Mpalami, Nkosinathi (2013) Understanding and using mathematical representations: a case study of prospective primary school teachers in Lesotho. PhD thesis, Dublin City University.
Abstract
A decade has passed since the introduction of free primary education in the year
2000 in Lesotho. Studies such as the Needs Analysis (Lesotho College of Education,
2006) that were carried out in order to inform the Ministry of Education and Training
about progress made in the teaching of core subjects in schools during the decade of
free primary education reveal that there are multiple problems associated with the
teaching of primary school mathematics. The reality of overcrowded classrooms
impinges on the effective teaching of mathematics. Overcrowding is a generic
problem facing many schools in Lesotho. However, other problems are both content
and pedagogically oriented.
Learning to teach mathematics is a complex process. It involves among other
things, gaining Pedagogical Content Knowledge (PCK) (Shulman, 1986). The
purpose of this study is to explore prospective elementary teachers’ understanding and
use of mathematical representations. By mathematical representations I refer to
instructional resources, through which teachers make mathematics comprehensible to
learners. The three modes of representation (enactive, iconic, and symbolic) provide
contexts for both learners and their teacher(s) to construct, negotiate, and re-construct
meaning for mathematical concepts, procedures, and processes. The choice and use of
representations is a key component of teachers’ PCK.
This study is designed in four distinct tiers, spread over three years, to explore
the development of understanding and use of mathematical representations for
teaching, by a group of prospective elementary teachers in Lesotho. The main
analytical framework was the Knowledge Quartet (KQ) (Rowland, Huckstep and
Thwaites, 2005). The findings indicate that participants’ mathematical knowledge
(foundation) influences their choice of representations and their use in instruction. I
found that participants with strong mathematical knowledge are able to choose
appropriate representations and are also able to use them effectively. It is
recommended that for the improvement of mathematics teaching in Lesotho, the KQ
be incorporated into mathematics courses studied by prospective elementary teachers
at Lesotho College of Education. The model will assist student teachers to learn to
plan and teach mathematics topics collaboratively, and therefore act as a tool for
teacher development.
Metadata
Item Type: | Thesis (PhD) |
---|---|
Date of Award: | November 2013 |
Refereed: | No |
Supervisor(s): | Corcoran, Dolores |
Uncontrolled Keywords: | Pedagogical Content Knowledge; PCK; enactive; iconic; symbolic |
Subjects: | Social Sciences > Education Social Sciences > Teaching |
DCU Faculties and Centres: | DCU Faculties and Schools > Institute of Education |
Use License: | This item is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 3.0 License. View License |
ID Code: | 22541 |
Deposited On: | 07 Aug 2018 09:44 by Thomas Murtagh . Last Modified 07 Aug 2018 09:48 |
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