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A mad dictator partitions his country

Asghari, AH (2010) A mad dictator partitions his country. Research in Mathematics Education, 7 (1). pp. 33-45. ISSN 1754-0178

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Abstract

This paper has two integrated parts. In the first part, a task is introduced around the concept of equivalence relation. The initial aim of the task is to lead undergraduate students to define an equivalence relation as traditionally defined. The task is triedout on a small sample of students. Based on students' experience of the situation I reveal a change in my perspective in which I learned to consider defining in the realm of organising. The results of this change are reported in the second part of this paper in which I report a certain way of organising the given situation, a 'new' definition of equivalence relations, and consequently a new representation for them,
that seems to be overlooked in the literature.

Item Type: Article
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis Group in Research in Mathematics Education on 07/10/10, available online: http://dx.doi.org/10.1080/14794800008520144
Uncontrolled Keywords: 01 Mathematical Sciences, 13 Education
Subjects: L Education > LB Theory and practice of education > LB2300 Higher Education
Q Science > QA Mathematics
Divisions: School of Education
Publisher: Taylor & Francis (Routledge)
Date Deposited: 07 May 2015 13:29
Last Modified: 13 Sep 2017 06:11
DOI or Identification number: 10.1080/14794800008520144
URI: http://researchonline.ljmu.ac.uk/id/eprint/1012

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