思维导图在数列教学中的应用研究

发布时间：2018-02-15 04:16

本文关键词： 思维导图数列教学　出处：《天津师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：通过对高中数学教材的内容来分析,能够看出人教版必修5中的数列章节中含有大量重要的数学思想方法,并且这些方法对这高中阶段的数学学习具有重要的意义。但是需注意的是,现阶段在数列部分教学的过程中面临着部分待解决的问题。例如数列这章的概念,公式较多,学生学习过程中会出现知识点之间的关系凌乱,缺少对知识的整体认知等问题,导致教学效率不高。对此,本文通过理论与实践相结合的方式,在高三复习阶段借助于思维导图工具来对数列进行教学,以实现提升教学质量与教学效率的目标。本文在研究的过程中,包含以下几点：第一部分是问题的提出。主要阐述了数列这部分内容在高中教材中的重要地位。同时也分析了学生对这部分内容的掌握情况。着重论述了学好和教好这部分内容的重要意义,同时也阐述论文研究的意义和展现了全文的组织结构。第二部分是核心概念界定。主要是对本文提到的“思维导图”、“数列”、“思维导图与概念图的异同”等概念进行界定与说明。第三部分主要是对思维导图的研究现状以及国内文献进行整理。首先重点分析在教育领域中思维导图的作用,并阐述了国内外在该领域的研究现状与成果。第四部分为理论依据。具体从心理学、教育学以及哲学等多个方面,对思维导图的教学进一步研究。第五部分实践数据证明研究。即现状调查、分析与转变策略。这也是本文的重点,本此研究对50名高中三年级学生作为调查对象进行了思维导图调查前期问卷及总结、思维导图调查中期问卷及总结。本文分别采用了比较研究和个案研究的方法进行详尽的分析。本人结合自己多年的一线教学经验,通过具体对思维导图工具的价值与作用进行分析后,分析改变课堂教学与学生心理状态的相关对策,以实现促使学生能够运用思维导图的方法轻松地学好数列这部分内容的目的。第六部分为案例分析。本章节主要是借助于教学实例,来对思维导图的教学策略进行优化,同时也是对转变策略可操作性的检验。第七部分是结论与建议。对本论文进行总结的同时,对自己的研究成果进行反思,并就教学及教师所起到的作用提出不同的建议。通过全文的阐述与分析,能够看出在数列部分教学的过程中,教学质量与教学效率不高的原因,与学生的智商、教师的责任心等因素都没有直接关系。而是教师没有寻找到适合学生学习的教学方法,加上学生无法与教师的教学内容相配合,便导致无法很好的理解与掌握数列的相关知识。对此,教师在数列教学时应该制定符合学生实际情况的教学方法,有效的将思维导图的教学模式融入到其中,正所谓“因材施教”,“教学相长”。
[Abstract]:By analyzing the content of mathematics teaching materials in senior high school, we can see that there are a lot of important mathematical thinking methods in the number series chapters in the compulsory 5 courses in the edition of people's Education. And these methods are of great significance to the mathematics study in the senior high school. However, it should be noted that there are some problems to be solved in the teaching process of the sequence of numbers at this stage. For example, there are many formulas for the concept of the chapter on the sequence of numbers. In the course of students' study, the relationship between knowledge points will appear in disorder, the lack of overall cognition of knowledge and so on, which leads to the low efficiency of teaching. In this paper, through the combination of theory and practice, In order to achieve the goal of improving the teaching quality and teaching efficiency, this paper makes use of the thinking mapping tool to teach the number series in the stage of senior high school review. It includes the following points: the first part is the problem. It mainly expounds the important position of the sequence of numbers in the teaching materials of senior high school. At the same time, it also analyzes the students' mastering of this part of the content. The importance of teaching this part, The second part is the definition of the core concepts. It mainly introduces the concepts of "thinking map", "number series", "the similarities and differences between thinking map and concept map" and so on. The third part is mainly about the research status of thinking map and the domestic literature. Firstly, it focuses on the role of thinking map in the field of education. It also expounds the current situation and achievements of the research in this field at home and abroad. Part 4th is the theoretical basis. It is based on psychology, pedagogy and philosophy, etc. Further research on the teaching of thinking map. 5th part of the practical data proof research. Namely, current situation investigation, analysis and transformation strategy. This is also the focus of this paper. In this study, 50 third-year high school students were surveyed with a preliminary questionnaire and a summary of the mental mapping survey. The method of comparative study and case study is used in this paper to carry out detailed analysis. After analyzing the value and function of thinking mapping tools, this paper analyzes the relevant countermeasures to change the classroom teaching and students' mental state. In order to realize the purpose of promoting students to learn the content of number series easily by using the method of thinking map. 6th part is case study. This chapter is mainly to optimize the teaching strategy of thinking map with the aid of teaching examples. At the same time, it is also a test of the maneuverability of the transformation strategy. Part 7th is the conclusion and suggestion. Through the analysis of the full text, we can see the reasons why the teaching quality and teaching efficiency are not high, and the intelligence quotient of the students. There is no direct relationship between teachers' sense of responsibility and other factors, but the teachers' failure to find a teaching method suitable for students' learning, and the students' inability to match the teaching contents of the teachers. Therefore, the teacher should make the teaching method in accordance with the actual situation of the students, and effectively integrate the teaching mode of thinking map into the teaching mode, which is not good enough to understand and master the relevant knowledge of the sequence of numerals, so that the teacher should make the teaching method which is in accordance with the actual situation of the students in the teaching of the series. The so-called "teaching according to their aptitude", "teaching each other."
【学位授予单位】：天津师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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