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Pythagoras
Scopus
ISSN 1012-2346 · AOSIS · 304 articles in the index
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Journal Article
Knowledge construction of trigonometric equations of Grade 11 learners: A constructivist perspective
The way learners define mathematics shapes their perceptions of its nature as a subject and its relevance to their lives. In South Africa, many learners have limited exposure to meaningful mathematical experiences, which contributes to low achievement levels. This study investigates how 17 Grade 11…
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Journal Article
Problem-solving in geometry: A multilingual perspective through commognitive and Polya’s steps of problem-solving
Based on the first author’s doctoral research, this article explores the connection between Sfard’s commognition theory and Polya’s four steps of problem-solving. The article highlights how commognition, through its focus on language and discourse, helps explain learners’ problem-solving approaches…
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Journal Article
Table of Contents Vol 46, No 1 (2025)
This Table of Contents reflects the print compilation of peer-reviewed articles published in the journal. Each article listed was originally published online under the journal’s open access model and remains individually accessible and citable. This compilation has been created solely for print…
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Journal Article
Concept-based instruction: Improving learner performance in mathematics through conceptual understanding
The study examined the impact of concept-based instruction on the teaching and learning of mathematics. Functions is the topic that was implemented in order to identify the improvements in learners’ understanding. A total of 35 Grade 11 learners from a South African township school in Limpopo…
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Journal Article
Philosophy of revitalising mathematics education in society: A historical discourse
As an academic discipline, mathematics is more than a set of computing mechanisms; it is argued by scholars that the quality of mathematics education is in decline today in human society. Historically, mathematics and philosophy had a close interrelationship enabling the understanding of various…
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Journal Article
Table of Contents Vol 45, No 1 (2024)
This Table of Contents reflects the print compilation of peer-reviewed articles published. Each article listed was originally published online under the journal’s open access model and remains individually accessible and citable. This compilation has been created solely for print distribution…
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Journal Article
Instructional-based learning of cyclic quadrilateral theorems: Making geometric thinking visible and enhancing learners’ spatial and geometry cognitions
Geometry learning has a long history with the connection to human cognitive development. The ability to mentally or physically orient 2D shapes or 3D objects in space is believed to support achievement in science, technology, engineering, and mathematics (STEM) disciplines. Thus, geometry by its…
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Journal Article
Analysis of preservice teachers’ understanding of solving trigonometric equations: A perspective through actions, processes, objects, and schemas theory
This study analysed first-year preservice teachers’ understanding of trigonometric equations at a South African university in the Eastern Cape province. We employed the Action-Process-Object-Schema (APOS) framework to analyse the mental constructions made by preservice teachers in solving…
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Journal Article
Harnessing GeoGebra as a modelling tool to mitigate undergraduate engineering mathematics students’ misconceptions and errors associated with complex numbers
This article reports on the effectiveness of GeoGebra as a modelling tool to mitigate undergraduate engineering mathematics students’ misconceptions and errors associated with complex numbers. GeoGebra is a transformative open-source mathematical software that allows students to visualise and…
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Journal Article
Manifestations of computational thinking practices on preservice mathematics teachers’ pen-and-paper problem-solving
The development of computational thinking has been declared a necessity for everyone in the current digital era. Most studies dedicated to the development of computational thinking have focused on using plugged activities. However, in developing countries like South Africa, most schools struggle…
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Journal Article
Exploring pre-service mathematics teachers’ intuitive strategies for solving open equivalence relations problems
This article contributes to the body of research on equivalence relations by delineating the levels of sophistication and efficiency in the intuitive strategies employed by pre-service teachers (PSTs). Using an inductive approach, we analysed 1102 responses to two open equivalence relations…
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Journal Article
The views and experiences of Grade 3 teachers in developing learners’ algebraic representations
The global concern over low mathematical achievement consistently challenges educational ministries. Poor development of learners’ algebraic representations contributes to poor mathematical achievement from the Foundation Phase classes (Grades 1–3). In short, in teaching algebraic representation in…
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Journal Article
Context matters: Why we must consider resources and context when implementing artificial intelligence tools in the teaching and learning of mathematics in South Africa
South African schools face stark inequalities in infrastructure, connectivity, language, and teacher preparedness. These contextual factors profoundly shape what artificial intelligence (AI) can and cannot do for mathematics teaching and learning. This article synthesizes recent peer-reviewed…
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Journal Article
Simplifying algebraic expressions with brackets: Insights into Grade 10 learners’ structure sense through a study of their errors
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…
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Journal Article
A graphical user interface tool to teach plane curves in pandemic situations through a flipped classroom
During the pandemic and lockdown situations of the last few years, we transitioned to online, physical, and hybrid education approaches at various times. We had difficulty teaching multiple calculus and analytical geometry units online. In light of the current situation, a graphical user interface…
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Journal Article
Teachers’ competence in the use of technology in teaching and learning mathematics in two rural schools
Mathematics is one of the key subjects in the South African schooling system. Improving mathematics learning is an ongoing concern especially in rural schools. Rural schools are expected to be equipped with educational technology tools and schooling communities are concerned about the extent to…
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Journal Article
Exploring preservice teachers’ pedagogical content knowledge for teaching analytical geometry in multilingual classrooms
The narrative permeating higher education institutions globally is the intention to advance the quality of preservice mathematics teachers to gain better performance than mathematics school learners. In this article we report on a qualitative case study which explored the pedagogical content…
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Journal Article
Pre-service mathematics teachers’ perceptions based on two differing mathematically underpinned debates
This study explores how pre-service mathematics teachers build alternative model simulations of real-world scenarios. Inclusion in the formal structures for wealth generation and accumulation is a fervently debated issue in South Africa. Share owning in companies listed on the Johannesburg Stock…