Investigating students’ perception of the importance of calculus: a cross-discipline comparison to inform module development

Joseph D. Bailey, J. Claridge, Alexander Partner
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Abstract

This study compares perceptions of calculus across disciplines in university education.  As highlighted by Rasmussen et al. (2014) further work is needed to understand the “relationship between calculus and the client disciplines of engineering, physics, biology, and chemistry”, with calculus courses often designed from the perspective of Mathematicians.  Here, we aim to give insight of when it is appropriate to group such disciplines together for taught calculus modules in Higher Education (HE).This short study assesses how students perceive the importance of calculus across disciplines including Mathematics, Electronic Engineering, Economics and Business.Specifically, we consider the following:  1)         Are there differences in how students from different disciplines perceive the importance of studying calculus? 2)         Do students view the field of calculus as: something to be learned to pass their course; something to be fully understood; or a tool for future study/career? Whilst this small study cannot answer these important, open questions, overall it does reveal that students in Mathematics and Economics have similar perceptions about calculus, whereas, Business students viewed calculus significantly differently to the other disciplines.  Therefore, these results give some initial indications of appropriate groupings for cross teaching calculus, and importantly give an area of focus for which further research should develop, regarding how these grouping would affect attainment, pass rates and other phenomena noted in HE calculus modules
调查学生对微积分重要性的认识:跨学科比较为模块开发提供信息
本研究比较了大学教育中不同学科对微积分的看法。 正如 Rasmussen 等人(2014 年)所强调的,微积分课程通常是从数学家的角度来设计的,因此还需要进一步的工作来了解 "微积分与工程学、物理学、生物学和化学等客户学科之间的关系"。 在此,我们旨在深入探讨在高等教育(HE)中,何时适合将这些学科合并为微积分教学模块。这项简短的研究评估了学生如何看待微积分在数学、电子工程、经济学和商学等不同学科中的重要性: 1) 不同学科的学生对微积分学习重要性的认识是否存在差异?2)学生是否将微积分领域视为:为了通过课程而学习的东西;需要充分理解的东西;还是未来学习/职业生涯的工具?尽管这项小型研究无法回答这些重要的开放性问题,但总体而言,它确实揭示了数学和经济学专业的学生对微积分有着相似的看法,而商科学生对微积分的看法则与其他学科的学生大相径庭。 因此,这些结果为微积分交叉教学的适当分组提供了一些初步指示,重要的是为进一步研究提供了一个重点领域,即这些分组将如何影响高校微积分模块的成绩、及格率和其他现象。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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