POLYGON PIECES: TOOLS TO ADDRESS STUDENTS’
ALTERNATIVE CONCEPTIONS AND MISUNDERSTANDINGS WHEN
LEARNING OF GEOMETRY
Author(s): Shakespear M Chiphambo ,Nosisi N Feza
J. Ponte - Jul 2020 - Volume 76 - Issue 7
doi: 10.21506/j.ponte.2020.7.15
Abstract:
Geometry strand receives limited attention in teaching of mathematics generally. One of the
factors for this practice is that many mathematics teachers lack confidence in the teaching of
geometry, as a result, they ignore teaching it. The problems students face in learning geometry
emanate from how it is taught by most mathematics teachers. This paper investigated students’
alternative conceptions and misunderstandings regarding triangles in the Eastern Cape Province
of South Africa and conducted an intervention using polygon pieces in teaching triangles. A
diagnostic test was administered to assess 58 Grade 8 students’ levels of understanding of
triangles with more emphasis on their properties, and a post-test was administered to evaluate
the intervention. Descriptive analysis was employed for both tests. The qualitative analysis
focused on aligning the students’ responses with the Van Hiele levels of geometric thinking.
The findings indicated students’ alternative conceptions and lack of understanding of the
properties of triangles. Also, the intervention enhanced the students’ performance from a 16%
average in the diagnostic test to 82% performance in the post-test. We, therefore, recommend
the use of polygon pieces to enhance students’ conceptual understanding of geometry.
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