Errors and misconceptions displayed by learners in transformational geometry at Ordinary level at Chionde secondary school in Muzarabani district
- Author
- Chikwape, Knowledge
- Title
- Errors and misconceptions displayed by learners in transformational geometry at Ordinary level at Chionde secondary school in Muzarabani district
- Abstract
- This study investigates the errors and misconceptions exhibited by Ordinary Level learners in transformational geometry at Chionde Secondary School in Muzarabani District, Zimbabwe. Using an action research approach, the study engaged 50 Form Four learners of mixed abilities through a combination of pre and post-tests, written tasks, questionnaires, and semi-structured interviews with mathematics teachers. Sampling was conducted using both purposive and stratified random techniques. All learners selected were actively studying mathematics, ensuring relevance to the research focus. Stratified random sampling was employed to select 15 learners for in-depth interviews, categorized into three performance strata: high (7 learners), average (5 learners), and low (3 learners). This stratification enabled the researcher to capture a range of learner experiences and cognitive challenges. Additionally, two mathematics teachers were purposively selected for interviews based on their experience teaching transformational geometry. The research aimed to identify the nature and causes of learners’ errors and misconceptions, and to propose intervention strategies for improving teaching and learning practices. Findings revealed a range of non-systematic errors such as misreading questions and omitting critical information and systematic errors rooted in conceptual misunderstandings, including incorrect plotting of coordinates and misapplication of transformation strategies. The study attributes these challenges to inadequate foundational knowledge, ineffective teaching approaches, and limited visualization skills. Guided by the van Hiele model of geometric reasoning, the research recommends targeted instructional strategies, increased use of visual aids, and hands-on activities to enhance learners’ conceptual understanding and performance in transformational geometry.
- Date
- July 2025
- Publisher
- BUSE
- Keywords
- Errors in Transformational Geometry
- Geometry Misconceptions
- Mathematics Learner Errors
- Teaching Geometry at Ordinary Level
- Supervisor
- Dr Mutambara
- Media
-
Chikwape Knowledge.pdf