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初中数学(特别是几何)学科的教学,普遍存在着“入门难”的问题。为解决这个问题,从一九八二年起,我们在全市30多所中学普遍开展了“平面几何入门教学”的专题研究,取得了一定的成效。这里结合几年来的研究实践,对“入门教学”的一般特点和入门教学应遵循的原则和规律作初步的探讨。一每门学科起始阶段的教学,即所谓“入门教学”,一般具有以下特点: 1.一门新学科的研究对象,往往和它前面的有所不同,也就是说新学科首先“新”在研究对象发生了变化,而且这种变化有时是根本性的。比如,小学数学和初一代数主要是研究“数及其运算”,初中平面几何则以“平面图形及其性质”为主要研
Junior high school mathematics (especially geometry) subject teaching, there is a universal “difficult entry”. To solve this problem, from 1982 onwards, we conducted a special study on “Plane Geometry Primer Teaching” in more than 30 secondary schools across the city and achieved some success. Here combined with several years of research practice, the general characteristics of “introductory teaching” and introductory teaching should follow the principles and rules for preliminary discussion. The teaching of the initial stage of each discipline, the so-called “introductory teaching,” generally has the following characteristics: 1. The subject of a new discipline is often different from its predecessor, which means that the new discipline first “new” The research object has changed, and this change is sometimes fundamental. For example, elementary mathematics and first generation algebra mainly study “number and its operation”, while middle school plane geometry takes “plane graph and its nature” as the main research