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Enhancing Students’ Understanding in Integral Calculus through the Integration of Maple in Learning

机译:通过学习中的枫树整合来增强学生对积分微积分的理解

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Students entering engineering and engineering technology courses at the university are expected to be competent in mathematics. This is due to the fact that mathematics, including calculus is a primary gateway to an engineering and engineering technology careers. However, the issue of under preparedness of students with diversity in mathematics background enrolling these two courses is at an alarming rate. One factor which can be improved to minimize this gap is to enhance the teaching technique of the subject. With the evolution of various forms of technology, a new approach of teaching integral calculus was developed in this study. Accordingly, this paper discusses the process of integrating Maple software in the teaching of the first year integral calculus topic. In addition, this paper also discusses how this approach can help to deepen the engineering technology students’ understanding in integral calculus topic at the university. Two groups of Technical Mathematics 2 with various mathematics backgrounds were randomly chosen to undergo the treatment. As an initial measurement, a pre-test on integral calculus was administered to these students to check their integral calculus background. The highest mark for the test was far below the passing mark, indicates that students involved in this study have a minimum understanding in secondary school integral calculus. These students were exposed to the treatment for five weeks. At the end of the treatment a post-test was administered to see the effect of the treatment on students’ understanding in integral calculus. Students in the experimental group were found to outperform their peers in the control group in both constructs investigated in this study. The effectiveness of the use of the technology in learning this topic may be enhanced further if its prerequisite topics were also exposed to the same strategy.
机译:希望在大学修读工程和工程技术课程的学生具备数学能力。这是由于以下事实:包括微积分在内的数学是通向工程和工程技术职业的主要途径。但是,数学背景各异的学生对这两门课程的学习缺乏准备的问题令人震惊。可以改善以最小化该差距的一个因素是增强该主题的教学技术。随着各种形式技术的发展,本研究开发了一种教学积分微积分的新方法。因此,本文讨论了在第一年积分学课程的教学中集成Maple软件的过程。此外,本文还讨论了这种方法如何帮助加深工程技术学生对大学积分学领域的理解。随机选择两组具有不同数学背景的技术数学2进行治疗。作为初始测量,对这些学生进行了积分微积分的预测试,以检查他们的积分微积分背景。考试的最高分数远远低于及格分数,这表明参与这项研究的学生对中学积分的理解程度最低。这些学生接受了五周的治疗。在治疗结束后,进行了后测,以观察治疗对学生积分学的理解的效果。实验组的学生在本研究中研究的两种结构中均优于对照组。如果其先决条件主题也暴露于同一策略,则可以进一步提高使用该技术学习该主题的效率。

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