We present a model for roleplaying (RP) for university students that is aimed at fostering the interactions of each learner with the teacher and coursemates, self- and peer-assessment, as well as an awareness and meaningful learning of mathematics. Specific features of our model are its focus on metacognition and individualized learning, based on…

Operations Research (OR) is a branch of applied mathematics that deals with optimization problems arising from different real contexts. The solving process of its problems is based on the construction and resolution of mathematical models, showing the possible connections between mathematics and the real world. Nevertheless, OR is not typically…

Often, straightforward notions from one mathematical domain, when altered even slightly, can become rich and rewarding investigations involving numerous additional domains -- particularly when the investigation includes rigorous proof. This study begins with a familiar high school geometry problem (namely finding the circumcentre of a triangle),…

This study investigated the methods that pre-service teachers employed while finding volume using integration and the reasons why they utilized these methods (problems); the accuracy of their solutions was also analyzed in this study. Case study design, a qualitative research method, was used for this study. 45 sophomore pre-service teachers…

This study aimed to examine the collective mathematical creativity of gifted middle school students within a group through model-eliciting activities. The current study employed the case study design. The participating four gifted students were selected through the purposive sampling technique. To examine the collective creativity of the students…

In recent decades, mathematics education scholarship has promoted a shift from traditional teaching and learning approaches to novel approaches that privilege peer-to-peer collaboration. To mobilize researchers towards advancing scholarship on collaborative learning, scholars need to understand the methodologies available to them for examining…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

The purpose of this literature review is to explicate the facets of mathematical problem solving taxonomies in relation to mathematical modeling. Subsequently, components and learning benefits of mathematical modeling are discussed. Examples of mathematical problems are embedded in the discussion and pragmatic applications to mathematical…

Recently, claims of a 'new and straightforward' method of solution to second-order linear difference equations have appeared in the mathematics education literature from Rivera-Figueroa and Rivera-Rebolledo. The claim of novelty is based on an assumption that 'since the equation is worked in its canonical form', the method within this context must…

This study investigates the utilisation and perceptions of artificial intelligence (AI) applications among mathematics and science teachers in enhancing students' learning experience in mathematics classrooms. One prominent AI application this research seeks to explore, given its recent rise in popularity and usage, is ChatGPT. The study aims to…

Engagement in complex, challenging and multifaceted model-eliciting activities is considered helpful for preparing learners for everyday life. The current study seeks to trace the evolution of modelling routines during two model-eliciting activities. To identify how these routines emerged and evolved, we video-recorded a group of five prospective…

The standard technique for solving equations with radicals is to square both sides of the equation as many times as necessary to eliminate all radicals. Because the procedure violates logical equivalence, it results in extraneous solutions that do not satisfy the original equation, making it necessary to check all solutions against the original…

One of the fundamental topics taught in the microeconomics class is minimizing economic costs. It includes understanding the concept of derivatives and applying them. However, most of the first-year undergraduate students find calculus difficult to understand, which also results in poor knowledge of optimization. We use the method based on the…

Task enrichment is an important teacher competency that can be considered as a special case of problem posing. For that reason, the theoretical framework of this article includes an overview of this topic, complemented with the analysis of inverse problems. The field work of this research was carried out in master courses in the University of…

Many mathematics students require support for learning challenges, such as those invoked by mathematics anxiety. Support for these learning challenges is imparted through personal interactions between the student and the instructor, support staff or their peers. The online delivery of mathematics classes and support meetings reduced the quality of…