Creativity has been identified as a key characteristic that allows students to adapt smoothly to rapid societal and economic changes in the real world. However, Chinese students appear to perform less well in mathematical problem-solving and problem-posing abilities, which are strongly connected to mathematical creativity. Mathematical modelling…

There is growing awareness of the need for mathematics and computing to quantitatively understand the complex dynamics and feedbacks in the life sciences. Although several institutions and research groups are conducting pioneering multidisciplinary research, communication and education across fields remain a bottleneck. The opportunity is ripe for…

This study addresses three aspects of the attitude towards mathematics: usefulness, interest, and recognition of the social roles of mathematics. Mathematical modeling activities were developed and conducted with engineering students. We analyzed how the attitude towards mathematics is manifested in this context and what contribution can be to a…

Different types of in-depth literature reviews were conducted to identify, evaluate or summarize the findings, common themes, trends, gaps, and used methods in mathematics education research. In recent decades, technological advances have enabled us to evaluate mathematics education literature in a more reliable, powerful, and objective manner.…

This paper presents an application of the Kalman filter in signal processing in instrumentation systems when the conditions of the environment generate a large amount of interference for the acquisition of signals from measurement systems. The unwanted interferences make important use of the instrumentation system resources and do not represent…

The year 2020 saw the outbreak of the COVID-19 pandemic that not only had wide-reaching social and economic consequences but also put healthcare systems under stress. Strategies for coping with the virus depended heavily on the interpretation of data. This article uses information from a UK upper tier local authority to examine how closely the…

This article reports on third-year mathematics students' competency and sub-competency development through providing intentional support in the learning of mathematical modelling. Students often experience modelling as difficult, and obstructions in the modelling process can lead to a dead end. Literature reports confirm that the modelling task is…

While most of the outcomes of the current COVID-19 pandemic are not good, occasionally one can identify a positive outcome from even the worst situations. The Coronavirus outbreak has provided a special opportunity to get a pulse on how well the society understands science and mathematics processes. Social media amplifies the voice of citizens…

Recently a teacher friend enquired about the S-I-R equations for disease spread, and what follows was stimulated by that exchange. COVID-19 provides an opportunity to put mathematical flesh on verbal bones such as "self-isolation", "lockdown", "herd immunity", "flattening the curve", "closed…

This article reports on a combined quantitative and in-depth qualitative study of 315 Danish upper secondary (grades 10-12) mathematics students' answers to six modelling tasks that place emphasis on the early phases of the so-called modelling cycle. In order to focus attention on the extra-mathematical aspects of modelling, the technical…

Models are essential in science and therefore in scientific literacy. Therefore, pupils need to attain competency in the appropriate use of models. This so-called model--methodical competence distinguishes between model competence (the conceptual part) and modelling competence (the procedural part), wherefrom a definition follows a general…

Mathematics exists as rooted in human ideas, ways, and techniques to respond to their environments. Along with its development, mathematics has been taught through formal education or schooling in the flat- not flexible ways and far from students' social and cultural lives. Indonesia is rich with culture, including the Special Region of Yogyakarta…

This research presents the results of development and validation of the Cyclical Self-Regulated Learning (SRL) Simulation Model, a model of student cognitive and metacognitive experiences learning mathematics within an intelligent tutoring system (ITS). Patterned after Zimmerman and Moylan's (2009) Cyclical SRL Model, the Simulation Model depicts…

Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complicated system with highly simplified or toy models. In introductory physics classes, we tend to use them without comment or motivation. Some students infer that physics is irrelevant to their understanding of…

This study was conducted during two educational technology courses in spring term of 2016-2017 academic years. The participants of the study were pre-service teachers who were in mathematics teaching program in a university located at the west part of Turkey. Pre-service teachers were asked to solve a complex problem that requires mathematical…