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What Can we
learn from TIMSS 2003?
Caroline Long
Centre for Evaluation and Assessment, University of
Pretoria
South Africa participated in
the Trends in Mathematics and Science Study (TIMSS) in
1995, 1999 and 2003, but not in 2007. Critics have
accused the National Department of Education (DoE) of
opting out because of previous poor results (Business
Day 25th April, 2007). The defense from the
DoE is that the interventions in place have not had time
to take effect. The major question guiding this paper is
“What can teachers learn from South Africa’s
participation in TIMSS 2003?”
The purpose of the TIMSS
study is the improvement of teaching and learning
through evaluating different aspects of the education
system from educational policy to implementation in
schools and finally to learner attainment. One of the
biggest limitations of large-scale international studies
such as TIMSS is that the information obtained does not
reach teachers in a form, which enables them to
interpret the evidence and take action.
In this
paper I describe how the conceptual resources from the
TIMSS study were used to investigate the performance of
a sample of South African children on ratio and
proportional reasoning.
The challenges concerning
implementation of the new mathematics curriculum at
school level are considered in this paper. More emphasis
is placed on those challenges that in the author’s view
can be best handled by AMESA and SAMS (South African
Mathematical Society) together.
Teachers
are, as it were, central to the success of classroom
events. The success to which the use of realistic tasks
will advance is largely determined by teachers’ resolve
about what has to go on in class. But what concerns do
teachers have? This paper presents and reflects on two
studies which make it possible to explore the teachers’
perspectives on the use of realistic tasks. The current
finding is that
there is a range of
concerns, which include the nature of tasks and the type
of learners.
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Hamsa Venkat
Marang Centre, Wits
University
In this paper, the notion of
being ‘functional’ (using mathematics in literate ways)
is considered with reference to two bodies of research –
one finding evidence of mathematical functionality, the
other finding widespread evidence of a lack of
functionality. It is argued that the key difference is
that the first group, located in anthropological and
cross-cultural research traditions, has focused on
functionality within specific activity settings, whilst
the latter group, working within mathematics education,
is calling for a much more generalized notion of
functionality. The implications of the findings of these
two groups for the teaching of Mathematical Literacy are
briefly considered, and some learners’ responses from a
school where some of these implications have been
translated into practice are presented.
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Mathematical Applications, Modeling and Technology
Michael de
Villiers
School of Science, Mathematics & Technology Education,
Univ. of KwaZulu-Natal
(On sabbatical, Dept. of Mathematics & Statistics,
Kennesaw State University)
The new South African
mathematics curriculum through all the grades strongly
emphasizes a more relevant, realistic approach focusing
a lot on applications of mathematics to the real world.
This is in line with curriculum development in most
other countries. For example, the influential NCTM
Standards sums it up succinctly in the following
respective standards for instructional programs in
algebra and geometry from prekindergarten through grade
12 (respectively from http://standards.nctm.org/document/chapter3/alg.htm
http://standards.nctm.org/document/chapter3/geom.htm):
(Students should be enabled to in … )
Algebra
use mathematical models to
represent and understand quantitative relationships;
Geometry
use visualization, spatial
reasoning, and geometric modeling to solve problems.
Like the NCTM Standards,
the new South African curriculum now also encourages for
the first time the use of appropriate technology in
modeling and solving real-world problems as follows
(Dept. of Education, 2002, p. 3):
·
use available technology in
calculations and in the development of models.
But how do our learners and
students interpret mathematics and its relationship to
the real world? What is their proficiency in applying
mathematics, modeling real-life problems (and using
technology efficiently)?
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