ABSTRACT VIEW
A COMPARATIVE ANALYSIS OF GRADE 6 AND 9 LEARNERS’ PERFORMANCES ON GEOMETRIC UNDERSTANDING WITH A FOCUS ON 2D SHAPES
T. Shabangu, B. Mofolo-Mbokane
University of the Witwatersrand (SOUTH AFRICA)
This study explored how learners apply their understanding of geometry to visualise and analyse the properties of 2D shapes. This paper uses Van Hiele’s theory as a theoretical framework. The research design for this study employs a mixed-method approach. A content analysis is used for qualitative research methodology, whereas descriptive statistics is used for quantitative research methodology. 429 learners were assessed in total. With grade 6 (n=271) learners and grade 9 (n=157) learners assessed. The research includes five primary schools with grade 6 classes and two secondary schools with grade 9 classes. The assessment of grade 6 and grade 9 learners is based on their understanding of 2D shapes and geometric knowledge, using the grade 6 level of assessment. The study examined the geometric knowledge performances of grade 9 learners compared to grade 6 learners. It aimed to understand the grade 9 pre-existing knowledge of the properties of 2D shapes. The analysis of the performance results for 2D shapes reveals that grade 6 achieved a much greater percentage of 69.7% compared to the average, while grade 9 obtained an average rate of 56.7%. These findings indicate that the level of pre-existing knowledge of 2D shapes among grade 9 learners is inadequate, and this can be linked to a lack of conceptual knowledge in their earlier grades. The study suggests that educators should employ a pedagogical method that fosters conceptual knowledge, in order for learners to attain and fulfil the geometric understanding required at each Van Hiele level.

Keywords: Visualisation, 2D shapes, Van Hiele, conceptual knowledge, geometric knowledge.