运用计算技术进行数学建模教学:以疏散为基础的课程介绍

André Greubel, Hans-Stefan Siller, Stefan Ruzika, Lynn Knippertz
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引用次数: 0

摘要

数学建模被认为是现代生活和STEM教育的关键技能。先前的研究已经确定了在教育中研究复杂和真实的建模问题的相关性。然而,到目前为止,在这一领域提出的课程中,很少明确地关注综合计算技术在数学建模中的作用。我们通过为跨学科课程提供设计和现成的技术来弥合这一差距,该课程向学生介绍了具有综合技术的复杂系统的数学建模。本课程将向学生介绍网格自动机作为基本的计算模型。此外,他们可以增加他们的数学建模和算法思维的知识。在本文中,我们为这种课程开发了一种教学结构,并介绍了为支持这种结构而开发的教育技术。该结构本身由三个模拟环境组成,并基于以下问题:“我们如何估计疏散我们学校所需的时间(没有实验)?”我们更详细地描述了课程的结构和模拟环境,并概述了此类课程的潜在练习。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Teaching Mathematical Modeling with Computing Technology: Presentation of a Course based on Evacuations
Mathematical modeling is considered a crucial skills, both in modern life and STEM education. Prior research has identified the relevance of working on complex and authentic modelings problems in education. However, up to this point, little of the courses proposed in this area explicitly focus on the role of comprehensive computing technology during mathematical modeling. We bridge this gap by presenting a design and ready-to-use technology for an interdisciplinary course that introduces students to mathematical modeling of complex systems with comprehensive technology. In the course, students are introduced to grid automatons as basic computing model. Furthermore, they can increase their knowledge of mathematical modeling and algorithmic thinking. In this paper, we develop a didactic structure for such a course and present educational technology developed to support this structure. The structure itself consists of three simulation environments and is based on the following problem: “How can we estimate the time it takes to evacuate our school (without an experiment)?”. We describe the structure of the course and the simulation environments in more details and outline potential exercises for such a course.
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