RESEARCH PAPER
Transforming sociomathematical norms in a South African grade 11 classroom to enhance learners’ mathematical proficiency
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Department of Mathematics, Science and Technology Education, School of Education, University of Limpopo, Limpopo, SOUTH AFRICA
Online publication date: 2024-02-26
Publication date: 2024-03-01
EURASIA J. Math., Sci Tech. Ed 2024;20(3):em2409
KEYWORDS
ABSTRACT
In this paper we use parts of qualitative data from the first author’s doctoral study to explore how
transforming existing sociomathematical norms enhance learners’ mathematical proficiency. The
study was conducted in a grade 11 mathematics classroom comprising of 23 learners, facilitated
by the first author as learners engaged in a mathematical discourse on analytical geometry. Data
were gathered through video recording, documents and researcher journal. We adopted Yackel
and Cobb’s (1996) interpretive framework and Kilpatrick et al.’s (2001) notion of mathematical
proficiency as lenses, which guided the data analysis. We analyzed the data following
Polkinghorne’s (1995) narrative analysis method. We found that transforming existing
sociomathematical norms to enhance learners’ mathematical proficiency involved a three-stages
process: negotiating entry into learners’ existing sociomathematical norms, disrupting learners’
existing sociomathematical norms and constituting ‘new’ sociomathematical norms. As learners
developed new taken-as-shared meanings regarding acceptable mathematics explanations,
justifications and mathematically different solutions they enhanced their conceptual
understanding, procedural fluency, adaptive reasoning, and strategic competence.
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