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Tšhegofatšo P. Makgakga – Pythagoras, 2023
Error analysis is an instructional strategy that can assist teachers to identify learners' areas of weakness in mathematics and that can point to remediation of those errors. This article explores the errors learners exhibit when solving quadratic equations by completing the square using Newman's Error Analysis Model. A research study explored the…
Descriptors: Error Patterns, Mathematics Instruction, Error Correction, Problem Solving
Reid O'Connor, Bronwyn – Australian Mathematics Education Journal, 2022
Quadratic equations are a notorious topic for the challenge it provides to students in secondary mathematics. Despite this, there is limited research, particularly in the Australian context, that explains why such challenges persist. This article details the causes of Year 11 students' difficulties in solving quadratic equations. Observing…
Descriptors: Equations (Mathematics), Mathematics Instruction, Secondary School Students, Grade 11
Pournara, Craig; Hodgen, Jeremy; Sanders, Yvonne; Adler, Jill – Pythagoras, 2016
It is well known that learner performance in mathematics in South Africa is poor. However, less is known about what learners actually do and the extent to which this changes as they move through secondary school mathematics. In this study a cohort of 250 learners was tracked from Grade 9 to Grade 11 to investigate changes in their performance on a…
Descriptors: Secondary School Mathematics, Algebra, Grade 9, Grade 10
O'Connor, Bronwyn Reid; Norton, Stephen – Mathematics Education Research Group of Australasia, 2016
This paper examines the factors that hinder students' success in working with and understanding the mathematics of quadratic equations using a case study analysis of student error patterns. Twenty-five Year 11 students were administered a written test to examine their understanding of concepts and procedures associated with this topic. The…
Descriptors: Mathematics Instruction, Equations (Mathematics), Case Studies, Error Patterns