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"I thought I was reasonably good at teaching maths" : the link between principles of practice, teacher actions and supportive classroom reflection


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Muir, T (2009) "I thought I was reasonably good at teaching maths" : the link between principles of practice, teacher actions and supportive classroom reflection. PhD thesis, University of Tasmania.

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This study aimed to investigate the phenomenon of effective teaching of
numeracy and to implement a professional learning process designed to enhance
numeracy teaching based on reflection upon classroom practice. The study was
undertaken in order to address concerns about numeracy standards, and the
perception that mathematical reform practices were not being widely
implemented into classrooms. The study builds on existing research into effective
numeracy practices and contributes further to developing an understanding of
both effective numeracy teaching and effective professional learning.
Furthermore, a model that was developed throughout the study presents a new
way of examining teachers' practices, and the vivid descriptions of these practices
provides an alternative to purely quantitative classroom observations which has
been characteristic of similar research in the past.
The conceptual framework of the study was based on a model developed by the
researcher, informed by both the findings in the literature and observations of the
case study teachers' numeracy lessons. The model was used in the study as a
means of understanding each teacher's numeracy practice, and incorporated the
characteristics of effective teaching of numeracy as identified in the literature,
and the relationship between teachers' knowledge, beliefs and classroom practice.
In addition, an action research model was devised to guide the Supportive
Classroom Reflection (SCR) process that was undertaken with each teacher
following the observation of their lessons.
The study took the form of a modified case study involving three upper primary
teachers working in three different, but geographically similar, schools. A
collaborative action research approach was used in the professional learning
aspect of the study, with each teacher actively contributing to the research
process. In total, 17 numeracy lessons were observed and videotaped by the
researcher. Following each lesson, the video footage was viewed together by the researcher and the teacher. Critical incidents were highlighted and the sessions
were used to elicit further information about the teaching practices observed and
as a basis to encourage teachers to deliberately reflect on their practices.
The findings indicated that it was possible to identify a number of characteristics
that were associated with effective teaching of numeracy, but not surprisingly,
there is no 'one size fits all' approach to effective numeracy practice that can
readily be applied by every teacher in every classroom. Although many of these
characteristics were present to varying extents in the practices of the teachers,
closer examination into the nature of these characteristics revealed that unless
teachers understand the pedagogical purpose behind such practices, the practices
can be used without being necessarily effective in furthering developing students'
numeracy. The combination of teacher knowledge and beliefs also was found to
be a significant factor in contributing to the effectiveness of these practices. The
SCR process provided an avenue for further discussion around these issues, and
the case study teachers all endorsed it as a valuable professional learning
The findings from the study are significant in that they indicate that teachers need
a clearer articulation of what effective numeracy practices, such as those
advocated by mathematical reform, actually 'look like' in the classroom and to
understand the pedagogical purposes behind such practices. Teachers need to
have access to professional learning that caters to their individual needs, and
provides them with opportunities not only to increase their repertoire of
strategies, but also to recognize the impact that knowledge and beliefs have on
their practice. In addition to being of benefit to classroom practitioners, the
study's findings should also inform teacher educators and policy makers about
effective numeracy teaching and how this can be addressed through relevant and
individualised professional learning experiences.

Item Type: Thesis (PhD)
Keywords: Numeracy, Mathematics, Teacher effectiveness
Copyright Information:

Copyright 2009 the author

Additional Information:

Available for use in the Library and copying in accordance with the Copyright Act 1968, as amended. Thesis (PhD)--University of Tasmania, 2009. Includes bibliographical references. Ch. 1. Introduction -- Ch. 2. Literature review -- Ch. 3. Developing a conceptual framework -- Ch. 4. Methodology -- Ch. 5. Results and discussion: observation of numeracy lessons -- Ch. 6. Results and discussion: the supportive classroom reflection (SCR) sessions -- Ch. 7. Conclusions

Date Deposited: 03 Feb 2015 03:05
Last Modified: 29 Sep 2016 23:20
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