高中函数有效教学研究

发布时间：2019-03-06 20:12

【摘要】：有效教学是一种先进的教学理念,函数是连接着几何、方程、不等式、数列等分支的重要数学内容,国内外学者对“函数”和“有效教学”的研究非常多。而针对高中函数这一具体学科内容,如何站在有效教学的高度探讨其教学实践的研究还不多。本文研究的目的在于探索函数有效教学的策略,并通过多次测试反馈发现其理念的函数教学模式是非常成功的。新课程改革发展的意义、人才发展的意义、函数教学本身的意义和实践应用的意义等都使得对函数有效教学的研究提上日程。本论文的主要研究方法有文献研究法、问卷调查法和访谈法。通过国内外文献了解有效教学理论和函数教学实施情况,问卷调查法用于了解高中生对函数和有效教学的理解与认识、高中函数测试卷用来了解学生对知识的掌握情况,访谈法深入了解一线师生,对研究问题加以完善。本文以有效教学理念为依托,针对学生函数内容掌握的薄弱点,从现状展开研究,用理论指导教学实践,用测试检验实践效果。首先介绍了有效教学的理念,分析了高中函数内容,在此基础上展开高中函数教学现状的调查与分析。然后根据调查现状探讨给出高中函数有效教学的策略,并将这些策略用于案例设计中,一个是大开一中普通理念的案例设计,另一个是有效教学理念的案例设计。最后结合两种不同理念的案例设计,通过历时近两个月的教学实验和三种不同形式的测验,做了有效教学实施的效果评估与结果分析。论文研究的主要结论为高中函数有效教学的开展需靠学校、教师和学生三方面的努力,其中教师起主体作用。高中数学教师都能正确理解有效教学理念,辅助信息技术,以润物细无声的形式开展有效教学,但高中生对函数的概念、性质和思想方法的认识上还有盲区,解决函数问题时缺乏技巧仍需教师的指导。通过案例设计和不同形式的测验评估,用事实证明了采取有效教学理念的施教效果是及其显著的。
[Abstract]:Effective teaching is an advanced teaching idea. Function is an important mathematical content connecting geometry, equation, inequality, sequence of numbers and so on. There are many researches on "function" and "effective teaching" by scholars at home and abroad. However, in view of the specific subject content of high school function, there is not much research on how to stand on the height of effective teaching and how to discuss its teaching practice. The purpose of this paper is to explore the effective teaching strategy of function, and find that the function teaching mode of its idea is very successful through many tests and feedback. The significance of the reform and development of the new curriculum, the significance of the talent development, the significance of the function teaching itself and the significance of the practical application all make the research on the effective teaching of the function put on the agenda. The main research methods of this paper are literature research, questionnaire survey and interview. Through the domestic and foreign literature to understand the effective teaching theory and the function teaching implementation situation, the questionnaire survey method is used to understand the high school students to function and the effective teaching understanding and the understanding, the senior high school function test paper is used to understand the student to the knowledge grasps the situation, Interview method in-depth understanding of front-line teachers and students, to improve the research issues. Based on the concept of effective teaching and aimed at the weakness of the students' function content, this paper studies the present situation, guides the teaching practice with theory, and tests the effect of practice. This paper first introduces the concept of effective teaching, analyzes the content of high school function, and on this basis, carries out the investigation and analysis of the present situation of high school function teaching. Then, according to the present situation of investigation, the effective teaching strategy of high school function is discussed, and these strategies are used in the case design, one is the case design of the general idea in the open-up one, the other is the case design of the effective teaching idea. Finally, combined with two different ideas of case design, through nearly two months of teaching experiments and three different forms of tests, the effectiveness of effective teaching evaluation and analysis of the results. The main conclusion of this paper is that the effective teaching of high school function depends on the efforts of school, teachers and students, in which teachers play the main role. High school mathematics teachers can correctly understand the concept of effective teaching, assist information technology, and carry out effective teaching in the form of silently nourishing all things. However, there are still blind spots in senior high school students' understanding of the concept, nature and ideological methods of functions. The lack of skills in solving functional problems still requires the teacher's guidance. Through case design and different forms of test evaluation, it is proved by facts that the teaching effect of adopting effective teaching idea is remarkable.
【学位授予单位】：辽宁师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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