Noss, Richard and Pratt, Dave (2002) The Micro-Evolution of Mathematical Knowledge: The Case of Randomness. Journal of the Learning Sciences, 11 (4). pp. 453-488. ISSN 1532-7809 (electronic) 1050-8406 (paper)
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Abstract
In this paper we explore the growth of mathematical knowledge and in particular, seek to clarify the relationship between abstraction and context. Our method is to gain a deeper appreciation of the process by which mathematical abstraction is achieved and the nature of abstraction itself, by connecting our analysis at the level of observation with a corresponding theoretical analysis at an appropriate grain size. In this paper we build on previous work to take a further step towards constructing a viable model of the micro-evolution of mathematical knowledge in context. The theoretical model elaborated here is grounded in data drawn from a study of 10-11 year olds’ construction of meanings for randomness in the context of a carefully designed computational microworld, whose central feature was the visibility of its mechanisms-how the random behavior of objects actually worked. In this paper, we illustrate the theory by reference to a single case study chosen to illuminate the relationship between the situation (including, crucially, its tools and tasks) and the emergence of new knowledge. Our explanation will employ the notion of situated abstraction as an explanatory device that attempts to synthesize existing micro- and macro-level descriptions of knowledge construction. One implication will be that the apparent dichotomy between mathematical knowledge as de-contextualized or highly situated can be usefully resolved as affording different perspectives on a broadening of contextual neighborhood over which a network of knowledge elements applies.
| Item Type: | Article |
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| Additional Information: | This is an electronic version of an article published in Noss, Richard and Pratt, Dave (2002) The Micro-Evolution of Mathematical Knowledge: The Case of Randomness. Journal of the Learning Sciences, 11 (4). pp. 453-488. Journal of the Learning Sciences is available online at: http://www.informaworld.com/10.1207/S15327809JLS1104_2 |
| Uncontrolled Keywords: | Maths ICT |
| Subjects: | Departments > London Knowledge Lab Departments > Geography, Enterprise, Mathematics and Science |
| Depositing User: | IOE Repository Editor (2) |
| Date Deposited: | 06 Apr 2009 11:53 |
| Last Modified: | 26 Jun 2012 22:22 |
| URI: | http://eprints.ioe.ac.uk/id/eprint/202 |
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