高一学生三角函数运算求解能力培养对策的研究

发布时间：2018-05-03 21:30

本文选题：高一学生 + 三角函数运算求解能力　；参考：《天水师范学院》2017年硕士论文

【摘要】：三角函数是高中数学的重要内容之一.运算求解能力是影响学生数学成绩的主要因素之一.高一是初高中衔接、培养数学运算能力的关键阶段.现实中高一学生在三角函数运算求解能力方面存在许多问题,因此研究高一学生三角函数运算求解能力的现状并提出培养途径很有意义.笔者通过对高一学生三角函数运算求解能力上存在的主要问题的调查,分析了影响高一学生三角函数运算求解能力发展的因素,进而提出了提高高一学生三角函数运算求解能力的对策.笔者根据新课程标准与高一学生的实际情况命制了高一学生三角函数运算求解能力测试题,对笔者所执教的学校的高一级部分学生进行了能力测试,并对部分教师和学生进行了访谈,发现高一学生三角函数运算求解能力偏低的原因主要有三个方面:一是教材原因,二是学生自身的原因,三是教师的原因.在一些专家和老师的理论与实践经验及研究成果,及笔者从教多年的实践经验的基础上,本文提出了提高高一学生三角函数运算求解能力的对策有:重视基础知识、基本技能的教学,提高运算的准确性;强化思维训练,提高运算的合理性、简捷性;明确算法算理,培养选择合理算法的能力;正确处理三对关系,培养学生迅速运算的能力;加强数学思想方法的教学;重视学生的非智力因素的培养,提高学生的运算求解能力.本研究可为高中一线数学教师在三角函数教学方面提供一定的参考价值,使学生达到运算正确、合理,进而简捷、迅速,最后达到灵活运算的目的,为以后的数学学习奠定基础.
[Abstract]:Trigonometric function is one of the important contents of high school mathematics. The ability of calculating and solving is one of the main factors that affect students' mathematics achievement. Senior one is the key stage of middle and high school linking up and training mathematics operation ability. In reality, there are many problems in the ability of trigonometric function solving for Senior one students, so it is very meaningful to study the present situation of trigonometric function solving ability of Senior one students and to put forward training ways. Based on the investigation of the main problems in the ability of solving trigonometric function, the author analyzes the factors that influence the development of the ability of solving trigonometric function in Senior one. Furthermore, some countermeasures are put forward to improve the ability of trigonometric function calculation in Senior one students. According to the new curriculum standard and the actual situation of the first grade high school students, the author made the trigonometric function calculation to solve the ability test, and carried on the ability test to the higher part of the students in the school that the author taught. Some teachers and students have been interviewed and found that there are three main reasons for the poor ability of solving trigonometric functions in Senior one students: one is the cause of the textbook, the other is the reason of the students themselves, and the third is the reason of the teachers. On the basis of the theoretical and practical experience and research results of some experts and teachers, and the author's practical experience for many years, this paper puts forward some countermeasures to improve the ability of trigonometric function calculation of the students in Senior one: to attach importance to basic knowledge, The teaching of basic skills improves the accuracy of operation, strengthens the training of thinking, improves the reasonableness and simplicity of operation, clarifies the calculation of algorithm, cultivates the ability of selecting reasonable algorithm, correctly deals with three pairs of relations, and cultivates the ability of students to calculate quickly. Strengthen the teaching of mathematics thought method, pay attention to the cultivation of students' non-intelligence factors, improve the students' ability of calculating and solving. This study can provide a certain reference value for senior high school mathematics teachers in the teaching of trigonometric functions, so that students can achieve correct, reasonable, simple and rapid operation, and finally achieve the purpose of flexible operation. To lay the foundation for later mathematics study.
【学位授予单位】：天水师范学院
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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