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…

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…

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…

This study aims to provide a comprehensive analysis of the implementation of Pancasila learning with the goal of improving critical thinking skills through the application of the six thinking hats model. The research adopts a descriptive approach utilizing qualitative methods. The study was conducted at the Faculty of Engineering, Universitas…

The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

This theoretical article explores the affordances and challenges of Euler diagrams as tools for supporting undergraduate introduction-to-proof students to make sense of, and reason about, logical implications. To theoretically frame students' meaning making with Euler diagrams, we introduce the notion of logico-spatial linked structuring (or…

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…

Purpose: Information problem-solving skills (IPS) are essential for university students, as they are required for various academic tasks. While existing research shows immediate post-test improvements with IPS training, its impact on learning remains uncertain. This study examines the effect of a four-component instructional design (4C/ID)…

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…

Purpose: The purpose of this paper is to discuss the possibilities of transcending individual, organizational and social problems through the prism of presence as suggested by Senge et al. (2012). Design/methodology/approach: The paper is based on the critical review of previous contributions. Findings: The idea of a learning organization seems…

The importance of mathematical problem posing has been acknowledged by many researchers. In this theoretical paper, we want to capture different meanings and aspects of problem posing by approaching it from three different levels: (1) by comparing definitions, (2) by relating it to other constructs, and (3) by referring to research and teaching…

We discuss classroom activity comprised of small groups of students collaboratively tinkering with programs of dynamically manipulable figural models, posing problems regarding their mathematical properties and behaviors. We analyzed data from students' discourse taken from two classroom interventions employing a framework of creative mathematical…

Modelling competencies are currently included in numerous curricula worldwide and are generally accepted as a complex, process-oriented construct. Therefore, effective measurement should include multiple dimensions, like the sub-competencies required throughout the modelling process. Departing from the characteristics of modelling problems as open…