中俄教科书立体几何部分比较探讨[俄语论文]

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今朝,我国和俄罗斯都在停止基本教导课程教材的改造。两个国度课程教材改造的基本有很多个性改造之前,两都城是国度集中治理课程,俄语论文范文俄语论文网站,实施同一的教授教养筹划、教授教养年夜纲和教材,两国的课程教材编制都强调体系常识的教授,看重基本常识和根本技巧的造就。在黉舍课程里,没有哪一个数学范畴像几何那样惹起数学家的普遍存眷,几何课程内容的改造历来是国际外数学教导改造中一个极其主要的成绩。本论文研究的成绩是对中俄教科书平面几何部门的比拟研究,研究内容重要包含教科书的常识内容比拟剖析,从教授教养目的、教授教养内容和教授教养建议三个方面停止比拟剖析;教科书的比拟剖析从教科书内容构造及特色和教科书例、习题的比拟剖析。采取的研究办法一是文献法,二是比拟剖析法。比拟的结论,从教授教养目的上,两国教科书的教授教养目的重要集中于详细的数学常识或技巧如许的短时间目的,数学教导的历久目的(如先生才能、情绪和立场的造就等)没有表现;从教授教养内容上,俄罗斯教科书的教授教养内容触及面广,从经典的综合推理到向量代数运算处理平面几何成绩,同时采取积分的办法推导体积公式,并且俄罗斯教科书设计了许多选学内容,对扩大先生的常识面和开辟先生的思想极其有益;从教科书的比拟上,我国的教科书设置栏目多,习题支配具有条理性,俄罗斯教科书栏目设置简略,图形颜色凸起,其最年夜特色是每一个教授教养单位以后的习题都是一个小小的习题体系。经由过程对中俄两国的平面几何教授教养年夜纲和教科书的比拟研究,提出对我国教科书的编写的建议1。看重平面几何的直不雅性;2。恰当表现空间向量的对象价值;3。恰当扩展课程广度;4。重视与立体几何的类比;5。支配恰当的初中的定理和正义的内容。

Abstract:

At present, China and Russia are in the process of teaching materials to stop the transformation of basic teaching. Two national curriculum teaching material reform basic has a lot of personality transformation before. Both are national centralized management of curriculum, and the implementation of the same teaching planning, teaching of the eve of the outline and teaching materials, both curricular stressed professor of systematic knowledge, attention to basic knowledge and basic skills training. In the school curriculum, there is no such a mathematical category as the geometry of the general attention of mathematicians, the transformation of the content of the geometry curriculum has always been a major achievement in the reform of International Mathematics teaching. This thesis research achievements of Sino Russian textbooks plane geometry Department of comparative study, research content important contains textbook knowledge content comparative analysis, from the teaching objectives, teaching content and teaching suggestions in three aspects comparative analysis; textbook than quasi analysis from the content of the textbook structure and characteristics and textbook cases, exercises by comparative analysis. One way to take the research method is the literature method, the two is the comparative analysis method. Compare the conclusion, from the teaching objectives, teaching objectives of the two books important short time to focus on the detailed mathematical knowledge or skills such as the purpose of long-term objective of mathematics teaching (such as creating ability, emotion and Mr position etc.) did not show; from the teaching content, the teaching content of the Russian textbook touch a wide range from classical to vector algebra reasoning processing plane geometry results, while taking measures derived formula of volume integral, and Russian textbooks designed a lot of teaching content, to expand knowledge and open up the thought of Mr. Mr. extremely useful; from the textbook comparison, Chinese textbooks columns, exercises control with a rational, simple set of Russian textbook columns, graphic color projection, its biggest characteristic is every The exercise after a teaching unit is a little exercise system. Through the course of the two countries in the plane geometry teaching class and textbook comparison research, put forward the proposal for the preparation of our textbooks 1. Of plane geometry; 2. The appropriate performance of the object value of the space vector; 3. Extension of course; 4. To attach importance to the analogy with the solid geometry; 5. The right to dominate the middle school's theorem and the content of justice.

目录:

中文摘要   4-5   英文摘要   5-6   引言   8-10   一、文献综述   10-14       (一) 俄罗斯数学教育改革   10-11       (二) 我国立体几何课程的改革   11-12       (三) 立体几何的教育价值   12-14   二、中俄立体几何部分教学大纲的比较   14-23       (一) 教学目标的比较略论   14-15       (二) 教学内容的比较略论   15-21       (三) 教学建议的比较略论   21-23   三、中俄立体几何教科书的比较略论   23-28       (一) 教科书结构特点的比较略论   23-25       (二) 教科书编排特点的比较略论   25       (三) 例、习题的比较略论   25-28   四、结论与建议   28-30       (一) 结论   28       (二) 对我国立体几何课程改革与教科书编写的建议   28-30   参考文献   30-32   后记   32  

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