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The proposed definition of academic literacy in mathematics includes three integrated components: mathematical proficiency, mathematical practices, and mathematical discourse.
This goal of Simon is in agreement with the contention of Artigue et al. (2007) that learning at this level is often seen as enculturation into advanced mathematical practices and of Ben-Zvi and Arcavi (2001) that making meaning in mathematics is about doing mathematics, which also involves socialization into its culture and values.
How can teaching and learning WNA support the development of mathematical practices and habits of mind?
● What is the role of mathematical practices and habits of mind in teaching and learning WNA?
Listing practices separately from content, as in the CCSM formulation, provides one way of highlighting mathematical practices and drawing attention to their nature and range.
Christopher's story is shared through the following structure: the paper begins with a literature review outlining the nature of mathematical practices and reasons for their advocacy.
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Paul Rusnock (Rusnock 2004) has argued provocatively against this common view, claiming that because of his lack of technical sophistication, Kant did not have the resources to develop a philosophically interesting account of mathematical practice, and so that his philosophy of mathematics is inadequate even in light of its historical context.
Motivated by these considerations, Maddy set out to inquire into the standards of existence implicit in mathematical practice, and into the implicit ontological commitments of mathematics that follow from these standards (Maddy 1990).
Visual thinking is widespread in mathematical practice, and has diverse cognitive and epistemic purposes.
This too will not interfere with mathematical practice and so will not violate non-revisionism.
Both this perspective on mathematical practice and its resistance have a long heritage.
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