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Concretion, abstraction, and mathematical experiences

Title: Concretion, abstraction, and mathematical experiences
Authors: Nemirovsky, Ricardo; Mégrourèche, Charlotte; Bunn, Stephanie; Kathotia, Vinay
Contributors: Bosch, M.; Bolondi, G.; Carreira, S.; Spagnolo, C.; Gaidoschik, M.
Publisher Information: Free University Bozen-Bolzano and ERME
Publication Year: 2025
Collection: The Open University: Open Research Online (ORO)
Description: As with most words, ‘concrete’ and ‘abstract’ are polysemic and used in myriad ways and situational variations. The intent of this paper is not to define them as if it were possible to place them in suitable self-enclosed boxes but to elaborate and suggest a particular philosophical perspective, whereby we think of coexisting processes of concretion and abstraction, rather than consider concrete and abstract as opposing concepts. This might offer a productive usage of these words with the potential to enrich the practices of mathematics and mathematics education, as well as draw attention to commonalities in how these processes are used in a variety of settings, and are part of the everyday activity of all, including mathematical activities at all ages and social contexts.
Document Type: conference object
File Description: application/pdf
Language: English
Relation: https://oro.open.ac.uk/105117/1/Concretion_abstraction_and_mathematical_experiences.pdf; Nemirovsky, Ricardo; Mégrourèche, Charlotte; Bunn, Stephanie and Kathotia, Vinay (2025). Concretion, abstraction, and mathematical experiences. In: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) (Bosch, M.; Bolondi, G.; Carreira, S.; Spagnolo, C. and Gaidoschik, M. eds.), Free University Bozen-Bolzano and ERME, Bozen-Bolzano.
Availability: https://oro.open.ac.uk/105117/; https://oro.open.ac.uk/105117/1/Concretion_abstraction_and_mathematical_experiences.pdf
Accession Number: edsbas.BA9E687F
Database: BASE