The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…

The problem-based learning model via cloud technology (PBL model via cloud technology) is a research tool fabricated with the concepts of problem-based learning management, in which students are stimulated and enabled to foresee the problems that will arise. Also, in this learning style, teachers will define the problem situations and encourage…

This study delved into the structuring of design briefs and investigated the impact of employing visual analogies compared to text analogies. We aimed to contribute to the growing body of research investigating the role of analogies in design problem-solving. To do this, we conducted a controlled experiment at a university with 135 undergraduate…

Effective teaching requires enjoyable classroom tasks aimed at promoting students' learning of mathematics meaningfully, and previous research has demonstrated that the use of origami activities in mathematics classrooms can help achieve that goal. In this article, the authors describe their "LOVE MATH" one-straight-cut letter origami…

Solving problems is crucial for learning physics, and not only final solutions but also their derivations are important. Grading these derivations is labor intensive, as it generally involves human evaluation of handwritten work. AI tools have not been an alternative, since even for short answers, they needed specific training for each problem or…

Error analysis is an instructional strategy that can assist teachers to identify learners' areas of weakness in mathematics and that can point to remediation of those errors. This article explores the errors learners exhibit when solving quadratic equations by completing the square using Newman's Error Analysis Model. A research study explored the…

We present an exploratory study of Costa Rican and Spanish students' (11-16-year-olds) competence to compare probabilities in urns and compare ratios in mixture problems. A sample of 704 students in Grades 6 through to Grade 10, 292 from Costa Rica and 412 from Spain, were given one of two forms of a questionnaire with three probability comparison…

Asynchronous online discussions have the potential to facilitate meaningful learning activities, such as ill-structured problem-solving, due to their asynchronicity and connectivity. However, the literature identifies two significant challenges in effectively supporting students' ill-structured problem-solving in these environments --…

Entrepreneurs build successful businesses by taking innovative ideas from research labs to market. This article describes a pedagogical approach and its outcomes in utilizing a multi-stage, multi-course, and multi-semester capstone integrative project to teach entrepreneurial marketing (EM) of early-stage technologies. Herein we explain concepts…

This study aims to advance the development of the mathematical processing skills of students by suggesting the use of digital geography games. This includes an analysis of its contribution to the standard mathematics curriculum in areas such as data processing as well as its contribution to social studies curricula in areas such as map literacy,…

This study aimed to determine the impact of teacher candidates' 21st-century skills on their professional competence by controlling for gender, grade level, and income status. Three hundred eighty teacher candidates from different classes and departments were selected to participate in the study. The data obtained using the Multidimensional…

The purpose of the quantitative ex-post facto study was to determine to what extent a predictive relationship exists between students' reading comprehension skills and mastery of conceptualizing mathematical problems for students in the fifth through eighth grades in a metropolitan area in the northeastern United States. The Federal School…

Digital learning environments are becoming increasingly ubiquitous as a wide range of EdTech products and services enter classrooms and households across the globe. One salient attribute of these environments is their capacity to generate large amounts of data as students interact with the technology. These data logs can help construct a detailed…

The sentiment that creativity is the most important skill needed to solve the problems that we face is repeated by different business and industry leaders around the world (Bronson & Merryman, 2010; NEA, n.d.; Nussbaum et al., 2005; Sammio, 2017). The call for creativity has been amplified in response to the problems and obstacles caused by…

Organizational systems have worked towards optimizing their processes and resources, but our complex education system is struggling to follow suit, toiling with which critical foundations must be in place for schools to run optimally, enabling them to successfully and authentically meet the needs of their students and of the unique communities…