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…

Embodied forms of representation like gesture have been shown to play an important role in how learners conceptualize phenomena in physics; however, we know little about how students use gesture to capture the idea of "instantaneity." Drawing on multimodal microanalysis of interaction, we examine how undergraduate physics students use…

Cognitive presence is essential for deep and meaningful learning, yet developing it poses challenges. Theoretically, peer-led teaching presence can enhance cognitive presence, but research on this facilitation is limited. This study used behavioural sequence analysis to investigate how peer-led teaching presence promotes cognitive presence…

This article considers the rise of generative Artificial Intelligence (GenAI) in the context of secondary mathematics education, focusing on its responses to cognitively demanding tasks and the pedagogical implications of these interactions. Using tools such as ChatGPT (OpenAI) and Gemini (Google), we investigate how GenAI engages in complex…

Graded Troubleshooting (GTS) is a powerful routine that teachers can use easily to engender students' metacognitive thinking and boost their understanding of mathematics concepts and procedures. This article describes a new GTS activity designed to prompt students to efficiently exploit worked examples when asked to diagnose erroneous examples…

The ability to reason with representations is pivotal for successful learning in Organic Chemistry and is closely linked to representational competence. Given the visual nature of this discipline, this comprises competency in extracting and processing relevant visual information. With regard to the resonance concept, proficiency in identifying…

The problem solving performed by students in solving mathematical literacy problems shows that at the developmental stage of proportional reasoning students have different strategies, especially at the developmental stage of functional and scalar relationships. The purpose of this study is to identify and explore the developmental stages of…

Creative thinking stems from the cognitive process that fosters the creation of new ideas and problem-solving solutions. Artificial intelligence systems and neural network models can reduce the intricacy of understanding creative cognition. For instance, the generation of ideas could be symbolized as patterns of binary code in which clusters of…

Mathematical self-efficacy refers to an individual's belief in their ability to successfully perform tasks and solve problems in mathematics. This Snapshot examines gender differences in mathematical self-efficacy and the levels of confidence that students feel in doing a range of formal and applied mathematics tasks. It also examines the extent…

This paper presents the findings of a study involving 16 undergraduate students enrolled in a basic financial mathematics course. The study aimed to examine the nature of the students' problem-posing and problem-solving products and processes, as well as the interactions between the two. The findings revealed that the majority of the posed…

Undergraduates often express that they feel powerless to help solve important challenges such as climate change and environmental degradation, consistent with the broader phenomena of ecoparalysis. Viewed through value-expectancy frameworks for motivation, value for an outcome and self-efficacy to achieve it lead to goals, which motivate…

In this study, temporal speech cues were integrated into online curriculum to solve non-routine problems in curricular multimedia. Teachers-in-training (n=56) were randomly assigned to one of three treatment conditions. It was expected that participants in the temporal speech cues condition would be more likely to solve problems than those in the…

Contributions: This article presents the results from a teaching innovation project based on the creation of educational videos by students and their assessment through blind peer review in the context of an electric circuit course. This article also analyses the activity's impact on learning outcomes by comparing the results of participating…

Solving word problems is challenging for many children, but particularly for those with language difficulties. The objective was to examine the nature of the challenges experienced by children with language difficulties as they solved word problems in the context of a developmental-trajectory instructional sequence. We recruited 45 third graders…

Learning programming has become increasingly popular, with learners from diverse backgrounds and experiences requiring different support. Programming-process analysis helps to identify solver types and needs for assistance. The study examined students' behavior patterns in programming among beginners and non-beginners to identify solver types,…