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A square in drag as concrete universal; or, Hegel as a Sketchpad programmer


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Title A square in drag as concrete universal; or, Hegel as a Sketchpad programmer
Creator Davis, Zain
Subject Education; Mathematics Education Constructivism; Geometry; Sketchpad; Pedagogy; Hegel
Description In this article, by way of an analysis of a case of mathematics teacher training, I explore the general idea of pedagogic expectation of an alignment of pedagogic identities and specific realisations of mathematics in pedagogic contexts. The particular case analysed has a constructivist orientation, but the analytic resources brought to bear in the analysis can be used more generally for the description and analysis of pedagogic situations. The analysis is framed chiefly by the philosophical work of Georg Hegel alongside Basil Bernstein’s sociological discussion of evaluation in pedagogic contexts. The argument proceeds in three inter-related parts, the first of which produces an analytic description of the discursive production of the desired pedagogic subject–in this case, a teacher/student of geometry–in which I show how explication and abbreviation are used discursively in an attempt to construct the desired teacher/student–that is, a particular pedagogic identity. The second part of the argument describes the discursive production of mathematics content in a manner intended to align content with the desired teacher/student and introduces the notion of a regulative orientation in order to grasp the differences in the mathematical work of students. The third part is a synthesis of parts one and two, showing how pedagogic identity and mathematics contents are brought together as correlative effects of each other.
Publisher AOSIS Publishing
Contributor National Research Foundation of South Africa
Date 2016-11-17
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — Discourse Analysis
Format text/html application/octet-stream text/xml application/pdf
Identifier 10.4102/pythagoras.v37i1.322
Source Pythagoras; Vol 37, No 1 (2016); 14 pages 2223-7895 1012-2346
Language eng
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Coverage — — Adult; Inservice teachers
Rights Copyright (c) 2016 Zain Davis