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学生在课堂上学习的数学知识,大致上可以区分为两个方面:教材知识和拓展知识.前者指的是教材中给出的知识,包括数学概念及其定义、基本性质和定理、法则等;后者指的是教材中没有写出,但可以从教材知识出发推导而得的数学知识.作为高中核心课程之一,数学学科教学时间长,而教材知识相对有限,拓展知识教学具有现实意义.长期以来,把拓展知识课教成解题课的现象比较普遍.许多教师不重视拓展知识产生过程的教学,
The mathematics knowledge that students study in the classroom can roughly be divided into two aspects: the teaching material knowledge and the expanding knowledge.The former refers to the knowledge given in the textbook, including the mathematical concepts and definitions, the basic nature and the theorems and laws, The latter refers to the mathematical knowledge that is not written in the textbook, but can be deduced from the textbook knowledge.As one of the high school core courses, the mathematics subject has a long teaching time, but the textbook knowledge is relatively limited and it is of practical significance to expand knowledge teaching. For a long time, it is common to teach the expansion of knowledge to solve problems, many teachers do not attach importance to the teaching of expanding knowledge generation process,