基于学生思维培养的数学课堂教学设计——以“一次函数与方程、不等式”为例

The Design of Mathematics Classroom Teaching Based on Students’ Thinking Development—Taking “Primary Functions and Equations, Inequalities” as an Example

摘要: 数学课堂是发展学生数学思维的重要途径。培养学生数学思维，需要教师长期地、有计划地进行，因此，数学课堂的教学需要有目的地进行设计。以“一次函数与方程、不等式”为例，基于发展学生数学思维，将数形结合思想贯穿整个课堂教学过程，借助转化与化归，从特殊到一般的数学思想方法，通过一次函数将一元一次方程、一元一次不等式有机整合，凸显函数思想。

Abstract: The mathematics classroom is an important way to develop students’ mathematical thinking. To develop students’ mathematical thinking, teachers need to plan for a long time; therefore, the teaching of mathematics classroom needs to be designed purposefully. In this study, we take “primary functions, equations and inequalities” as an example. Based on the development of students’ mathematical thinking, we integrate the ideas of number and shape throughout the whole classroom teaching process, with the help of transformation and generalization, from special to general mathematical thinking methods, and integrate primary equations and inequalities through primary functions, highlighting the idea of functions.