函数奇偶性的概念教学研究

发布时间：2018-04-17 22:10

本文选题：数学概念 + 概念教学　；参考：《西北大学》2016年硕士论文

【摘要】：函数是数学中一个重要的概念,而函数的奇偶性是函数教学的一个重要组成部分,通过学习函数的奇偶性可以加强学生对函数整体理解及全面分析考虑函数的性质和图像特点。函数的奇偶性教学作为一节概念课,价值体现在发现概念过程中思维的建构以及对思想方法的把握。本文是以概念形成的过程为中心环节,以相关理论为指导,针对教学过程中出现的问题提出相应的教学思路和教学建议。首先,对概念教学的一般理论及教学方式等进行研究,作为支撑本论文的理论部分:接着对函数奇偶性的概念教学进行研究,先分别从知识本身、课程要求以及教学的角度对函数奇偶性进行一个比较全面的认识；再通过访谈法,案例分析对比的方式,对函数奇偶性的教学情况进行研究分析,发现问题并结合相关理论和课程标准等对教学的要求,提出相应的优化思路和具体建议：数形结合的教学过程、设置合理的探究问题、探究过程方式多样化、全方位理解概念、形成概念系,完善认知结构、渗透数学思想方法；最后,对所作工作进行总结概括,并反思研究工作中不完善的地方,便于下一步的改进完善。
[Abstract]:Function is an important concept in mathematics, and the parity of function is an important part of function teaching. By studying the parity of function, students can enhance their understanding of function as a whole and analyze the properties of function and the characteristics of image.As a concept course, the value of function parity teaching lies in the construction of thinking and the grasping of thought method in the process of discovering concept.This paper takes the process of concept formation as the central link, with the guidance of relevant theories, and puts forward the corresponding teaching ideas and teaching suggestions for the problems in the teaching process.First of all, the general theory and teaching method of concept teaching are studied as the theoretical part of this paper. Secondly, the concept teaching of function parity is studied, first from the knowledge itself,The course requirement and teaching angle carry on a relatively comprehensive understanding to the function parity, then through the interview method, the case analysis contrast way, carries on the research and the analysis to the function parity teaching situation,Find the problem and combine the related theory and curriculum standard to the teaching request, put forward the corresponding optimization train of thought and concrete suggestion: the teaching process of the combination of number and form, set up the reasonable inquiry question, explore the process way diversification, understand the concept in all directions,Form the concept system, perfect the cognitive structure, infiltrate the mathematics thought method; finally, summarize and summarize the work done, and reflect on the imperfect place in the research work, so as to improve and perfect the next step.
【学位授予单位】：西北大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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