Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting…

Developing students' creative problem solving skills should be one of the top goals in general education. One teaching model that was developed to increase students' creative problem solving abilities is the Real Engagement in Active Problem Solving (REAPS) model. This model was used as an intervention in classrooms in many studies. However, the…

The recent COVID-19 pandemic has forced many institutes of higher learning across the globe to consider alternative modes of providing quality learning for students. However, developing and implementing safe spaces for academic advisement in online platforms that allow college students to explore their environment in an open and curious manner is…

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved learning outcomes. Most existing approaches for automated student solution analysis and feedback require manually…

The Dijkstra's algorithm is an algorithm that determines the shortest paths needed to go from a starting node to any node in a graph. In this article, the process and results of an activity that included route formation among the provinces in the Aegean region using Dijkstra's algorithm are shared. The activity was designed based on a mathematical…

This article explores a conceptual relationship between learner choice and mathematical sense-making. It argues that when learners can exercise choice in their mathematical activities, mathematical sense-making can be enhanced. The literature around mathematical modelling suggests a link between sense-making and learner choice. A three-tiered…

The use of learner modelling approaches is critical for providing adaptive support in educational computer games, with predictive learner modelling being among the key approaches. While adaptive supports have been shown to improve the effectiveness of educational games, improperly customized support can have negative effects on learning outcomes.…

The lack of sufficiently developed methodological basis before graduation adversely affects the mathematical competency of future experts that are required by the modern economy. The study aims to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of…

This study aims to investigate the usability of the design thinking model for the education of pre-school children and the effects of the activities performed in line with the design thinking model on children. This research was conducted as a case study of 16 teachers working in a private school. Research data were collected through interviews…

Systems thinking is recognized as an essential skill for understanding complex problem solving and decision making associated with many of the contemporary issues faced by individuals and communities. In this article, our goal is to contribute to the knowledge of curriculum and pedagogy of formal systems thinking teaching in higher education. We…

Recent advances in teaching, many of which incorporate elements of active learning, seek to provide students with learning experiences indicative of real-world problem solving. Problem-based learning (PBL) is one form of active learning that challenges students to address open-ended problems. In this work, we evaluate the efficacy of PBL in…

The paper presents the results of an investigation into the virtual teamwork of culturally mixed teams engaged in common projects in international settings. Data was collected from students attending four different universities on four continents (Asia, Europe, North America, and South America). They worked for a semester, in virtual teams, to…

The purpose of this case study was to examine how one high-performing California TK-6th grade public elementary school had committed to the development of 21st century skills. Specifically, this study sought to identify the practices and structures at Utopia Elementary that allowed students of low socio-economic status and students with an…

NP-complete problems such as the traveling salesman problem (TSP) play a prominent role in most advanced undergrad/graduate courses in discrete optimization modeling. Teaching such an important topic from a purely mathematical perspective without discussing specific applications may result in reduced student interest and motivation. The DeLand…

Problem solving is a basic skill needed to function effectively in the working environment. Teachers are no exception to this professional demand. It is of utmost importance for teacher education programs to prepare pre-service teachers with this fundamental competency. The DPACE model is a preliminary effort by two teacher educators to enhance…