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

Conference paper


Makar, Katie and Wells, Jill. (2019). Extending Yackel and Cobb’s sociomathematical norms to ill-structured problems in an inquiry-based classroom. Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Utrecht University, Utrecht, Netherlands Feb 2019 Freudenthal Institute, ERME. pp. 3162-3169
AuthorsMakar, Katie and Wells, Jill
TypeConference paper
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.

Keywordssociomathematical norms; mathematical inquiry; mathematising; knowledge building
Year2019
PublisherFreudenthal Institute, ERME
Web address (URL)https://hal.archives-ouvertes.fr/hal-02418209
Open accessOpen access
Publisher's version
License
All rights reserved
File Access Level
Open
Page range3162-3169
Web address (URL) of conference proceedingshttps://cerme11.org/
FunderAustralian Research Council (ARC)
Output statusPublished
Publication dates
Online19 Mar 2020
Publication process dates
Deposited30 Nov 2021
ARC Funded ResearchThis output has been funded, wholly or partially, under the Australian Research Council Act 2001
Grant IDARC/LP0990184
ARC/DP170101993
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