Based on expectancy-value theory, this study adopted a person-centred approach to explore the heterogeneous profiles of secondary German and Taiwanese students' mathematical modelling task values, and examined the differences in their mathematical modelling performance, controlling for the variable of intra-mathematical knowledge among the…

The aim of the study was to understand preservice mathematics teachers' improvement of their knowledge of mathematical modeling and knowledge for teaching modeling postintervention. A total of 57 preservice mathematics teachers voluntarily participated in the study, which lasted for a period of five weeks. Data sources included three separate…

This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

Worked examples support learning. However, if they introduce easy-to-confuse concepts or principles, specific ways of providing worked examples may influence their effectiveness. Multiple worked examples can be introduced blocked (i.e., several for the same principle) or interleaved (i.e., switching between principles), and can be sequentially or…

Mathematical modeling has been positioned at the forefront of many educational levels globally because modeling reinforces purposeful problem-solving skills, connects mathematics to the real-world, and makes mathematics more meaningful and relevant. This article investigated K-12 practicing teachers' knowledge and attitudes toward mathematical…

Mathematization is critical in providing students with challenges for solving modelling tasks. Inadequate assumptions in a modelling task lead to an inadequate situational model, and to an inadequate mathematical model for the problem situation. However, the role of assumptions in solving modelling problems has been investigated only rarely. In…

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…

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…

Excluded-volume interactions are ubiquitous to modeling the average size of polymers in solution. This paper shows how simulations can be used by students to explore the emergence of mathematical scaling relations from excluded-volume interactions. Simulations provide robust visual representations of the system, and can be used to investigate a…

There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…

This article reports on how a pedagogical entrepreneurship approach combined with fundamental elements of mathematical modelling may be used to strengthen students' development of mathematical literacy in upper primary school. This is done first through a review of the relationship between pedagogical entrepreneurship in mathematics, mathematical…

Proposing scientific descriptions is critical for individuals to cope with daily problems and acquire essential information. Nonetheless, few classes have enhanced students' ability to describe facts of scientific phenomena. Thus, using a tool of technology-based laboratory, this research examined whether students' scientific descriptions and…

As climate change becomes an increasingly important topic for science educators, it is critical to learn how teachers may be able to increase students' knowledge about it. We conducted two consecutive quasi-experimental studies that investigated the role of interest in predicting middle school students' knowledge gains from a unit about how…

This study shows how, in the initial training of mathematics teachers, it is possible to promote processes of abstraction and mathematisation through modelling a real situation with the support of auxiliary material to mediate understanding. By adapting elements of the theoretical and methodological framework called Abstraction in Context (AiC),…

The COVID-19 pandemic has resulted in unprecedented amounts of information communicated to the public relating to STEM. The pandemic can be seen as a 'wicked problem' defined by high complexity, uncertainty and contested social values requiring a transdisciplinary approach formulating social policy. This article argues that a 'Critical STEM…