Conceptual and procedural difficulties experienced by National Certificate vocational level 4 students in solving factorisation problems at a Kwazulu-Natal technology centre

Abstract

The purpose of this interpretive qualitative study was to determine the extent of conceptual and procedural difficulties that NCV Level 4 students encountered when factorising and solving problems involving factorisation. This study is based on Kilpatrick, Swafford and Findel’s (2001) ideas on mathematical proficiency, focusing on conceptual knowledge, procedural knowledge and the flexibility of integrating both appropriately to solve algebra problems involving factorisation. This study also explored reasons why NCV Level 4 students demonstrated such difficulties and suggested possible ways that could assist them to understand and flexibly use factorisation to solve problems. A purposive sample consisting of 30 NCV Level 4 students and 5 Subject Matter Experts participated in this study, which adopted a phenomenological case study research design. Triangulation of method was adopted for consistent gathering of information. Data was collected through a written assessment on factorisation under controlled test conditions, and semi-structured interviews. The researcher reduced and analysed data by utilising an integration of constant comparison analysis and classical content analysis. The findings and relevant recommendations concluded this research.