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我们认为《全日制六年制重点中学数学教学大纲(草案,征求意见稿)》(以下简称《大纲》),在教学目的、教学内容的确定、教学内容的安排、教学中应注意的事项以及各科的教学要求和教学内容等几个方面,制定得比较恰当。对全日制重点中学来说,《大纲》基本可行。现就一些具体问题谈谈我们的意见。 1.《大纲》对高中数学内容划分为三种类型,虽然大体明确第一类型为文理不分科型,第二类型侧重文科班,第三类型侧重理科班,但各种类型在内容选择上的根据,应有适当说明。同时,这种分类的做法,还要与其它学科的教学大纲协调一致,以保证整个教学安排和谐统一。 2.《大纲》中平面三角未单独设科,而将它归入代数。平面三角包括两部分内容:三角函数(包括反三角函数和三角方程)部分和解三角形部分。按它们各自的特点,可将前者归入代数,后者归入几何,这比《大纲》现在的做法更为合适。为此,解三角形可放在初中三年级“圆”一章之后。相应地将该年级的教
We believe that the “six-year key middle school mathematics syllabus (draft, solicitation draft)” (hereinafter referred to as the “outline”) should be noted in the purpose of teaching, the determination of teaching content, the arrangement of teaching content, and teaching. The teaching requirements and teaching contents of each subject are properly formulated. For full-time key middle schools, the Outline is basically feasible. Let us talk about our opinions on some specific issues. 1. The “Outline” divides the high school mathematics into three types. Although it is generally clear that the first type is arts and sciences, the second type focuses on liberal arts classes, and the third type focuses on science classes, but various types of content are selected. According to it, it should be properly explained. At the same time, this classification approach must be coordinated with the syllabus of other disciplines to ensure that the entire teaching arrangement is harmonized. 2. The Plane Triangle in the Outline does not have a separate section and it is subsumed into algebra. The plane triangle consists of two parts: trigonometric functions (including inverse trigonometric functions and trigonometric equations) and partial resolving triangles. According to their respective characteristics, the former can be categorized into algebra, and the latter into geometry, which is more appropriate than the current practice of the Outline. For this reason, the solution triangle can be placed after the third chapter of the “circle” chapter. Correspondingly teaches the grade