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Teaching and learning of college mathematics an d student mathematical thinking : are the lines of the same track?
Singh, Parmjit1, Teoh, Sian Hoon2, Nor Syazwani Rasid3, Nurul Akmal Md Nasir4, Cheong, Tau Han5, Norziah Abdul Rahman6.
Studies related to school mathematics have shown that students who scored
well on standardized tests often are unable to successfully use memorized
facts and formulae in real-life application outside the classroom. The
outcome of TIMSS and PISA studies further emphasizes the importance
of mathematics teaching and learning in the Malaysian education system.
Various measures have been taken by the Ministry of Education to enhance
the teaching and learning of mathematics in schools. However, issues
related to college mathematics have yet to be addressed.In the past decade,
universities have been bogged down with ranking systems(such as Times
Higher Education University Rankings, QS ranking) and Quality Indicators
for Learning and Teaching related to issues such as studentsgraduating on
time (GOT). In this paper, we investigate the finer points of mathematics
teaching and learning. Our premise is that practical knowledge (common
sense) and mathematics knowledge are closely related in the learning of
mathematics in college.Three case studies are discussed in this paper to
highlight this premise. These studies revealed that college students gradually
practices rote learning and their final grades do not reflect the development
of mathematical thinking. Furthermore, the teaching approach that focuses
on computation deters students from fully developing their understanding
of why or when they should be applied. Teaching instructions should shift from learning the rules for operations to understanding mathematical
concepts which promotes the development of mathematical thinking.
Students should be equipped with “problem solving tools” that would
allow them to be accommodative to changing needs (Treffinger, 2008).
It involves the acquisition and application of mathematics concepts and
skills in a wide range of situations, including non-routine and real world
problems to provide learning opportunities for problem solving. Hence we
strongly propose mathematical problem solving as a new course central in
the development of mathematical thinking at the tertiary level.
Affiliation:
- Universiti Teknologi MARA, Malaysia
- Universiti Teknologi MARA, Malaysia
- Universiti Teknologi MARA, Malaysia
- Universiti Teknologi MARA, Malaysia
- Universiti Teknologi MARA, Malaysia
- Universiti Teknologi MARA, Malaysia
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Indexed by |
MyJurnal (2021) |
H-Index
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2 |
Immediacy Index
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0.000 |
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Indexed by |
Scopus 2020 |
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CiteScore (0.5) |
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Q4 (Education) |
Additional Information |
SJR (0.198) |
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