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REFLECTIONS ON ABSTRACTION IN A WORLD WHERE ATTACHMENT TO PLACE MATTERS

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https://hdl.handle.net/10037/36668
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Date
2025-01
Type
Chapter
Bokkapittel

Author
Wagner, David; Andersson, Annica; Dewolfe, Sacha; Gerbrandt, Julianne; Huru, Hilja Lisa; Simensen, Anita Movik; Wirkola, Elisabeth
Abstract
In an earlier reflection, we drew on our experiences, especially in Indigenous contexts, to consider how detachment connects with abstraction (Huru, Andersson & Wagner, 2023). We described abstraction as a process that attaches an idea to an experience—e.g., the realization that a line carved into a bone can represent a real thing, or five such lines, or the symbol 5 referring to the five lines. But abstraction can also lead to detachment—e.g., when the symbol 5 is manipulated as a thing itself. We described abstraction as natural in mathematics and in language—e.g., your name is not you, it indexes you. We see abstraction as an action and thus as a move within a cultural context.
Description
Source at https://icmistudy27.sciencesconf.org/resource/page/id/15.
Publisher
MATHED, ICMI
Citation
Wagner, Andersson, Dewolfe, Gerbrandt, Huru, Simensen, Wirkola: REFLECTIONS ON ABSTRACTION IN A WORLD WHERE ATTACHMENT TO PLACE MATTERS. In: le Roux, Coles A, Solares-Rojas, Bose A, Vistro-Yu, Valero P, Sinclair N, Makramalla, Gutiérrez, Geiger V, Borba. THE 27th ICMI STUDY: MATHEMATICS EDUCATION AND THE SOCIO-ECOLOGICAL, 2025. Philippine Council for Mathematics Teacher Educators (MATHTED) and the International Commission on Mathematical Instruction (ICMI)
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