Background: According to the self-enhancement perspective, self-efficacy and self-concept are shaped by prior achievement and have a crucial impact on future development. Their role in improving performance on challenging tasks, such as mathematical modelling (i.e., solving realistic problems mathematically), has barely been studied. Aims: We…

Though there is an extensive research literature on understanding and assessing individual modeling competencies, less attention has been given to characterizing the social context of the classroom in which modeling occurs. Yet a classroom's culture of modeling--its negotiated system of beliefs and values about the nature of modeling and what…

This article presents a synthesis of existing literature on ethnomodeling and the ways in which it extends mathematical modeling research in mathematics teacher education. We also call on the field to consider ways to connect and value culture and content in teaching mathematics. There have been increasing calls for integration of a culturally…

Several studies related to mathematics understanding found that many undergraduate students lack some basic knowledge of algebra. They memorized only a few topics, formulas, and algorithms without understanding them conceptually, even though they could manipulate those limited number of points correctly or incorrectly. In comparison, most…

Mathematical connections are essential to emphasize in the learning process, to make students see mathematics as useful, relevant, integrated, and able to solve various mathematical problems. This study was conducted to analyze the comparison of achievement and improvement of students' abilities on mathematical connections based on learning model…

Recursive reasoning is a powerful tool used extensively in problem solving. For us, recursive reasoning includes iteration, sequences, difference equations, discrete dynamical systems, pattern identification, and mathematical induction; all of these can represent how things change, but in discrete jumps. Given the school mathematics curriculum's…

The context for this paper is the "Synthetic Training Environment Experiential Learning -- Readiness" (STEEL-R) project [1], which aims to estimate individual and team competence using data collected from synthetic, semi-synthetic, and live scenario-based training exercises. In STEEL-R, the "Generalized Intelligent Framework for…

Mathematical models that are constructed through modeling activities should be appropriate for the situation at hand. In this study, we seek to monitor the modeling routes of different learners as well as their modeling sub-competencies in order to learn how these are related to the semiotic characteristics of the resulting mathematical models.…

Enzyme-linked immunosorbent assays (ELISAs) are used widely in biotechnology, pharmaceutical, and clinical medicine labs. At the same time, they appear to be underrepresented in chemistry and biochemistry curricula, even though their sensitivity, selectivity, and ease of use would argue for their widespread use. We describe here an online ELISA…

Mathematical modelling has garnered national and international interest due to its importance. Mathematical modelling can develop students' mathematical understandings, teamwork and communication practices. The ability for teachers to select appropriate mathematical modelling tasks is important to ensure the benefits listed for students are…

The teaching and learning of mathematical modelling involve engagement in real-world situations and the mathematization of such situations. In this study, the communication between teachers and students in 13 lessons (0.75-1.5 hours each) in two Norwegian upper secondary classrooms is observed and recorded to explore how modelling is communicated…

Media bias is an important and underexplored feature of the economics of information. In this article, the author outlines two models that can be used to illustrate media bias in a policy-oriented undergraduate economics or public policy course. The models rely on relatively simple and intuitive underlying assumptions and draw on related empirical…

Mathematical modeling is crucial in the field of education, particularly in mathematics, as it enhances students' mathematical skills and prepares them for solving real-world problems. The study focuses on the challenges of teaching mathematical modeling, specifically in the Malaysian education system. We utilized a case study approach, involving…

Project-based learning (PBL) empowers students to become active learners. In this work computational reverse osmosis (RO) projects developed from industrial case studies and research were implemented in several chemical engineering courses to enhance student learning experience. Students not only gained knowledge in water treatment, but also…

Advances in graphing technologies and learning sciences pedagogy have the potential to equitably support students when exploring complex systems depicting dynamic relationships across multiple disciplinary topics in Science, Technology, Engineering, and Mathematics (STEM). We report on the cumulative impact of science units designed in a Research…