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Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention

Thesis (PhD)--University of Pretoria, 2016.

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Other Authors: Long, Caroline
Format: Thesis
Language:English
Published: University of Pretoria 2016
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access_status_str Open Access
author2 Long, Caroline
author_browse Long, Caroline
author_facet Long, Caroline
collection Thesis
dc_rights_str_mv © 2016 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Thesis (PhD)--University of Pretoria, 2016.
format Thesis
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institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:40:26.265Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2016
publishDateRange 2016
publishDateSort 2016
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/51258 Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention Long, Caroline Howie, Sarah J. Du Plooy, Maryna C. UCTD Mathematics education Conceptual understanding Design research Metacognitive problem solving Education theses SDG-04 Education theses SDG-09 Thesis (PhD)--University of Pretoria, 2016. At the primary school level, the understanding of multiplication and division is critical, and division is a particularly challenging concept for most learners. I argue that the concept of division can be grasped more readily if learners learn to regulate their own mental processes intentionally; and that metacognitive strategies can be cultivated. Learners’ cognitive development and their propensity for visual imagery at age 11 to 12 years provide an opportunity to mediate such a strategy while learning mathematics concepts. Visualisation gives learners access to what I call “the virtual space of the mind”, where they can reconstruct an external life situation as an internal reality, upon which they can act mathematically. Based on a review of the relevant literature, the use of visualisation in problem solving (division in particular) at this developmental age was found to be under-explored, which gave rise to the need to develop a useful and feasible instructional design. Design Research was applied, as its iterative, cyclic nature allows the researcher to work through phases while developing various prototypes of the design. The fourth prototype of this design was tested with sixteen Grade 6 participants in the classroom setting of an English-medium primary school in Gauteng Province, South Africa, where the strategy was mediated for division in money-, area- and rate contexts. The research enabled the identification of specific design principles to underpin a final design for the mediation of visualisation as a metacognitive strategy in learning multiplicative concepts. bs2026 Science, Mathematics and Technology Education Unrestricted SDG-04: Quality education SDG-09: Industry, innovation and infrastructure 2016-01-26T06:27:12Z 2016-01-26T06:27:12Z 2016-04 2016 Thesis Du Plooy, MC 2015, Visualisation as a metacognitive strategy in learning multiplicative concepts: a design research intervention, PhD thesis, University of Pretoria, Pretoria, yymmdd <http://hdl.handle.net/2263/51258> A2016 http://hdl.handle.net/2263/51258 en © 2016 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle UCTD
Mathematics education
Conceptual understanding
Design research
Metacognitive problem solving
Education theses SDG-04
Education theses SDG-09
Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title_full Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title_fullStr Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title_full_unstemmed Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title_short Visualisation as a metacognitive strategy in learning multiplicative concepts : a design research intervention
title_sort visualisation as a metacognitive strategy in learning multiplicative concepts a design research intervention
topic UCTD
Mathematics education
Conceptual understanding
Design research
Metacognitive problem solving
Education theses SDG-04
Education theses SDG-09
url http://hdl.handle.net/2263/51258