High school teachers often encounter incorrect solutions from students, especially when teaching combinatorics. This study investigates the ability of prospective mathematics teachers to assess the correctness of solutions to combinatorial problems and to falsify incorrect ones. 39 second-year prospective teachers participated in the experiment,…

Preschool teachers' questioning is an important part of the teaching and learning process as questions can drive children's thinking (Nappi 2017). As one of the most common pedagogical tasks in preschool, storytelling has the potential to bring the world to the classroom using imagined or real stories. However, to date, there is limited knowledge…

The interweaving of various societal challenges into polycrisis makes resolving nowadays wicked problems increasingly complex, asking for a transformation of both our design and our education practices in the Global North. In this paper, we describe why and how we are developing and researching a multi-actor educational and learning environment…

This study aimed at developing an imagineering learning process model with logical solutions by using documentary research and relevant experts' viewpoints with regard to the process of Imagineering Learning--problem-based learning (PBL) involving logical and computational thinking. The data were then synthesized in order to find the relationship…

As computational thinking (CT) gains more attention in K-16 education, problem-solving has been more emphasized as a core competency that can be found across various domains. To develop an evaluation framework that reveals students' problem-solving competency, this study examined solutions for the Bebras Computing Challenge which requires students…

The aim of this study was to determine the strategies teachers offer to provide students with experience solving problems in the classroom. A total of 15 secondary school teachers serving in secondary schools were observed through 10 classes each, with no emphasis on the topics covered and grade levels taught. The researcher observing the classes…

The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

The aim of the current research is to know the effect of teaching mathematics using the PDEODE teaching strategy supported by the e-learning environment in developing the conceptual understanding and problem-solving skills among the fourth grade of the primary stage. To achieve the research objectives, the experimental approach was in its…

The ideas of computational thinking (CT) and computer science (CS) are increasingly being integrated into K-12 education. Yet, insufficient attention exists regarding access and exposure of CT and CS for students with disabilities. In this Technology in Action, the authors sought to present an argument--as well as actual activities--for teachers…

In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…

The purposes of the study were to investigate the effectiveness of the K-W-D-L technique on grade 10 students' mathematical problem-solving abilities and to study the students' attitudes toward learning mathematics after participating in learning management designed using the K-W-D-L technique. The participants were 40 grade 10 students in a…

This study examined the effects of shared representational guidance (collaborative textural representative tool vs. collaborative graphical representative tool; TR vs. GR) and prior knowledge (low vs. high; LPK vs. HPK) on different levels of individuals' understanding of specific-domain knowledge after collaborative problem solving (CPS). A total…

This study explores the self-efficacy and problem-solving skills of middle school mathematics students. The students -- 111 9th graders who were studying a unit for the analysis of function -- were given mathematics instruction that was based on either dynamic or static visualization. Findings revealed a positive impact of instruction that was…

The emerging field of social entrepreneurship seeks to address social challenges in environments where traditional public sector institutions are weak or absent. With its explicit focus on solving problems, social entrepreneurship is inherently interdisciplinary. A well-designed undergraduate course in social entrepreneurship can enhance…

In this case study, we investigate one teacher's implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher's practices in whole-class discussions of two counting problems, we study how they advanced a variety of ways of thinking to support the development of a set-oriented way of…