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(一) 代數除法部分 I.教學目的 這一個單元的教學目的是使學生透徹瞭解“除法”的意義從而掌握除法的法則特別是多項式除法的法則,所謂瞭解除法的意義乃是指在教學當中不可僅使學生機械地記住一些死的方法而未諳其理由,因為如果這樣的話,則學生所記住的法則不但不能鞏固地掌握。而且在演算習題的時候,也不能根據理論来自己檢查其是否錯誤,所謂掌握除法的法則乃是指在理解理論的基礎上要求對法則特別熟習,演算得正確迅速。Ⅱ. 教學上的幾個具髏問題 1.在講除法的開始——單項式的除法——時,應該先清楚地講明白“所謂A÷B乃代表一個合於BC=A的C,根據這個定義,便可知: a~m÷a~n=a(m-n) (m>n),
(1) Algebraic Division I. Purpose of Teaching The purpose of this unit is to provide students with a thorough understanding of the meaning of “division” in order to master the laws of division, especially the law of polynomial division. The meaning of the so-called dismissal method is that it cannot be used in teaching. It is only for the students to memorize some dead methods mechanically, and the reason is not justified, because if so, the rules that the students remember will not only not be firmly grasped. Moreover, in the course of calculating problems, it is not possible to check for errors based on theory. The principle of mastering division refers to the requirement to be familiar with the rules on the basis of comprehension theory, and the calculation is correct and rapid. II. Problems with teaching: 1. When speaking about the beginning of the division - the division of the monomial, it should be clearly understood that "the so-called A÷B represents a C that fits BC=A, according to this By definition, we know that: a~m÷a~n=a(mn) (m>n),