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Mathematical practice is undeniably perceptual.
A significant aspect of mathematical practice is then left unaccounted for.
However, the point still stands that, in order to block such commitment, a parallel discourse to actual mathematical practice is offered.
But in spite of many successful attempts to prove even open mathematical problems automatically, their use in everyday mathematical practice is still limited.
Similar(56)
Hence, contrary to what is sometimes assumed in discussions of these issues, it is not true that all informal aspects of mathematical practice are thereby non-deductive.
Even those sympathetic with this focus on foundational issues are likely to acknowledge that many areas of mathematical practice are thereby ignored.
In this 'separate and integrative' frame, where mathematical practices are selectively, rather than fundamentally, drawn upon, it would appear that a possible outcome of sporadic absence of explicit attention to mathematical practices is the disruption of mathematical modes of enquiry.
Framing his recruitment of mathematical practices is a recurring incidence of working and interaction driven by the need to 'pin down' the procedure that will produce the answer, rather than attend to structure and sense-making.
In the CCSM view, mathematical practices are viewed as an outcome of well-connected understanding of content (p. 8).
Our attention to mathematical practices was embedded within an overt framework based on developing teachers' awareness and explanations in relation to mathematical content areas, reflecting more the 'separate but integrated' position.
I noted in the introductory sections that gains at the level of content knowledge and mathematical practices were seen in our assessments across three cycles of the course (2012-14).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com