初高中数学中函数模块教学衔接问题的探讨

发布时间：2018-07-25 09:37

【摘要】：函数在数学领域里占有重要地位,对于初高中的函数部分,存在着一定的差异和联系。尤其是新课改之后,显然,函数部分的教学成为了联系初高中数学的枢纽,而高中函数要求的层次更深。函数的教学,是高中数学的首要教学任务,它涉及到数列、不等式、方程、微积分、线性规划等多个数学领域的教学。本文利用教育学和心理学的相关理论,对如何做好初高中函数教学的衔接,从多角度做了系统的研究。本文的研究目的是克服初高中函数部分教学中,在教法和学法等方面存在的衔接不当问题。探讨有效的“教”与“学”的策略,更好的服务于高中教学,激发学生的兴趣,让学生真正领悟到函数思想,注重学生的情感和价值观的培养。实现人人学有价值的数学,人人都获得必需的数学,不同的人在数学中得到不同的发展。在研究过程中通过文献法,大量收集、鉴别、整理了有关初高中函数教学相关的文献,形成了科学的认识。通过问卷调查法,利用科学理论依据制定调查问卷,有针对性的对延吉市第三高级中学的学生进行了有关函数部分教学内容的相关调查。通过访谈法对部分高中教师进行了访谈。根据调查和访谈结果得出,初高中函数教学衔接问题的成因为：初高中学生的学习特点不同,教师的教学特点不同,初高中教材中函数内容的编排不同,《课程标准》中函数教学的目标不同。通过研究得出,解决初高中函数教学衔接问题的策略为：提高教师自身素养,为函数教学做好准备；做好统筹安排,提高教学效率；根据学生认知能力,提高其解题能力；注重学生相关思维和思想方法的培养；合理利用多媒体教学；引导学生积极正确的对待函数的学习；重视学生学习方法和学习效率的培养；有效利用课下时间强化学生能力的训练。在最后的结束语部分,对全文进行总结与展望,并对本文的不足进行小结。
[Abstract]:Function plays an important role in the field of mathematics. Especially after the new curriculum reform, it is obvious that the function part of the teaching has become the link between the middle and high school mathematics, and the senior high school function requires a deeper level. The teaching of function is the most important teaching task in senior high school mathematics. It involves the teaching of number series, inequality, equation, calculus, linear programming and so on. Based on the relevant theories of pedagogy and psychology, this paper makes a systematic study on how to link up the function teaching in middle and high schools from various angles. The purpose of this paper is to overcome the problem of improper connection between teaching method and learning method in the function part of junior high school. This paper discusses the effective strategies of "teaching" and "learning", which can better serve the teaching of senior high school, arouse students' interest, let students truly understand the thought of function, and pay attention to the cultivation of students' emotion and values. Realize that everyone learns valuable mathematics, everyone gets the necessary mathematics, different people get different development in mathematics. In the course of the research, a large number of documents are collected, identified, and related documents about function teaching in middle and high schools are sorted out, and a scientific understanding is formed. By means of questionnaire survey and scientific theory, the author makes a survey on the students of the third senior middle school in Yanji. Some senior high school teachers were interviewed by interview method. According to the results of investigation and interview, the causes of the problem of functional teaching cohesion in junior high school are as follows: different learning characteristics of middle and high school students, different teaching characteristics of teachers, The content of function in middle and high school textbooks is arranged differently, and the goal of function teaching is different in Curriculum Standard. Through the research, the strategies to solve the problem of functional teaching cohesion in middle and high school are as follows: to improve teachers' own accomplishment, to prepare for function teaching, to make overall arrangement, to improve teaching efficiency, to improve students' ability to solve problems according to their cognitive ability, and to improve their ability to solve problems according to their cognitive ability. We should pay attention to the cultivation of students' related thinking and thought methods, make rational use of multimedia teaching, guide students to treat the study of function positively and correctly, and attach importance to the cultivation of students' learning methods and learning efficiency. Make effective use of the time after class to strengthen the training of students' ability. In the last part of the conclusion, the paper summarizes and looks forward to the shortcomings of this paper.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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