Beyond the binary: dexterous teaching and knowing in mathematics education

Adam, Raoul, and Chigeza, Philemon (2014) Beyond the binary: dexterous teaching and knowing in mathematics education. Mathematics Teacher Education and Development, 16 (2). pp. 108-125.

[img] PDF (Published Version) - Published Version
Restricted to Repository staff only

View at Publisher Website:


This paper identifies binary oppositions in the discourse of mathematics education and introduces a binary-epistemic model for (re)conceptualising these oppositions and the epistemic-pedagogic problems they represent. The model is attentive to the contextual relationships between pedagogically relevant binaries (e.g., traditional/progressive, student-centred/teacher-centred, discovery/transmission, constructivist/behaviourist) and epistemically relevant binaries (e.g., concrete/abstract, pure/applied, interpretivist/positivist, subjective/objective) that operate in mathematics classrooms. The premise of this paper is that ways of knowing mathematics (i.e., epistemologies) are actualised in ways of teaching mathematics (i.e., pedagogies), and vice-versa. The binary-epistemic model describes oppositional, equipositional and parapositional ways of knowing and teaching in relation to these binaries. We argue for a more a relational-contextual or parapositional approach to binary polarities that have otherwise proven divisive in mathematical discourse. In the context of the new Australian Curriculum, we illustrate epistemically differentiated ways of teaching measurement in a Year 5 mathematics classroom.

Item ID: 37134
Item Type: Article (Research - C1)
ISSN: 1442-3901
Keywords: epistemological development, pedagogy, mathematics, teacher education, curriculum
Date Deposited: 12 Mar 2015 02:19
FoR Codes: 13 EDUCATION > 1303 Specialist Studies in Education > 130313 Teacher Education and Professional Development of Educators @ 100%
SEO Codes: 93 EDUCATION AND TRAINING > 9302 Teaching and Instruction > 930202 Teacher and Instructor Development @ 100%
Downloads: Total: 9
More Statistics

Actions (Repository Staff Only)

Item Control Page Item Control Page