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In this paper, we report an enquiry into elementary preservice teachers’ learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen preservice teachers at two universities focused on their expressed awareness of their approach to the mathematical activity. Preservice teachers’ prospective planning and post-teaching evaluations of similar activities in their classrooms were also examined. We draw on aspects of enactivism and the notion of reflective “spection” in the context of teacher learning, tracing threads between preservice teachers’ retro-spection of learning and pro-spection of teaching. Our analysis indicates that increasing sensitivity to their own embodied processes of generalisation offers opportunities for novice teachers to respond deliberately, rather than to react impulsively, to different pedagogical possibilities. The paper contributes a new dimension to the discussion about the focus of novice elementary school teachers’ retrospective reflection by examining how deliberate retrospective analysis of doing mathematics, and not only of teaching actions, can develop awarenesses that underlie the growth of expertise in mathematics teaching. We argue that engaging preservice teachers in mathematics to support deliberate retrospective analysis of their mathematics learning and prospective consideration of the implications for teaching can enable more critical pedagogical choices.

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This article explores one female student teacher's experiences of learning to teach mathematics. Data included weekly emails and an interview through which she expressed her struggle to be recognised as mathematical and to be heard in pedagogical relationships within a subject that is discursively aligned with masculinity. Analysis drew on feminist post-structural understandings of discourse and power relations. I identify an array of discourses of gender, mathematics, ability, confidence and complex micro-relations of power which shaped her 'identity work' and examine how she was able to reposition herself positively as a teacher of mathematics, resisting dominant transmission-based approaches to teaching mathematics. While the course sought to challenge traditional mathematical pedagogies, gendered ways of being mathematical were not confronted. I argue that teacher educators need to pay attention to the way power circulates to marginalise and silence some students and to focus on transformation of their own identity work.