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…

The divide between theory and practice is an enduring challenge commonly attributed to disconnection in teacher knowledge between 'knowing what to do' (planning) and 'doing what you know' (enacting in class). We re-visited this divide from the new perspective of pedagogical content knowledge with the purpose of examining the ways in which…

In this paper we probe prospective mathematics teachers' thinking as displayed in their solutions to a geometry content knowledge-based task. Geometry content knowledge is examined in terms of connections made by these prospective teachers between the geometric configurations and the geometric principles established through visualization and…

The study in this paper reports on whether an online homework system in combination with a flipped classroom has a positive effect on success rates of first year statistics students. Departing from a traditional teaching model (Baseline), the technology-based intervention strategies implemented were firstly the Aplia™ interactive online homework…

Children experience physical phenomena and formulate an epistemological worldview before contact with school science. School science extends thought about the same phenomena to deeper levels but does not always link with out-of-school experiences. This study explored preservice teachers' indigenous knowledge or tacit knowledge about the playground…

This paper analyses student teachers' meta-narratives associated with 'doing' mathematics. The quality of the vocabulary associated with the doing of the mathematical objects of a sample of 56 multilingual third-year mathematics methodology students preparing to be secondary teachers was explored and assessed. Sfard's theoretical concept of…

Mathematical literacy (ML) is a compulsory subject in South Africa for those learners who choose not to do mathematics to Grade 12 level. ML is designed to enable a learner to become a self-managing person by providing opportunities to analyse and solve real-life problems through the mathematisation of contextual situations. The subject thus lends…

This paper reports on an aspect of a larger research study conceptualised within a teacher development project in Mthatha, Eastern Cape Province. The project was initiated with the objective to develop appropriate skills to use dynamic geometry software (DGS) effectively and strategically as a teaching and learning tool for mathematics. The study…

This article reports on a study that investigated the extent to which 57 Grade 6 students at a particular school have misconceptions regarding equality, with the equal sign as focus. It also investigated this school's three Grade 5 and 6 teachers' mathematical knowledge for teaching regarding equality, again focusing on the equal sign. The…

This article explores teachers' knowledge and views on the role of learners' socio-cultural background when teaching Natural Sciences to Grade 9 learners at three South African township schools. Within a socio-cultural framework, the research investigated how teachers accommodate learners' cultural norms and values, religion and beliefs,…

The underperformance of South African learners in literacy and numeracy is a cause of concern, especially at the transition from Grade 3 to Grade 4. At Grade 4 in South Africa, the majority of learners begin learning in English, which to them is an additional language posing transition challenges of a linguistic nature. The sustained poor…

Professional learning communities as a form of teacher development have been in existence internationally for some time now and more recently in South Africa. Although strong claims have been made for their influence on teacher practices, very few research studies have investigated these claims. This paper presents a case study that connects…

Current practices in the South African secondary school subject Mathematical Literacy afford a limiting education experience for thousands of learners, the majority of whom are black and located in poor socio-economic environments: learners are confronted with pseudo-realistic contexts and engage only elementary mathematical contents. The…

Metacognition encompasses knowledge and regulation that, through reflection, sustain problem solving behaviour. How metacognitive awareness is constructed from reflection on metacognitive knowledge and regulation and how these reflections enable metacognitive skills for Mathematics problem solving remain unclear. Three secondary schools…

Science Expos are intended to develop and empower learners to identify local problems and hence find solutions thereof using scientific processes. Science Expos are perceived as spaces for sharing experiences of science which engender love for science so that learners may ultimately pursue science-related careers. Despite these ideals, there is…