支持工程教育离散数学建构性任务的计算机工具

S. Pozdnyakov, A. Chukhnov, Sergey Rybin
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引用次数: 0

摘要

本文介绍了一所工科大学离散数学课程改革的最终结果,以及作为其延续的数理逻辑与算法理论课程改革的结果。现代化既影响了课程组成的方法,也影响了学生学术工作的组织形式。其中,计算机支持训练与组织学生“无计算机”作业的教学方法之间的联系得到了重视。方法和技术方面的部分内容,如学生计算机代数系统小组的发展、建设性解决方案的验证,包括使用自我验证的任务,在早期的著作中有作者参与。基于后问的结果表明,工科大学生倾向于建设性活动,并积极评价建设性任务对数学概念掌握的影响。开发的材料也在离散数学和理论信息学奥林匹克竞赛的框架中进行了测试。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computer Tools for Supporting of Constructive Tasks in Discrete Mathematics for Engineering Education
The paper presents the final results of the restructuring of the course of discrete mathematics and, as its continuation, the course of mathematical logic and the theory of algorithms in a technical university based on a constructive approach. Modernization has affected both methodical aspects of courses composition, as well as forms of organization of students' academic work. Among others, the connection of computer support of training with pedagogical methods of organization of “computer-free” work of students is regarded. Part of the methodological and technical aspects, such as the development by students' teams of computer algebra systems, the verification of constructive solutions, including the use of self-verified tasks, were presented in earlier works with the participation of authors. Based on post-questioning it is shown that students of technical universities are inclined to constructive activity and positively assess the influence of constructive tasks on mastering mathematical concepts. The developed materials have also been tested in the framework of Olympiad in Discrete Mathematics and Theoretical Informatics for entrants.
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