开启思维之门:加减法的实质与拓展

Opening the Door of Thinking:the Essence and Development of Addition and Subtraction

加减法是数学中最基本的运算,对其实质进行研究,对其运算范围进行拓展,能开启学生思维之门,促进学生思维发展。文章结合加减法的起源,揭示了加减法(运算能进行)的实质,实现了从小学到大学诸多数学知识的融合与统一,使刚学加减运算的学生就能解决整式、根式、复数、向量、矩阵的加减运算问题。

Addition and subtraction is the most basic operation in mathematics.Studying its essence and expanding its operation range can open the door of students'thinking and promote the development of students'thinking.Combined with the origin of addition and subtraction,this paper reveals the essence of addition and subtraction(operation can be carried out),realizes the integration and unification of many mathematical knowledge from primary school to university,and enables the students who have just learned addition and subtraction to solve the addition and subtraction problems of integral,radical,complex,vector and matrix.