An important topic of study in secondary mathematics is non-linear functions, including quadratic equations. In this study, findings from 25 Year 11 students indicated that difficulties with critical prerequisite concepts such as algebraic conventions impeded students' success in understanding and working with quadratics. Analysis of student…

In this article, we explored Grade 11 learners' algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was followed. Thirty Grade 11 learners from a non-fee-paying secondary school in the Capricorn North district of South Africa were conveniently sampled to participate in this…

This dissertation examines the development of combinatorial reasoning in high school students through an in-depth analysis of a problem-solving session involving the Pizza Problem. The study, part of the long-term Rutgers-Kenilworth longitudinal research project, focuses on four 11th-grade students as they explore and connect concepts related to…

The "proving process" was considered as the stages that should be exist in a proof and in this study, it was aimed to investigate the mathematical proving processes and opinions about proof of gifted students. Case study, one of the qualitative research methods, was used in the study. The research was carried out with the students…

The use of scientific calculators in teaching parabola functions has been shown to have significant effect in learner performance. This study examined the effectiveness of scientific calculators' usage in the teaching and learning of Grade 11 parabola functions to improve learner performance. Bandura's observational learning theory underpinned…

Assessment is essential for teaching and learning mathematical concepts. Teachers' and learners' understanding of how assessment is to be conducted in mathematics classrooms will guide what is to be taught and learnt and how teaching and learning will be conducted. The researchers' assertion is that circle geometry lessons require thinking-based…

Integrating the knowledge of neurology in teaching has been an idea for learning management design for decades. The current study found the potential of brain-based learning (BBL) for developing high school students' mathematics learning achievement. The purposes of the study were to investigate the effects of BBL learning management on grade 11…

Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local…

The study investigated the effect of self-regulated learning (SRL) on mathematics performance among learners in Kenya. The study employed Solomon four research design. A sample size of 408 grade 11 learners from four schools was obtained using stratified and simple random sampling techniques. Validity of the instruments was ensured with assistance…

This study aims to reveal how the embodied cognition of certain geometrical concepts of secondary-school students arises via gestures and what kinds of gestures they produce while engaging with different concepts. The study participants comprised four eleventh-grade students studying at a state high school in Turkey. The study focused on the…

It is well established that spatial reasoning skills (i) support mathematics achievement, (ii) are malleable, and (iii) can be improved through training. More recently, there has been interest in using spatial training to causally support corresponding improvements in mathematics achievement; however, findings so far appear to be mixed. The…

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…

In this paper, we argue that during collaborative classroom interactions, 'the mangle' is entangled in different forms of agency that (dis)enable mathematical agency. We first unpack student's agency in the context of collaborative classroom interactions, and then use excerpts of interactions to illustrate how 'the mangle' is entangled in…

Flipped learning is a constructivist methodology that uses various active learning strategies, drawing on the potential of digital technologies whenever possible. Several research studies have shown the many benefits that flipped learning can bring to students' learning process and their affective sphere, but studies in the specific area of…

In this article, the history of the golden ratio is discussed to demonstrate how exploring this ratio would be of value in a secondary mathematics classroom. Following this, a mathematical activity related to the golden ratio that is suitable for students from Year 7 to Year 12 is outlined.