干预与多样性、公平和包容:当前微积分教学研究的两个方向

ZDM Pub Date : 2024-03-25 DOI:10.1007/s11858-024-01553-3
Tenchita Alzaga Elizondo, Sean Larsen
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摘要

鉴于微积分经常成为 STEM 学生的 "守门员",微积分仍然是数学教育研究人员讨论的一个重要话题。在 2017 年对微积分文献的广泛回顾中,Larsen 及其同事指出了在很大程度上被忽视的两个主要应用研究领域:与(1)改善微积分教学和学习的努力相关的研究和(2)与公平和社会正义相关的研究。在这篇综述中,我们通过回顾与这两个主题相关的最新文献,探究学者们是如何响应这一号召的。首先,我们发现了一些有前景的干预研究,这些研究调查了课程层面(如针对工科学生的微积分课程)和特定微积分主题层面(如使用数字工具帮助学生理解基本定理)的变化。其次,我们发现了一些关于多样性、公平性和包容性的研究。我们发现,本研究集中的一些研究仍在通过传统的方法(如所谓的成绩差距)进行研究,但我们也发现了一些很有前景的新研究方向,在这些研究中,学者们利用批判性理论,提供反叙述,突出微积分历史上被边缘化群体学生的优势。最后,我们讨论了我们希望在该领域看到的未来方向,我们认为这些方向将加强当前的工作。
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Interventions and diversity, equity, and inclusion: Two current directions in research on the teaching and learning of calculus

Calculus continues to be an important topic of discussion among mathematics education researchers given how it often acts as a gatekeeper for students in STEM. In their extensive 2017 review of calculus literature, Larsen and colleagues identified two main areas of applied research that had largely been neglected: research related (1) to efforts to improve calculus teaching and learning and (2) to equity and social justice. In this review we investigate how scholars have answered this call by reviewing recent literature related to these two themes. First we identified some promising intervention studies that investigated changes at the course level (e.g., calculus courses intended for engineering students) and at the level of specific calculus topics (e.g. using digital tools to help students understand the Fundamental Theorem). Second, we identified several studies on diversity, equity, and inclusion. We found that some studies in this collection still approached this research through traditional methods (e.g., so called achievement gaps) but we also identified promising new directions for research in which scholars utilize critical theories and provide counter-narratives that highlight the strengths of calculus students from historically marginalized groups. We conclude our review by discussing future directions we hope to see in the field that we argue will strengthen current work.

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ZDM
ZDM
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