Record Details

Pictorial pattern generalisation: Tension between local and global visualisation


Field Value
Title Pictorial pattern generalisation: Tension between local and global visualisation
Creator Samson, Duncan
Subject Mathematics Education; Mathematics; Education Enactivism; visualisation; knowledge objectification; figural apprehension
Description This article engages with the notion of local and global visualisation within the context of figural pattern generalisation. The study centred on an analysis of pupils’ lived experience whilst engaged in the generalisation of linear sequences presented in a pictorial context. The study was anchored within the interpretive paradigm of qualitative research and made use of the complementary theoretical perspectives of enactivism and knowledge objectification. A crucial aspect of the analytical framework used was the sensitivity it showed to the visual, phenomenological and semiotic aspects of figural pattern generalisation. A microanalysis of a vignette is presented to illustrate the subtle underlying tensions that can exist as pupils engage with pictorial pattern generalisation tasks. It is the central thesis of this article that the process of objectifying and articulating an appropriate algebraic expression for the general term of a pictorial sequence is complicated when tension exists between local and global visualisation.
Publisher AOSIS Publishing
Contributor FRF Mathematics Education Chair, Rhodes University
Date 2012-10-26
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — case study
Format text/html application/octet-stream text/xml application/pdf
Identifier 10.4102/pythagoras.v33i3.172
Source Pythagoras; Vol 33, No 3 (2012); 9 pages 2223-7895 1012-2346
Language eng
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Coverage — — Grade 9 learners; mixed; mixed
Rights Copyright (c) 2012 Duncan Samson