拓宽数学创造力的视野:包含本科生视角

Emily Cilli-Turner , V. Rani Satyam , Miloš Savić , Gail Tang , Houssein El Turkey , Gulden Karakok
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引用次数: 0

摘要

文学中存在着大量的创造性概念;然而,这些通常是基于专业数学家的观点。将学生的观点纳入创造力中至关重要,这不仅有助于更有力地了解创造力的含义,也有助于对抗关于谁可以有创造力的破坏性主导叙事。我们研究了微积分学生对数学创造力的看法,这是创造力文献中不常考虑的群体,以拓宽未来对创造力的考虑。对来自不同院校的N=55名微积分学生进行了访谈。结果显示,这些学生的创造力观呈现出六个广泛的主题:行动和态度、应用、不同的方式、独创性、外部权威和理解。在这六个主题中,理解是引人注目的,因为学生之间有明显的区别,他们认为首先需要理解才能有创造力,而学生认为创造力可以带来更好的理解。我们的主题深入了解了哪些内容可能会引起一些学生的共鸣,这些内容可能会成为研究人员未来数学创造力的定性和定量研究的编码参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Broadening views of mathematical creativity: Inclusion of the undergraduate student perspective

Numerous conceptions of creativity exist in the literature; yet these are commonly based on the perspectives of professional mathematicians. Including students’ perspectives in creativity is crucial not only for a more robust picture of what it means to be creative but also to combat damaging dominant narratives about who can be creative. We examined calculus students’ views of mathematical creativity, a group not often considered in the creativity literature, to broaden future considerations of creativity. Interviews with N=55 calculus students across various institutions were conducted. Results show six emergent wide-ranging themes of these students' creativity views: actions and attitudes, application, different ways, originality, outside authority, and understanding. Of these six themes, understanding was striking due to a clear distinction between students who felt understanding was required first to be creative and students who felt creativity could lead to better understanding. Our themes provide insight into what may resonate for some students, which may serve as coding parameters in qualitative and quantitative studies for researchers conducting future work about mathematical creativity.

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