This study examines the mathematization approaches and science, engineering, and mathematics (SEM) practices utilized by 18 elementary bilingual pre-service teachers (PSTs) when solving a model-eliciting activity. The activity prompted participants to design ramps with certain constraints. A case study methodology was used to analyze the…

The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…

Mathematical modelling can be described as "[…] the process of translating between the real world and mathematics in both directions" (Blum & Ferri, 2009, p. 45). Both students and teachers often find mathematical modelling challenging. Thus, it is important that future teachers are aware of the challenges their students might…

In the contemporary world of digitalisation, comprehensive digital competence (DC) is and should be an integral part of students' repertoire to guarantee not only academic but also professional success. However, the level and requirements for DC may vary within specific educational contexts, especially in culturally oriented institutions. This…

Background/purpose: The application of learning models is expected to significantly promote the enhancement of students' problem-solving abilities through the development of interactive learning models. This study aims to (1) determine whether the Development of the Component Display Theory (CDT) Model is categorized as valid, practical, and…

Mathematical modelling is an interlinking process between mathematics and real-world problems that can be applied as a means to increase motivation, develop cognitive competencies, and enhance the ability to transfer mathematical knowledge to other areas of science, such as engineering disciplines. This study was designed to investigate the effect…

Contemporary literature in engineering education calls for focused efforts towards revitalizing the curriculum, pedagogic practice, and assessments. Creating multidisciplinary, experiential learning opportunities through a biomimicry module offers authentic and situated experiences for designing sustainable solutions inspired by and in harmony…

Background/purpose: This study aims to analyze students' ability to solve differential calculus problems in relation to their prior mathematical knowledge (PMK). Materials/methods: A qualitative research design method was employed. Participants in this study were 103 third-semester students at the university enrolled in the Differential Calculus…

Problem solving in chemical kinetics poses substantial challenges for university students since it often involves significant use of mathematics as a tool and language, with challenging translations and transitions between chemical phenomena and mathematical representations. In this paper, we present key findings from a study investigating…

This study aimed to explore preservice elementary teachers' use of a bar model as a heuristic for conceptualising relationships between quantities in situations involving ratio and percentages. As a part of a larger project, we focused on two preservice teachers, Maia and Jane, and investigated their solution paths in ratio and percentage problems…

This paper introduces the Heritage-based Education 5.0 model as a transformative approach to decolonize higher education in Zimbabwe and other postcolonial contexts. Departing from the traditional Education 3.0 banking model, which imposes Western-centric knowledge on passive students, this model recognizes and values students' cultural heritage…

This paper contributes to accumulating the knowledge base about prospective elementary school teachers' (PTs') understanding of socio-critical modeling by exploring how PTs make connections to features of mathematical modeling and social justice while posing mathematical problems and reflecting on their problem-posing. We present a conceptual…

Background: In professional contexts, engineers use engineering judgment to create mathematical models. Despite the importance of judgment in professional practice, the development and enactment of engineering judgment by engineering students are understudied. To better prepare students for engineering careers, there is a need to recognize and…

Problem-solving skills are advantageous when resolving complicated and multidimensional challenges. Problem-solving skills can be developed through active learning models that engage students in the learning process. One active learning model is RICOSRE. The main focus of RICOSRE is problem-solving activities in (1) reading; (2) identifying the…