描述几何问题可视化Wolfram Mathematica

S. Ignat'ev, A. Folomkin, E. Muratbakeev
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引用次数: 4

摘要

Wolfram Mathematica (WM)是一个符号数学软件包,它的可能性是无穷无尽的。本文探讨了WM软件产品情境化在学生几何教学过程中的可能性;是在教学实践中使用一套WM计算算法的经验。本文提供了我们自己的WOLFRAM项目的源代码和输出数据,以交互式图形的形式说明了DG课程的一个基本问题A、B、C、D点的构造,以空间坐标表示;构造一个经过a、B、C点的平面;确定这些点和构造平面在空间中的位置;以及确定点D属于这个平面。以交互式图表的形式展示了几个现有WOLFRAM项目的例子,用于教学。应用问题的研究和将专业问题转化为数学语言的能力,在WM中工作,为学生提供了一个吸收必要能力的机会。利用WM实现的求解几何问题的交互式可视化,与传统的求解问题相结合,丰富了几何教育的内容,为教育过程的组织提供了新的机会,激发、保持和提高了学生对本学科的学习兴趣和在几何领域进一步研究的兴趣。然而,WM的工作能力并不能取代高专学生从传统课程中获得的基础知识,而只能通过对WM的了解来补充DG课程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Descriptive Geometry Problems Visualization by Wolfram Mathematica
The possibilities of Wolfram Mathematica (WM), which is a package of symbolic mathematics, are endless. In this paper are investigated the possibilities of WM software product contextualization in the process of geometric-graphic teaching of students; is considered the experience for using a set of WM computational algorithms in teaching practice. The source codes and output data of our own WOLFRAM projects are offered, which are illustrative, in the form of interactive graphs, visualization of the solution for one of DG course’s basic problems on construction of points A, B, C and D, given by coordinates in space; construction a plane of general position passing through points A, B and C; determining positions of these points and the constructed plane in space; and also on determining the point D belonging to this plane. Have been presented examples of several of the existing WOLFRAM projects in the form of interactive graphs used in teaching. The study of applied issues and the ability to translate a professional problem into mathematical language, working in WM, provides a student with an opportunity to assimilate the necessary competencies. Interactive visualization of solving DG problems, which can be carried out using WM, together with traditional problem solving, enriches the content of geometric education, introduces new opportunities in organization of the educational process, allows stimulate, maintain and increase students' interest in studying the discipline and further research in the area of DG. However, the ability to work in WM cannot replace the fundamental knowledge obtained by students of a technical high educational institute from the traditional course, but only complements the DG course by WM acquaintance.
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