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Download full textTšhegofatšo 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
Nadia M. Theba; Craig Pournara; Shikha Takker – Pythagoras, 2024
Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…
Descriptors: Algebra, Grade 10, Mathematics Instruction, Error Patterns
Soneira, Calos; Bansilal, Sarah; Govender, Reginald – Pythagoras, 2021
This study, using a quantitative approach, examined Spanish and South African pre-service teachers' responses to translating word problems based on direct proportionality into equations. The participants were 79 South African and 211 Spanish prospective primary school teachers who were in their second year of a Bachelor of Education degree. The…
Descriptors: Foreign Countries, Preservice Teachers, Elementary School Teachers, Word Problems (Mathematics)
Ubah, Ifunanya; Bansilal, Sarah – Pythagoras, 2019
Many pre-service mathematics teachers in South Africa are apprehensive about the content of Euclidean geometry, because they did not study Euclidean geometry in high school but will be expected to teach the content when they start their teaching career. This article reports on a study that explored the role of semiotic representations in…
Descriptors: Geometry, Geometric Concepts, Mathematics Instruction, Preservice Teacher Education
Million Chauraya; Brodie, Karin – Pythagoras, 2018
The growing perception of professional learning communities as an effective professional development approach needs to be supported with knowledge of how such communities create learning opportunities for teachers. Activities in professional learning communities are underpinned by collegial conversations that foster learning, and in this article…
Descriptors: Communities of Practice, Faculty Development, Mathematics Teachers, Mathematics Instruction
Bohlmann, Carol A.; Prince, Robert N.; Deacon, Andrew – Pythagoras, 2017
When the National Benchmark Tests (NBTs) were first considered, it was suggested that the results would assess entry-level students' academic and quantitative literacy, and mathematical competence, assess the relationships between higher education entry-level requirements and school-level exit outcomes, provide a service to higher education…
Descriptors: Foreign Countries, National Competency Tests, Mathematics Tests, Benchmarking
