Transformation Geometry Essay
According to Kirby and Boulter (1999, p.285), transformations or transformation geometry is a “subset of geometry which makes the learners identify and illustrate the movement of shapes”. They also highlight its importance as being a topic which adds to the students’ development of their spatial and visual skills which in turn contributes their achievement. It also encourages the learners to be able to “mentally manipulate, rotate, twist or invert a pictorially presented stimulus object” (McGee, 1979, p.893). Furthermore, it allows learners to make original interpretations of the mathematics they have learnt so far. In a research conducted by Bansilal and Naidoo (2012, p.27), they have studied the students’ visual strategies in order to see how the “learners’ use of visualisation techniques could contribute to more effective problem solving”.
Literature shows that students face a lot of difficulties in understanding transformation geometry as it is more abstract that other topics taught in our secondary schools (Harper, 2002). This view is supported by Desmond (1997), Edwards and Zazkis (1993) and Law (1991) that
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It was also emphasised by Soon (1992, p.24) that some textbooks do not use the Van Hiele’s model of geometry which in turn makes teacher unable to deliver the appropriate content to the learners. Soon (1989) has observed that the use of dynamic geometry software is a powerful tool to develop a better understanding of operational thinking to conceptual thinking in transformational geometry. Soon (1989) laid down the significance of using the Van Hiele’s model for students to understand the topic along with the use of the appropriate dynamic geometry
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