An exploratory study into grade 12 learners’ understanding of Euclidean Geometry with special emphasis on cyclic quadrilateral and tangent theorems
Date
2007-02-16T12:48:21Z
Authors
Cassim, Ishaak
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Abstract
This research report explored the strategies which grade 12 learners employ to solve
geometric problems. The purpose of this research was to gain an understanding of
how grade 12 learners begin to solve geometric problems involving cyclic
quadrilateral and tangent theorems. A case study method was used as the main
research method. The study employed the van Hiele level’s of geometric thought as a
method for categorising learners levels of understanding. Data about the strategies
which learners recruit to solve geometric problems were gathered using learner-based
tasks, semi-structured interviews and document analysis.
From the data gathered, the following patterns emerged: learners incorrect use of
theorems to solve geometrical problems; learners base their responses on the visual
appearance of the diagram; learners “force “ a solution when one is not available;
learners’ views of proof. Each of these aspects is discussed.
The report concludes that learners strategies to solving geometric problems are based
largely on the manner in which educators approach the solving of geometrical
problems.
Description
Student Number : 8800092K -
MSc research report -
School of Education -
Faculty of Science
Keywords
geometric eye, geometric reasoning, geometric thought