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新课改的纵深发展带动了课堂教学的革新,《初中数学新课标》要求:“学生了解数形结合的思想、分类的思想、化归的思想、类比的思想和函数的思想等.”数学结合思想是数学中最为常用的解题方法.运用一定的数学思想方法进行教学能够从根本引导学生的学习探究欲望,强化学生的思维发展,促进学生数学体系认知结构的形成.同时,数与形作为数学的两大核心内容,二者之间有着密切的关联性,数形结合的运用能够将抽象的数学知识具体化,便于学生更直接的探究、总结等等.
The new curriculum reform in-depth development led to the innovation of classroom teaching, “Junior High School Mathematics New Curriculum” requires: "Students understand the combination of digital ideas, classification of thought, the return of thought, analogy thought and function of thought. Mathematics combination thinking is the most commonly used method of solving problems in mathematics.Using a certain mathematical method to guide the teaching can fundamentally guide students’ desire for learning and exploring, strengthen students’ thinking development, and promote the formation of cognitive structure of students’ mathematics system. , Number and shape as the two core contents of mathematics, there is a close relationship between the two. The combination of number and form can abstract the mathematical knowledge, to facilitate students to more directly explore, summarize and so on.