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初中数学是以数学知识的发生、发展、运用为主编写教材的知识内容显而易见,是明线。但数学知识在发生、发展、运用的过程中,对于数学知识中所蕴含的数学思想方法并未明确指出,是暗线。这就要求教者充分挖掘教材知识中尽可能渗透出的数学思想方法去组织课堂教学。如对于四边形的研究,是通过作四边形的对角线把它转化为三角形,并应用三角形的知识来研究;教学平行四边形知识后,通过添加辅助线把梯形化归为平行四边形和三角形,并应用
Junior high school mathematics is based on the occurrence, development and application of mathematical knowledge, the content of the textbook is obvious, is a clear line. However, mathematical knowledge in the occurrence, development, the use of the process, mathematical knowledge contained in the mathematical method is not explicitly pointed out that the dark line. This requires that learners fully tap the teaching of mathematical knowledge as much as possible to infiltrate the mathematical thinking and methods to organize classroom teaching. As for the study of the quadrilateral, it is through the diagonal of the quadrilateral it is converted into a triangle, and the application of knowledge of the triangle to study; teaching parallelogram knowledge, through the addition of auxiliary trapezoidal line into parallelograms and triangles, and application