一种有效的本科生部分分式分解方法

Li Ling Jong, Siaw Vui Kuan
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引用次数: 1

摘要

为了提出一种更有效的替代方法来计算有理函数的部分分式分解(PFD),最终有助于解决本科生在使用标准方法计算过程中常见的突出错误,对47名学生的测验和问卷数据进行了定量分析。本研究的结果表明,当学生采用提出的替代方法,即改进的掩盖方法时,他们的成绩有进步。学生们也欣赏所提供的替代方法的效率和准确性。因此,我们相信,这种方法对本科生来说是相当新的,特别是在砂拉越的公立大学,可以作为一种替代更传统的或标准的待定系数方法,用于教授初等积分,以提高学生的表现。此外,这一初步证据也为未来部分分式分解方法的研究提供了方向。
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An Effective Partial Fraction Decomposition Method for Undergraduate Students
In order to propose a more effective alternative method employed by undergraduate students to compute the partial fraction decomposition (PFD) of rational functions which could eventually help to solve the prominent common errors made by undergraduate students during the computation using standard method, data from quizzes and questionnaires administered to 47 students were quantitatively analysed. The findings of this study reveal that there is progress shown in students’ performance when they apply the proposed alternative method, namely, the improved cover-up method. Students also appreciate the efficiency and accuracy of the alternative method offered. Hence, it is believed that this approach, which is considerably new to undergraduate students particularly in a public university in Sarawak, can serve as an alternative to the more conventional or standard method of undetermined coefficients used in teaching elementary integral calculus for better students’ performance. Additionally , this preliminary evidence provides directions for future research related to partial fraction decomposition methods.
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