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Motivating engineering students to math classes: Practical experience teaching ordinary differential equations

机译:激励工程学生对数学课程:普通微分方程教学的实践经验

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Teaching mathematics for engineering students is very important. New undergraduate students are aware that they will need mathematical concepts in professional activities. It is still usual to observe not only the difficulty of students in mathematical disciplines, but also the lack of motivation for those disciplines. Motivate and keep motivated the engineering students to mathematical disciplines are a challenge for the teacher. In the literature, it is possible to observe the use of modeling tools of mathematical problems, some of them able to simulate models. Those tools have been used to try to motivate students, but with a technological bias that may introduce difficulties. In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students must apply concepts seen in class, in particular using the Ordinary Differential Equations (ODE). Each student can choose a problem of his/her interest, which increases motivation. The problem chosen must be explored to create mathematical models involving multiple concepts, which allows the comparison of results. Students must create models using existing computational tools, preferably of free use, supported by instructor. So, the students are allowed to apply the concepts acquired to develop projects with transversal themes aiming to verify the capability and the use of these tools in learning mathematical concepts. Also, this paper presents an application of the approach proposed in Numerical Methods for Differential Equations course. We observed that the use of computer tool to model a real problem chosen by students has improved the interest and, consequently, facilitated the teaching-learning process. Also, it may develop in students a new vision on how they can build their knowledge. We also discuss ways in which the computational resources and everyday problems can help in math classes and arouse creativity, motivation and mathematical logical reasoning in engineering students.
机译:工程学生的数学是非常重要的。新本科生意识到他们将需要在专业活动中的数学概念。不仅可以观察学生在数学学科的困难,而且仍然遵守这些学科的动力。激励并保持动力工程学生对数学学科是老师的挑战。在文献中,可以观察使用数学问题的建模工具,其中一些能够模拟模型。这些工具已被用来试图激励学生,但具有可能引入困难的技术偏见。在本文中,我们提出了一种方法来对具有动机因素的工程学生的数学概念的教学过程中的方法:要建模的实际问题,其中学生必须在课堂上看到的概念,特别是使用普通微分方程(ODE)。每个学生都可以选择他/她的兴趣的问题,这增加了动力。必须探索所选问题以创建涉及多个概念的数学模型,这允许比较结果。学生必须使用现有的计算工具,最好是由教师支持的免费使用的模型。因此,学生允许使用跨越主题采用所获取的概念,旨在验证这些工具在学习数学概念方面的能力和使用。此外,本文介绍了用于微分方程课程的数值方法所提出的方法的应用。我们观察到,使用计算机工具来模拟学生选择的真正问题改善了兴趣,因此,促进了教学过程。此外,它可能会在学生开发一个关于他们如何建立他们知识的新愿景。我们还讨论了计算资源和日常问题可以帮助数学课程,并在工程学生中引起创造力,动机和数学逻辑推理的方法。

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