高中数学化归思想培养探究

An Exploration on the Mathematics Conversion and Concatenation in Senior High School

摘要: 数学化归思想是高中数学中一种重要思想，其对学生解题能力与数学素养的培养起着不可忽视的作用。为积极响应国家新课改的相关要求，提高教师授学生以“渔”的意识，文章通过分析化归思想的基本内涵，结合实例探究化归思想方法在高中学习中的应用，如特殊与一般、常量与变量、函数与方程等，总结归纳新时代数学教师如何在课堂上正确渗透化归思想进行论述。教师通过指导学生体会转化和归结过程的重要性，感受化归思想方法形成的过程，让学生在解题活动中训练数学化归思维，从而锻炼学生的数学逻辑思维，提高数学素养。

Abstract: Mathematics conversion and concatenation is an important thinking in high school mathematics, which has an irreversible role in the cultivation of student solving ability and mathematics literacy. In order to actively respond to the relevant requirements of the national new curriculum reform, improve teachers’ awareness of teaching students to fish. This article summarizes how the new era math teachers to infiltrate the thought of mathematics conversion and concatenation in class correctly. This paper also researches the application of mathematics conversion and concatenation by combining instance like special and general, constants and variables, functions and equations, etc. in high school math class to analyses of the basic connotation of the idea. By guiding students to appreciate the importance of the process of transformation and induction and to feel the process of forming the idea of Mathematics conversion and concatenation, teachers allow students to train Mathematical transformation and inductive thinking in problem solving activities, so as to exercise students’ mathematical logical thinking and improve mathematical literacy.