分类号： 学校代码： 10165 密 级： 学 号：201020017
教育硕士专业学位论文
变式教学在高一数学教学中的应用
作者姓名：
陈雪
学科教学（数学） 专业方向：
吴华教授 导师姓名：
2012年06月
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辽宁师范大学硕士学位论文
摘要
我国一直都很重视“双基”教育，这与我国教师在教学上进行变式教学有很大的关系。变式教学是保证学生成绩最有效的方法之一，同时可以培养学生的创新精神，大大提升学生的认知能力。但是由于现在教学参考的逐步完善，很多教师并没有在变式教学上作过多的研究，进而在课堂教学上没有将变式教学的功效发挥到最大，更多的只是解题训练。还有很多教师没有真正深入理解变式教学理论，造成“题海战术”变成达到理想成绩的唯一手段，这不得不说是我国教育上的一大误区。
近年来，我国进行了新的课程改革，素质教育这一理念更是得到了大力提倡，那么在教育教学上就必须改变以往的应试思想，变式教学的深入探究就显得尤为重要了。通过对国内外变式教学概况的研究，结合自己的实习教学经验，分析了一些教学案例，对变式教学在高中数学教学上的引用做了进一步的探究。
本文先将提出问题，阐述数学变式在教学中的目的及意义，概述国内外对数学变式教学的研究，进而提出本文的创新之处。进一步明确变式教学、数学变式和数学变式教学的概念，对数学变式教学的相关理论进行概述。对概念性和过程性两种数学变式从教学含义、教学原则及策略进行阐述，并有针对的进行教学案例分析，希望能对一线教师在教学上提供一些参考。最后从中探究到数学变式教学在实际教学中需要注意的几个问题，对数学变式教学在我国的发展进行反思和展望。
关键词：变式教学；教学；高中数学
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变式教学在高一数学教学中的应用
The Application of Mathematics Variation in the teaching of Grade One of
High School
Abstract
It is acknowledged that basic knowledge and skills have been paid much attention to in China, which has close relationship with the application of variation pedagogy in mathematics by teachers.Variation pedagogy is one of the most effective methods of improving learning results, and at the same time it can cultivate students’ innovation and their cognitive abilities. Although the teaching reference is developing gradually at present, the research of variation is relatively less. Therefore the significances of variation pedagogy may not take effect completely in classroom with the training of solving problems. Many teachers are not able to understand variation pedagogy deeply as a result of the sea tactical exercises becoming the only measure to improve learning results, which is the misunderstanding of Chinese education.
In recent years, a new curriculum has reformed in our country and quality oriented education has been advocated strongly. It is important for teachers to change their previous thought of exam oriented and research variation pedagogy deeply. Based on research status at home and abroad and the practical teaching experience, the author analyzes some teaching cases and explores the quote of variation pedagogy in mathematic in senior high school.
This paper raises questions firstly, and then elaborates the purposes and significances of variation in mathematics, illustrates the research achievement at home and abroad, as well as the innovative points. Moreover, the author puts forward the concepts of variant teaching, mathematics variation and mathematics variation teaching, expounding the related theories of mathematics variation teaching. Also the conceptual and procedural mathematics variation are explained on notional, principle and strategical aspects with the analysis of teaching case studies, in hope of supplying some references for teachers. Lastly, this paper makes a thorough inquiry of several problems that need to be paid attention to in actual teaching, and some reflections and prospects from mathematics variation.
Keywords: variant teaching; teaching; mathematics in senior high school
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辽宁师范大学硕士学位论文
目 录
摘要 ...................................................................... I Abstract ................................................................. II 1 绪论 .................................................................... 1
1．1问题的提出 ............................................................................................................... 1 1．2研究的意义与目的 ................................................................................................... 1 1．3研究的方法 ............................................................................................................... 2 1．4本文的主要内容 ....................................................................................................... 2 1．5本文的创新之处 ....................................................................................................... 2 2 文献综述 ................................................................ 3
2.1国外对数学变式教学的研究概况 ............................................................................. 3 2.2国内对数学变式教学的研究概况 ............................................................................. 3 3 数学变式教学相关理论概述 ................................................ 5
3．1数学变式教学 ........................................................................................................... 5
3．1．1变式的定义 ................................................ 5 3．1．2数学变式、数学变式教学的含义 .............................. 5 3．2数学变式教学理论基础 ........................................................................................... 5
3．2．1 变异理论 .................................................. 5 3．2．2脚手架理论 ................................................ 5 3．2．3建构主义学习理论 .......................................... 6 3．2．4有意义学习理论 ............................................ 6
4 概念性变式教学 ......................................................... 7
4．1概念性变式教学的含义 ........................................................................................... 7 4．2概念性变式的教学原则及策略 ............................................................................... 8 4．3高一数学概念性变式的教学实例 ........................................................................... 9 5 过程性变式教学 ........................................................ 13
5．1过程性变式教学的含义 ......................................................................................... 13 5．2过程性变式的教学原则及策略 ............................................................................. 13 5．3 高一数学过程性变式的教学实例 ....................................................................... 14 6 数学变式在高中应用的问卷调查分析 ...................................... 16
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