Abstract
What would it mean for mathematics education hi the twenty-ftrst century were
teachers and researchers to take even more seriously, to interrogate more carefully,
the productive power of the learning process? While the importance of the cognitive
aspects of process in the construction of robust mathematical understandings and
relationships is well appreciated and articulated in teaching and research, its
constitutive force has largely been ignored. In this paper I use the poststructuralist
notion of the productive, constitutive force of the process of coming to know in
mathematics to (a) extend current understandings of how the teaching/learning
processes of the classroom influence participation, knowledge growth and
mathematical identity, and (b) contemplate the practical implications of this
potentially generative force with regard to instructional practice and further research.
The paper is framed by the poststructuralist notion that the ability and inclination to
engage in mathematical reasoning and inquiry is not a personal attribute or skill but
discursively produced.