Review Article

Using erroneous examples as a strategy to teach Grade 9 algebraic linear equations

Julius Gwenzi, Tšhegofatšo P. Makgakga
African Journal of Teacher Education and Development | Vol 4, No 1 | a103 | DOI: https://doi.org/10.4102/ajoted.v4i1.103 | © 2025 Julius Gwenzi, Tšhegofatšo P. Makgakga | This work is licensed under CC Attribution 4.0
Submitted: 10 March 2025 | Published: 24 July 2025

About the author(s)

Julius Gwenzi, Department of Mathematics Education, School of Teacher Education, University of South Africa, Pretoria, South Africa
Tšhegofatšo P. Makgakga, Department of Mathematics Education, School of Teacher Education, University of South Africa, Pretoria, South Africa

Abstract

Background: This study explored the impact and effectiveness of using erroneous examples for teaching Grade 9 algebraic linear equations.
Aim: The strategy was designed to allow learners to learn from their own mistakes and, therefore, help them close the gap(s) between their prior knowledge and the new knowledge.
Setting: This study was conducted with two Grade 9 classes from two secondary schools in the Gauteng Central district of South Africa.
Methods: A quasi-experimental design in the form of a pre-test–intervention–post-test was used with the experimental group (n = 31 in the pre-test and n = 22 in the post-test), while the pre-test and post-test with regular teaching were administered with the control group (n = 28 and n = 24). Both schools are public schools. The experimental school is in the former disadvantaged African township and the control school is in the semi-urban Indian township.
Results: The results revealed a significant difference between the pre-test and the posttest. The control group performed better than the experimental group, with the mean scores of x = 23.00000 and x = 18.83333, respectively. However, the experimental group’s mean scores have improved significantly in the post-test, from x = 1.12903 to x = 18.83333.
Conclusion: The findings revealed that the experimental group’s mean score increased better than the control group’s after the intervention.
Contribution: The study suggests that using erroneous examples effectively improves learners’ performance in solving algebraic linear equations.


Keywords

algebraic linear equations; errors; erroneous examples; mathematics education; learner performance.

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