Mapping pre-service teachers’ faulty reasoning in geometric translations to the design of Van Hiele phase-based instruction

South African Journal of Childhood Education

Field Value
Title Mapping pre-service teachers’ faulty reasoning in geometric translations to the design of Van Hiele phase-based instruction
Creator Mbusi, Nokwanda P. Luneta, Kakoma
Subject — errors and misconceptions; Van Hiele theory; instructional design; geometric translations; intervention
Description Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs’ faulty reasoning displayed in errors they make.Aim: The aim of this study was to explore the use of Bachelor of Education (BEd) students’ faulty reasoning in geometric translations, in designing a Van Hiele phase-based instructional programme that could address such faulty reasoning.Setting: The setting for the study was a newly established rural university in South Africa.Methods: Tests on geometric translations were administered to BEd Foundation Phase students, followed up by interviews to explore errors made when responding to the test items. The errors were then mapped to the design of a Van Hiele phase-based instructional programme.Results: The results revealed that the students had several misconceptions with geometric translations. The misconceptions were delineated into the errors that the students displayed and these were classified under two themes. The first theme was incorrect properties of transformation and under this theme, the errors were coded as confusing translation with rotation, wrong translation method, incorrect interpretation of coordinates and confusing the x and y axis. The second theme was errors involving basic mathematics operations including wrong diagrammatic representation of coordinates and incorrect calculations.Conclusion: The study showed that if the students’ misconceptions and the resulting errors are mapped to specific instructional approaches, their faulty reasoning in geometric transformations is addressed and effective learning is enhanced.
Publisher AOSIS
Date 2021-09-30
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format text/html application/epub+zip text/xml application/pdf
Identifier 10.4102/sajce.v11i1.871
Source South African Journal of Childhood Education; Vol 11, No 1 (2021); 11 pages 2223-7682 2223-7674
Language eng
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Coverage — — Adult African students from rural university
Rights Copyright (c) 2021 Nokwanda P. Mbusi, Kakoma Luneta