An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

Literature is well-stocked with studies confirming that an instructional approach, self-efficacy, and mathematical reasoning skills are critical for enhancing students' conceptual understanding and achievement in mathematics. However, there has been little emphasis on establishing whether being able to reason mathematically depends only on the…

This research study explored teachers' self-reported uptake as well as observed instructional change after participating in a year-long professional development (PD) program focused on supporting the learning and teaching of transformations-based geometry. Analyses illuminate the degree and nature of the pedagogical shifts made by teachers who…

This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in…

This paper describes an investigation looking at the underlying mathematics of poker machines. The aim of the investigation is for students to get an appreciation of how poker machines are designed to ensure that in the long-term players will inevitably lose when playing. The first part of this paper describes how students can model a simple poker…

In this article we explore female learners' perceptions of learning Grade 11 geometry. Many learners have difficulty in learning geometry in mathematics, thus, teachers and researchers are constantly searching for reasons why learners have challenges with learning geometry with the aim of developing suitable pedagogic strategies to alleviate these…

This study attempted to develop a literature-informed discourse-based instructional approach and evaluated its effects on eleventh-grade students' conceptual and procedural understandings in probability and statistics. To this end, a quasi-experimental study that involved two control groups and one experimental group was used. One-way analysis of…

The teaching of Euclidean geometry is a matter of serious concern in South Africa. This research, therefore, examined the Euclidean geometry learning experiences of 16 Grade 11 students from four South African secondary schools. Data were obtained using focus group discussions and student diary records. Students who were taught using a Van Hiele…

With the increased workplace demand for STEM specialists, and the trend in capable students opting out of higher levels of secondary mathematics, the psychological influences on mathematics subject choice are important issues to explore. Expectancy-value theory is used to examine the factors influencing such achievement choices. In the present…

Expectancy-value theory mostly focuses on how expectancy and value beliefs are associated with academic achievement. Both expectancy and value beliefs are multidimensional and can be further decomposed into general and specific factors. However, few studies have explored the associations of these general and specific factors with academic…

In the present study, the impact of formative assessment on secondary school students' mathematics achievement and their metacognitive awareness was examined. The participants included 164 (84 boys) grade 11 students and four mathematics teachers from four secondary schools in Kenya. A quasi-experimental pretest-posttest non-equivalent group…

In this study, we examined whether generalised mathematics anxiety, application of mathematics in science anxiety, and positive attitudes towards mathematics influenced adolescents' intentions to study biology, chemistry, and physics in Grades 11 and 12. Participants were 477 students in Grades 8-10 from two schools in Western Sydney. Girls…

In the State of Queensland in Australia, Years 11 and 12 students can opt to study calculus based or non-calculus based mathematics. Calculus based mathematics subjects are a prerequisite for Science, Technology, Engineering and Mathematics (STEM), which has been identified as critically important for current and future productivity by the…

This study reviews how slope is developed in expository materials across a seven-textbook series. Slope development is analyzed using a framework of five slope components to describe which components are used and connected, and by investigating accompanying levels of covariational reasoning. Findings suggest that the series describes slope from…

Self-assessment, in the education framework, is a methodology that motivates students to play an active role in reviewing their performance. It is defined as "the evaluation or judgment of 'the worth' of one's performance and the identification of one's strengths and weaknesses with a view to improving one's learning outcomes". The goal…