# 数学教学中的类比思想与“异课同构”Research on Analogy Thought and “Different Topics with Similar Lessons” in Mathematics Teaching

DOI: 10.12677/CES.2018.65062, PDF, HTML, XML, 下载: 457  浏览: 1,083  科研立项经费支持

Abstract: The new curriculum standard advocates the need to penetrate mathematical ideas in the process of mathematics teaching. As an important mathematical idea, analogy thought often appears in the classroom teaching and is getting more and more attention from educators. Through the study of analogy thought, students develop the habit of analogy thinking, stimulate the enthusiasm of self-exploration of new knowledge, and improve their thinking way. This paper, based on the two sections of “Different Topics with Similar Lessons”, analyzes the specific implementation methods of analogy thought in the process of mathematics teaching, and provides some help to improve the teaching effectiveness.

1. 引言

2. 教学背景介绍及教学片断分析

2.1. 教学片断一：利用情境，生成定义

2.1.1. 对数函数定义的生成过程

2.1.2. 等比数列定义的生成过程

2.2. 教学片断二：动手实践，合作探究

2.2.1. 对数函数图像的生成过程

Table 1. Uses the logarithmic algorithm example table

Figure 1. Logarithmic operation example diagram

2.2.2. 等比数列通项公式的生成过程

2.3. 教学片断三：类比归纳，探究性质

2.3.1. 对数函数性质的生成过程

2.3.2. 等比数列性质的生成过程

Table 2. Comparison of the properties of logarithmic functions

Table 3. Contrast series comparison proportional series

3. 类比思想的重要性

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