Research suggests that troubleshooting activities that require students to reflect on teacher-crafted erroneous examples; i.e., erroneous solutions to problems that correspond to widespread naïve ideas, are beneficial to learning. One possible explanation to these beneficial effects is that troubleshooting activities encourage students to test the…

In the boxplot, the box always represents -- regardless of its area -- the middle half of the data and thus a measure of variability (interquartile range). However, when students first learn about boxplots, they are usual already familiar with other forms of statistical representations (e.g., bar or circle graphs) in which a larger area represents…

This paper analyses learners' common errors in simplifying algebraic problems. 102 Grade 10 learners from three rural schools in South Africa participated in the study. Following a quantitative approach, content analysis of learners' responses to algebraic tests revealed that while learners commit several errors in algebraic problems, encoding and…

Students' competence in solving trigonometry has been in doubt but little attention has been given in the area of research. An assessment of students' answers to trigonometry problems is crucial to dealing with their conceptual challenges. This study employed a descriptive qualitative research design, with the goal of evaluating errors made by…

The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…

This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…

This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

This qualitative study aims to investigate the mediation strategies employed by teachers who participated in a professional development (PD) course, focusing on the teaching of Grade 9 linear equations. Within the context of the PD course, teachers engaged with various pedagogical approaches for teaching linear equations and other secondary school…

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…

High school teachers often encounter incorrect solutions from students, especially when teaching combinatorics. This study investigates the ability of prospective mathematics teachers to assess the correctness of solutions to combinatorial problems and to falsify incorrect ones. 39 second-year prospective teachers participated in the experiment,…

The current study expands on previous research on gender differences and similarities in science test scores. Using three different approaches -- differential item functioning, differential distractor functioning, and decision tree analysis -- we examine a high school science assessment administered to 3,849 10th-12th graders, of whom 2,021 are…

This study aimed to evaluate the effectiveness of a remedial teaching intervention in improving learners' understanding of trigonometric equations. Using a mixed methods exploratory case study design, a purposive sample of 24 Grade 11 learners from a rural school in the Eastern Cape province participated in the intervention. The research involved…

The current study investigated the associations among trait perfectionism, worry about mistakes, mistake rumination, L2 anxiety, and willingness to communicate in adolescents. A key element was examining the psychometric properties of a new measure of worry about mistakes as well as the Mistake Rumination Scale and the short Child-Adolescent…

This study explores using transfer learning in machine learning for natural language processing (NLP) to create generic automated essay scoring (AES) models, providing instant online scoring for statewide writing assessments in K-12 education. The goal is to develop an instant online scorer that is generalizable to any prompt, addressing the…