大学生几何训练的若干问题

A. Boykov, K. Egiazaryan, A. Efremov, N. Kadykova
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引用次数: 3

摘要

值得注意的是,几何和图形学科传统上给研究小学生带来了困难。有人指出,对教育质量和确保学习成绩的要求是相互对立的,并且与有限的教学时数相冲突,而教学时数多年来一直在稳步下降。所提供的数据是关于俄罗斯大学分配给几何和图形学科研究的学时数。列举了学生几何图形训练中出现问题的主要原因。第一个原因是试图在课堂时间短缺的情况下,从三个不同的部分——数学(描述几何)、计算机科学(计算机图形学)和工程(工程图形学)——传授知识和技能。提供有关描述几何、工程图形等经典教科书内容的信息。第二个原因是空间思维发展的复杂性。值得注意的是,促进对图像的理解的信息技术并没有解决空间思维发展的问题。在空间思维的心理生理特征和各种类型的数学思维方面,给出了学生的异质性信息。第三个原因是学生的前期准备不足。指出了其特点和原因。提出了提高学生学习几何图形学科动机的主要途径。第四个原因是学生没有做好独立作业的准备。给出了原因。提出了提高学生自主学习效率的主要途径。详细讨论了图形任务解的测试和自动验证形式的自动控制的缺点。第五个原因是不同的教育领域、专业和概况对几何和图形训练的要求不同。注意到在学科的几何循环中存在不变的(不同专业和培训概况常见的)核心和学科设置。六是几何图形学科对讲师的要求较高。指出了高等学校几何图形教育教学人员的培养问题。得出的结论是,需要建立一个考虑到并解决这些问题的方法学培训制度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Problems of geometric-graphic training of university students
It is noted that geometric and graphical disciplines traditionally cause difficulties in studying elementary students. It is pointed out that the requirements for the quality of education and ensuring academic performance are mutually inverse and are in conflict with the limited number of teaching hours, which has been steadily declining for many years. Data are given on the number of hours allocated for the study of geometric and graphic disciplines in Russian universities. The main reasons for the problems of geometric and graphic training of students are listed. The first reason is an attempt to give knowledge and skills from three different sections - mathematics (descriptive geometry), computer science (computer graphics) and engineering (engineering graphics) in conditions of shortage of classroom hours. Provides information about the content of classical textbooks of descriptive geometry, engineering graphics. The second reason is the complexity of the development of spatial thinking. It is noted that information technologies that facilitate the understanding of images do not solve the problem of the development of spatial thinking. Information is given on the heterogeneity of students in terms of the psychophysiological features of spatial thinking in general and in terms of various types of mathematical thinking. The third reason is the poor initial preparation of students. Features and reasons are indicated. The main ways of increasing the motivation of students to study geometric and graphic disciplines are given. The fourth reason is the unpreparedness of students for independent work. Reasons are given. The main ways of increasing the efficiency of students' independent work are given. The shortcomings of automatic control in the form of testing and automatic verification of solutions of graphic tasks are considered in detail. The fifth reason is the difference in the requirements for geometric and graphic training for different educational areas, specialties and profiles. The presence in the geometric-graphical cycle of disciplines of an invariant (common for different specialties and training profiles) core and subject settings is noted. The sixth reason is the high requirements for lecturers of geometric and graphic disciplines. The problem of training lecturing staff of higher education in the field of geometric and graphic education is noted. Conclusions are made about the need to create a methodological training system that takes into account and solves these problems.
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