数学知识的多种形式:范围文献研究

Hongzhang Xu, Rowena Ball
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引用次数: 0

摘要

我们对已发表的有关民族数学和土著数学的文献进行了一次范围性综述,以此作为实现非殖民化目标的一个步骤。我们从 169 项研究中确定了全球范围内的数学实践。我们描绘了从 1984 年到 2023 年民族数学研究的三个发展阶段,并确定了 20 类证明数学设计和表达的土著和传统文化活动。我们解决了研究非西方数学的两个难题:从哪里寻找数学知识,以及如何从文化实践中解码数学知识。通过对纳入研究的关键词进行聚类分析,我们克服了这两个障碍。现有研究分为两类:I. 确定土著社会中使用的数学概念;II. 将确定的数学概念系统化。这两种方法对于土著数学研究的蓬勃发展至关重要,可以增强土著知识持有者的能力,解构数学知识和教育的限制性殖民主义界限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multiple Forms of Knowing in Mathematics: A Scoping Literature Study
We present a scoping review of published literature on ethnomathematics and Indigenous mathematics as a step towards a goal to decolonize the prevailing Eurocentric view of the provenance of mathematics. Mathematical practices were identified globally from 169 included studies. We map three development stages of ethnomathematical research from 1984 to 2023 and identify 20 categories of Indigenous and traditional cultural activities that evidence mathematical design and expression. We address two challenges of investigating non-Western based mathematics: where to look for mathematical knowledge, and how to decode it from cultural practices. These two hurdles are overcome by cluster analysis of the keywords of included studies. Existing research falls into two categories: I. identification of mathematical concepts used in Indigenous societies, and II. systematizing identified mathematical concepts. Both approaches are essential for research on Indigenous mathematics to flourish, in order to empower Indigenous knowledge holders and deconstruct restrictive colonial boundaries of mathematical knowledge and education.
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