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arXiv:2510.00223v1 (math)
[Submitted on 30 Sep 2025 ]

Title: A case for teaching about parameters in calculus courses

Title: 微积分课程中关于参数的教学案例

Authors:Juliana Belding, Keaton Quinn
Abstract: Working with letters that represent unknown constants, i.e., parameters, has been historically challenging for students. This is an important skill for their success in many future quantitative settings, and yet it appears this topic is rarely included explicitly in math curricula. We argue that we should be explicitly teaching our students how to work with parameters, and that single variable calculus courses are a natural place to do so. We offer justification for this as well as examples and sample outlines for incorporating parameters into these classes.
Abstract: 使用代表未知常数的字母,即参数,在历史上对学生来说一直是一个挑战。 这是一个他们在许多未来的定量环境中取得成功的重要技能,然而这一主题似乎很少被明确包含在数学课程中。 我们认为,我们应该明确地教学生如何处理参数,并且单变量微积分课程是进行这种教学的自然场所。 我们提供了这方面的理由,以及将参数融入这些课程中的例子和示例大纲。
Subjects: History and Overview (math.HO)
Cite as: arXiv:2510.00223 [math.HO]
  (or arXiv:2510.00223v1 [math.HO] for this version)
  https://doi.org/10.48550/arXiv.2510.00223
arXiv-issued DOI via DataCite

Submission history

From: Keaton Quinn [view email]
[v1] Tue, 30 Sep 2025 19:50:05 UTC (13 KB)
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