Research on mathematical equivalence, and to some extent, on number structure in early grade mathematics, has shown that most students at primary and secondary levels understand these concepts instrumentally rather than relationally. The study reported in this paper uses a design research approach to explore both mathematical equivalence and…

Evidence in South Africa of poor performance on word problems points to particular challenges among learners relating to difficulties with, on the one hand, making sense of mathematical word problems and, on the other, moving beyond inefficient counting based calculation methods. While many studies in mathematics education in South Africa have…

This paper examines the conceptions of 'number sense' as promoted in pre-service primary mathematics education courses at 11 South African Higher Education Institutions through the texts used by academics or prescribed for students. While all the participating institutions agree that the development of primary school learners' 'number sense' is…

The majority of children in mainstream (no fee, poorly resourced, African language dominant) public schools in South Africa fall significantly behind curricular norms in mathematics by Grade 3; the early learning gap grows across time. The provision of "quality" instructional materials is a well-recognised component of effective…

The purpose of this study, conducted with 44 participants, was to explore their experiences of learning linear algebra using the online content and materials during COVID-19. The conceptual framework was guided by the notion of social presence and connectivisim in the context of remote learning. The study used a questionnaire comprising closed and…

Information and communication technology (ICT) competences are among the most important requirements to effectively teach mathematics and science in today's classrooms. Teacher educators in the Southern African Development Community (SADC) region have prioritised ICT competences for pre-service teachers (PSTs) to effectively select suitable…

The literature describes different stances concerning the focus on how mathematics should be taught, with some preferring a conceptual knowledge approach and others a procedural knowledge approach. The current study investigated the relationship between students' conceptual and procedural knowledge in a calculus context. To better understand the…

In this paper, illustrative excerpts from mathematics lessons are analysed to examine mathematical and multilingual moves between representations within Sepedi and English medium classrooms. Duval's theory of representational registers and the literature on multilingual practices help foreground similarities within and differences between the…

This study explores student teachers' views regarding problem solving in mathematics classrooms. The participants in the study were Bachelor of Education students registered for their second year of teaching practice (at a distance institution) who were asked about their experiences of teaching a mandatory mathematics problem-solving lesson while…

This paper reports on a study conducted with Grade 11 learners as participants, in four public high schools in a rural district of the Eastern Cape Province of South Africa. The central objective was to investigate the mathematical discourses of Grade 11 learners related to the word, algebraic and graphic representations of asymptotes of the…

The literature shows that the integration of technological tools, like "GeoGebra," has the potential to improve the teaching and learning of mathematics. The aim of this study was to see whether "GeoGebra" could be used to address identified, systematic misconceptions that National Certificate Vocational (NCV) students hold…

This paper examines how seven teachers working in contexts of limited resources used the prescribed textbook for teaching, and the kinds of teacher-textbook relationships forged in the interactions. The study employs a sociocultural perspective to explore the processes by which teachers mobilise the affordances of the textbook to the teacher's…

This paper reports on an investigation into management in Mathematics classrooms. Classroom management is contextualised in terms of the managerial actions required to manage classrooms effectively and the extent to which effective classroom management responds to contextual challenges. Relevant literature is reviewed, and theoretical perspectives…

This paper argues that there is a gap in the research on teaching and learning mathematics, and thus a need for research into effective teaching practices. From a selective review of literature, reasons are examined as to why less emphasis appears to have been placed on generating knowledge about teaching and effective mathematical teaching…

This article presents balanced views of Mathematical Literacy (ML) and Mathematics (M), from both an analytical perspective and the subjective perspectives of teachers and learners. From the analytical perspective, policy documents and the literature spanning the period from the inception of ML to date are reviewed. Glimpses into the subjective…