Mathematical modelling is acknowledged to be one of the major dimensions of mathematical competence, and well-designed modelling activities can provide students with the opportunity to use mathematical concepts and procedures in a meaningful way. Additionally, modelling activities are regarded as suitable contexts for enabling students to use…

The main goal of this research is to study the effect of modelling with system dynamics on learning. Specifically, this research studies if using inductive or deductive learning methods applied during modelling with system dynamics has any effect on problem solving skills of students. This research has three other goals: Firstly, the successful…

Students' inadequate 21st century skills are the outcome of teacher-centered learning activities. Previous studies have shown that collaborative inquiry learning improved their generic skills. This experimental research investigated the effect of Local Wisdom-Based ELSII Learning Model (LWB-ELSII) on students' problem-solving skills (PSS) and…

We propose a dyadic Item Response Theory (dIRT) model for measuring interactions of pairs of individuals when the responses to items represent the actions (or behaviors, perceptions, etc.) of each individual (actor) made within the context of a dyad formed with another individual (partner). Examples of its use include the assessment of…

This Article aims to share the results of a project that was developed with 80 students from Technical High School of Professional and Technological Education (PTE) at an institute located in the northeast of Brazil. The students discussed the global overview of fuel production and use, and how the introduction of green hydrogen into the market…

Here, we present an interdisciplinary educational project intended for high school chemistry that is focused on the establishment of a mathematical model to describe the relationship between conductivity and concentration, while linking chemistry to mathematics with the help of computer software. The project was designed to help high school…

Jim Greer and his colleagues argued that student modelling is essential to provide adaptive instruction in tutoring systems and showed that effective modelling is possible, despite being enormously challenging. Student modelling plays a prominent role in many intelligent tutoring systems (ITSs) that address problem-solving domains. However,…

The design of solar power plants and the operating principles are learned by engineering students during the last academic year. Typically, this subject is taught using the traditional methodology based on lectures where students are not considered as an active player of the class. The aim of this experience was to implement innovative…

The strategy choice model (SCM) is a highly influential theory of human problem-solving. One strength of this theory is the allowance for both item and person variance to contribute to problem-solving outcomes, but this central tenet of the model has not been empirically tested. Explanatory item response theory (EIRT) provides an ideal approach to…

The ability to think critically and mathematically is strongly needed so that the students are able to face the challenges of 4.0 industrial revolution. By thinking critically, they are expected to be more adaptive in finding solutions to each problem. This study aims to identify the students' mathematical critical thinking skills in solving…

Solving reality-based tasks is an important goal in mathematics instruction and is anchored in education standards determined by mathematical modeling skills. These tasks demand a serious examination of the real-world as well as text comprehension to successfully solve them. Therefore, this study empirically reconstructed the comprehension process…

This article describes the five stages of the design thinking model used to engage students in a creative-thinking process to solve assessment barriers.

This study designs and implements interdisciplinary STEM instruction by adopting modelling-based physics programming, and explores its effectiveness on learning. A quasi-experimental study was conducted. The experimental group wrote programs to solve physics problems by following the modelling process, while the control group solved general…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

Self-regulated learning (SRL) is a critical component of mathematics problem-solving. Students skilled in SRL are more likely to effectively set goals, search for information, and direct their attention and cognitive process so that they align their efforts with their objectives. An influential framework for SRL, the SMART model (Winne, 2017),…