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Measurement as relational, intensive and analogical: Towards a minor mathematics
The Journal of Mathematical Behavior ( IF 1.0 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.jmathb.2020.100796
Elizabeth de Freitas , Nathalie Sinclair

Abstract Minor mathematics refers to the mathematical practices that are often erased by state-sanctioned curricular images of mathematics. We use the idea of a minor mathematics to explore alternative measurement practices. We argue that minor measurement practices have been buried by a ‘major’ settler mathematics, a process of erasure that distributes ‘sensibility’ and formulates conditions of mathematics dis/ability. We emphasize how measuring involves the making and mixing of analogies, and that this involves attending to intensive relationships rather than extensive properties. Our philosophical and historical approach moves from the archeological origins of human measurement activity, to pivotal developments in modern mathematics, to configurations of curriculum. We argue that the project of proliferating multiple mathematics is required in order to disturb narrow (and perhaps white, western, male) images of mathematics—and to open up opportunities for a more pluralist and inclusive school mathematics.

中文翻译:

作为关系、密集和类比的测量:迈向次要数学

摘要 辅修数学是指经常被国家认可的数学课程形象抹去的数学实践。我们使用次要数学的想法来探索替代测量实践。我们认为,次要的测量实践已经被“主要的”定居数学所掩盖,这是一种分配“敏感性”并制定数学障碍/能力条件的擦除过程。我们强调测量如何涉及类比的制作和混合,并且这涉及关注密集的关系而不是广泛的属性。我们的哲学和历史方法从人类测量活动的考古起源,到现代数学的关键发展,再到课程配置。
更新日期:2020-09-01
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