Extending Yackel and Cobb's sociomathematical norms to ill-structured problems in an inquiry-based classroom

Title
Extending Yackel and Cobb's sociomathematical norms to ill-structured problems in an inquiry-based classroom
Publication Date
2019
Author(s)
Makar, Katie
Fielding-Wells, Jill
( author )
OrcID: https://orcid.org/0000-0002-1469-4504
Email: jfieldi2@une.edu.au
UNE Id une-id:jfieldi2
Editor
Editor(s): Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen and Michiel Veldhuis
Type of document
Conference Publication
Language
en
Entity Type
Publication
Publisher
Freudenthal Group & Freudenthal Institute and ERME
Place of publication
Utrecht, The Netherlands
UNE publication id
une:1959.11/52368
Abstract

The aim of this paper is to extend and adapt Yackel and Cobb's (JRME, 1996) identification of sociomathematical norms in mathematical inquiry to problems that are ill-structured. The background theory influenced the design and local theory development of the research. This paper uses excerpts from an upper primary classroom to address the ill-structured mathematical inquiry question, Which bubble gum is the best? Two norms are illustrated: (1) mathematising the ambiguity in an inquiry question, and (2) using the inquiry question to check progress towards a solution. Children demonstrated productive social norms and emergence of the sociomathematical inquiry norm of mathematising, but using the inquiry question was less prevalent. In both cases, children found it challenging to productively coordinate their everyday (relevant) and mathematical knowledge.

Link
Citation
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11), p. 3162-3169
ISBN
9789073346758
Start page
3162
End page
3169

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