Learners' difficulties with proof have been ascribed to their lack of understanding of functions that proof performs in mathematics, namely, verification, explanation, communication, discovery, and systematization. However, the extant mathematics education literature on validation of instruments designed to measure learners' beliefs about the…

The technological, pedagogical and content knowledge (TPACK) framework was developed incorporating content, pedagogical and technological knowledge. Studies used TPACK constructs and reported on teachers' TPACK and student learning, but none explored the correlation between teachers' TPACK and the achievement of their learners. This research…

South African teachers experience challenges with the implementation of the national school curriculum -- the "Curriculum and Assessment Policy Statement" (CAPS). In this regard, teachers may not feel empowered to effectively deal with the demands of the current educational policy. Concerns have been expressed about learners' poor…

This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The…

The purpose of this study was to investigate the relationship between the nature of small group discussion tasks and learners' talk during Physical Science lessons. The study was conducted during Physical Science lessons with three self-selected groups of Grade 11 learners from one school. A total of three lessons were followed. During the…

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 knowledge (PCK) of preservice teachers (PST) (n = 20) at…

This qualitative case study explored how exposure to Process-Oriented Guided Inquiry Learning (POGIL) improves 11th grade physical sciences learners' competency in solving stoichiometry problems. Two township schools of low socioeconomic status in Pretoria, South Africa, were conveniently and purposively sampled. Two classes (N = 48) composed of…

The purpose of this paper is to compare chemistry test performances between learners studying in resourced and under sourced schools. This has made many South Africans sensitive towards getting a better education for the upcoming generation. Common perception amongst the community is that private schools provide a better education due to their use…

The research reported here examined the outcome of using interactive simulation technology (IST) as a guided-inquiry approach to enhance learners' conceptual knowledge of electrostatics in physics. Participants were Grade 11 physical sciences learners (n = 60) and a teacher from a rural school in South Africa. Learners were randomly assigned to an…

In this paper, we explored the type of mathematical connections Grade 11 learners make when solving two-dimensional (2D) trigonometric problems in an Activity-Based Learning (ABL) environment. We followed a qualitative case study design within an interpretive paradigm. Convenience sampling was used to select a whole class of 45 Grade 11 learners…

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship between the two domains of knowledge in some branches of mathematics, the relationship between learners' procedural and conceptual knowledge of…

It is widely recognized that students encounter difficulties with proof across all grades and beyond, yet standardized instruments related specifically to students' perceived self-efficacy for mathematical proof have not been readily available. The purpose of this study was to develop and investigate preliminary validity evidence for a new…

Many youths complain about mistaken career choices even at the point of graduating from higher education institutions in spite of career advice provided by the school and the government. This article investigated the impact that home factors and parental characteristics have on learners' career choices in a secondary school in Mamelodi East,…

This study explored students' mathematics-related beliefs and the relationship between the beliefs and their strategies for solving non-routine mathematical problems. The study was guided by Daskalogianni and Simpson's 2001 belief systems categories and strategies for non-routine mathematical problems. The participants were 625 grade 11 students…

This study investigated the effects of the "dance with fruits" analogy on student's alleviation of alternative conceptions among physical sciences high school students in one of the rural province in South Africa. The study used a sequential mixed method research design consisting of quasi-experimental control group pre-test, post-test…