Background/purpose. Self-efficacy plays a crucial role in enhancing performance in complex tasks such as mathematical modeling, yet its impact remains underexplored. This study examines whether there are influences on students' self-efficacy in modeling. Materials/methods. The research method employs a quantitative design, utilizing regression…

Existing research has revealed key factors influencing mathematical flexibility, defined as the capacity to understand, generate, and apply a variety of strategies in solving mathematical problems. However, there is currently a lack of an integrated theoretical framework to systematically consolidate various sources of individual differences in…

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…

The Self-Determination Theory posits that an autonomy-supportive motivating style can benefit students in numerous educationally important ways. The paradox and educational concern is that although teachers are cognizant that students can reap numerous benefits when they support their students' autonomy, many of them are nevertheless unable to do…

This article reports on a novel approach to integrate artificial intelligence into a digital collaborative platform embedded with a problem-based mathematics curriculum. Using design research methodologies, we developed a new "proof-of-concept" design feature called "student proportional reasoning arrows (SPArrows)." SPArrows…

A Q-sort involves sorting a set of statements about a topic onto a grid that represents a continuum. It is one structured yet flexible method that teachers can use to foster critical reflection. This article provides a ready-to-use Q-sort activity designed to support individual reflection on beliefs about equitable mathematics instruction. By…

Environmental education is a dynamic process that empowers individuals, communities, and organizations with the knowledge and skills needed to understand, investigate, and make informed decisions about environmental issues. This article describes how one teacher used ants marching into her kindergarten classroom as an opportunity to establish a…

This paper explores the potential of large language models to accurately extract and translate equations from typed student responses into a standard format. This is a useful task as standardized equations can be graded reliably using a computer algebra system or a satisfiability modulo theories solver. Therefore physics instructors interested in…

Augmented reality (AR) continues to demonstrate its impact on education. Despite the increasing interest in AR as a pedagogical tool and the evidence gathered from literature reviews, there has been limited information on how AR may improve the mathematics achievement of K-12 students. This study aims to synthesize the effects of AR use on the…

This mixed methods study aimed to develop a test assessing middle school students' predominantly deep procedural knowledge of angles and polygons and then to determine its validity based on test content (expert evaluation and developmental field testing) and internal structure (dimensionality and internal consistency). "Deep procedural…

Mathematics is crucial in science, technology, and engineering career paths for all individuals, including Students with Visual Impairments. This study examined teachers' perceptions of experiences and challenges that primary and secondary school Students with Visual Impairments faced concerning the learning of mathematics in Botswana. A…

Recent research suggests that using additional teachers to provide small-group instruction or tutoring substantially improves student learning. However, treatment effects on test scores can fade over time, and less is known about the lasting effects of such interventions. We leverage data from a Norwegian large-scale field experiment to examine…

This study examined the impact of two questionnaire characteristics, scale position and questionnaire length, on the prevalence of random responders in the TIMSS 2015 eighth-grade student questionnaire. While there was no support for an absolute effect of questionnaire length, we did find a positive effect for scale position, with an increase of…

In this article, we extend Liao's test for across-group comparisons of the fixed effects from the generalized linear model to the fixed and random effects of the generalized linear mixed model (GLMM). Using as our basis the Wald statistic, we developed an asymptotic test statistic for across-group comparisons of these effects. The test can be…

Artificial intelligence (AI) can enhance teachers' capabilities by sharing control over different parts of learning activities. This is especially true for complex learning activities, such as dynamic learning transitions where students move between individual and collaborative learning in un-planned ways, as the need arises. Yet, few initiatives…