Informing the facilitation of Mathematics in the senior phase using Herrmann’s Whole Brain® theory

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dc.contributor.advisor Du Toit, Pieter Hertzog
dc.contributor.postgraduate Randewijk, Elmarie
dc.date.accessioned 2020-11-04T15:09:50Z
dc.date.available 2020-11-04T15:09:50Z
dc.date.created 20/05/08
dc.date.issued 2019
dc.description Thesis (PhD)--University of Pretoria, 2019.
dc.description.abstract This research innovation reports on the application of Herrmann’s Whole Brain® theory in facilitating and assessing learning in Mathematics in the senior phase, Grades 7 - 9. It is a two-part interrelated initiative that seeks both to augment current Mathematics-specific educational theories to improve practice, as well as to reflect on ways that these theories impact on the teaching practice. The literature review synthesises existing educational theories in terms of Herrmann’s Whole Brain® model into a new proposed comprehensive Mathematics-specific Whole Brain® model. This synthesis of existing “good practices” in Mathematics education in terms of Herrmann’s Whole Brain® model, supports the need for a Whole Brain® approach to teaching Mathematics. Furthermore, it hopes to be a user-friendly model with which teachers can plan and facilitate learning and assessment opportunities in Mathematics. Data was collected on the thinking preferences of each Mathematics teacher participant, as well learners’ perception of their teachers’ thinking preferences. Both qualitative and quantitative data was used to report on the findings. Individual and collective reflective practices, situated in the framework of professional development and action research, were used to analyse and report on the findings. The reflective practice resulting from the initiative is in itself an outcome of the research, since “those teachers who are students of their own effects are the teachers who are the most influential in raising students’ achievement” (Hattie & Yates, 2014, p. 24). The degree to which the reflective process impacted on each participant’s practice appears to be dependent on each teacher’s level of professional development. Teacher participants engaging in post-graduate studies showed the ability to complement their “existing competencies with needed situational competencies” (Herrmann, 1996, p. 39), meaning that these teachers were not limited by their thinking preferences, but were able to employ lesser preferred preferences when needed. Each teacher participant’s unique set of thinking preferences was obtained using the Hermann Brain Dominance Instrument (HBDI®). When each of these unique profiles were combined, they produced a compound Whole Brain® profile. This supported Herrmann’s (1990, p. 10) notion that every sizeable group would consist of a “composite whole brain”, but also showed that there is no specific set of thinking preferences unique to a Mathematics teacher. The learner questionnaires also indicated a reasonably balanced Whole Brain® profile amongst learners, supporting the need for a Whole Brain® approach to facilitating learning and assessing in Mathematics. The reflective cyclic process of theory informing practice and practice in turn informing theory is at the core of this research innovation. This cyclic process has become my living theory from which I hope to inspire others to engage in similar initiatives.
dc.description.availability Unrestricted
dc.description.degree PhD
dc.description.department Humanities Education
dc.identifier.citation Randewijk, E 2019, Informing the facilitation of Mathematics in the senior phase using Herrmann’s Whole Brain® theory, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/76774>
dc.identifier.other A2020
dc.identifier.uri http://hdl.handle.net/2263/76774
dc.language.iso en
dc.publisher University of Pretoria
dc.rights © 2020 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.
dc.subject UCTD
dc.subject Herrmann’s Whole Brain® Theory
dc.subject Thinking preferences
dc.subject action research
dc.subject participatory action research
dc.subject Facilitating Mathematics
dc.subject Learning theories
dc.title Informing the facilitation of Mathematics in the senior phase using Herrmann’s Whole Brain® theory
dc.type Thesis


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