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“没有矛盾就没有世界”,初中列方程解应用题的教学过程中充满了矛盾。既有教学内容的重要与学生感到困难的矛盾,又有算术解法与代数解法的矛盾,还有列一元方程与多元方程组的矛盾……一系列的矛盾呈现在我们面前,唯有全面、认真地分析与处理矛盾,才能把应用题的教学任务切实完成。一、抓住基本矛盾——全力寻找相等关系。解答各种类型的应用题,都要按“设”、“列”、“解”、“答”的步骤进行,在这些步骤中,最重要的就是“列”,即找出相等关系,并把它用等式表达出来,因此我们把找相等关系作为列方程解应用题的基本矛盾。
“There is no world without contradictions”. The teaching process of solving problems of junior high school equations is full of contradictions. There are contradictions between the importance of teaching content and students' difficulty, the contradiction between arithmetic solution and algebraic solution, and the contradiction between column-one-equation and multivariate equations ... A series of contradictions are presented to us, only comprehensively and conscientiously To analyze and deal with conflicts in order to effectively apply the teaching task. First, seize the basic contradictions - all efforts to find the same relationship. The answers to various types of questions should be based on the steps of “set,” “column,” “solution,” and “answer.” The most important of these steps is “column” It is expressed by the equation, so we find the equivalence as the basic contradiction of the solution to the column equation.