' understanding of the concept of function. Finally, this paper provides a complete teaching design of the acute angle trigonometric function based on the function concept design, and makes the teacher realize the important function meaning of the acute angle trigonometric function lesson. This paper puts forward some practical suggestions for teachers in the teaching process of trigonometric function of acute angle.
【学位授予单位】：沈阳师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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