Combinatorial proof is an important topic both for combinatorics education and proof education researchers, but relatively little has been studied about the teaching and learning of combinatorial proof. In this paper, we focus on one specific phenomenon that emerged during interviews with mathematicians and students who were experienced provers as…

This paper discusses methodological challenges in researching practice. The primary challenge discussed arises from the view that practice is inextricable from its performance, and that performance is embedded in social relations, material infrastructures and historical context. The paper argues for a philosophical hermeneutics approach that works…

The aim of this study is to investigate Danish pre-service teachers' (PSTs) mathematical and didactical knowledge of operations with rational numbers. This knowledge is studied through their collaborative activities to certain tasks related to the teaching of operations with rational numbers. An explicit model of the teachers' mathematical and…

The 21st century learning demanded students to master the 4C competencies: critical thinking and problem-solving, communication, collaboration, and creativity and innovation, with problem-solving skills significantly influencing students' cognitive learning outcomes. This study utilized the Flipped Classroom instructional model, assisted by the…

Background: This study posits that scaffolded team-based computational modeling and simulation projects can support model-based learning that can result in evidence of representational competence and regulatory skills. The study involved 116 students from a second-year thermodynamics undergraduate course organized into 24 teams, who worked on…

The objectives of this research were (1) to assess the suitability and feasibility of participatory approaches for the prevention and solution of drug problems of schools under Sisaket Provincial Administrative Organizations and (2) to create a consensus proposing a leadership development model that influences driving effectiveness, management and…

The ability to think critically in the 21st century is a skill that must be possessed by every individual. This study, uses a UbD-based problem-based learning model with a conventional learning model to see which learning model has more influence on the critical thinking ability of grade IV students in science subjects. The UbD approach was chosen…

"Creating Equity and Access for Gifted Learners" provides an overview of how and why to implement the ExCEL Problem-based Learning Instruction Model as a change initiative in classrooms, and the impact that this model has had on gifted programs. The product of evidence from two federally-funded Jacob K. Javits grants, The ExCEL Model is…

This article elaborates a new direction for studying the construction of novel strategies that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving. The nature of the relationship between conceptual and procedural knowledge has been persistently debated…

This study examined the effects of worked examples with different explanation types and novices' motivation on cognitive load, and how this subsequently influenced their programming problem-solving performance. Given the study's emphasis on both instructional approaches and learner motivation, the Cognitive Theory of Multimedia Learning served as…

Coding and digital game design activities have been used in recent years to contribute to students' academic achievement and twenty-first century skills. This study aimed to investigate the effect of the 5E model enriched with coding and digital game design activities (5EECD) on gifted students' academic achievement and problem-solving skills. A…

This research aimed to develop and evaluate a creative leadership program for secondary school teachers under Provincial Administrative Organizations in Northeastern Thailand. Employing a comprehensive research and development methodology, the study proceeded through three sequential phases. In Phase 1, we analyzed the components of creative…

When students are solving problems they often turn to examples when they need assistance. Examples are helpful because they illustrate how a problem can be solved. However, when examples are very similar to the problems, students default to copying the example solutions, which hinders learning. To address this, prior work has investigated the…

In early childhood education, the integration of science, technology, engineering, arts, and mathematics (STEAM) are advocated as contemporary educational goals. However, integration of STEAM is not defined in the early childhood context. We claim to 'integrate' and 'devise integration pedagogies', but there is still no clear-cut message on what…

Computational thinking (CT) is a set of cognitive skills that every child should acquire. K-12 classrooms are expected to provide students opportunities (tasks) to think computationally. We introduce a CT competency assessment for middle school students. The assessment design process started by establishing a cognitive model of CT domain mastery,…