Jacques Ellul, a 20th century French academic, is best known for his writing on "technique," understood as both individual means to ends and an all-encompassing system that prioritizes efficient solutions to problems. While Ellul's terminology is not necessarily familiar in contemporary educational technology research, it represents…

A retrospective review of 50 years of research and development experience showing the connectedness of the author's theoretical ideas to practical application. An effort to show designers how over the span of a career new ideas begin as work-related insights and discoveries that by problem solving flow together to create a unique personal view of…

As computational thinking (CT) is new to teachers, they need support on how CT integration will work. This study examines the use of a hypothetical learning trajectory (HLT) to support teachers in integrating computational thinking into mathematics lessons utilizing GeoGebra. By employing the educational design research (EDR) methodology, the…

Every teacher aspires to create the ideal lesson! You want to convey the knowledge and skills in the best possible way while also keeping learners motivated. In our design case, we focus on the complex skill of collaborative problem-solving (CPS). In today's complex world, the acquisition of CPS competencies is considered an important learning…

In computer-based dialogue learning, students' willingness to communicate and ability to interact is one of the important factors. Few studies have examined the testing of mobile metaverse teaching material systems built for interactive communication and learning courses. This study developed and designed course content for a virtual classroom,…

Programming online judges (POJs) have been increasingly used in CS1 classes, as they allow students to practice and get quick feedback. For instructors, it is a useful tool for creating assignments and exams. However, selecting problems in POJs is time consuming. First, problems are generally not organized based on topics covered in the CS1…

Educational robotics (ER) has emerged as a novel educational tool that enables students to improve their thinking skills. The study aims to compare the effect of a structured versus an unstructured ER curriculum on students' group metacognition during collaborative problem-solving with ER. The authors' hypothesis is that an unstructured ER…

In this study, the effect of using on-screen calculators on eighth grade students' performance on two TIMSS 2019 Problem Solving and Inquiry Tasks items considered as examples of technology-enhanced items administered on computers was examined. For this purpose, three logistic regression models were run where the dependent variables were giving a…

As digital technologies become a commonplace in mathematics classrooms, they transform the ways students and teachers interact with mathematics. Students learn to use a technological tool for solving mathematical tasks through a process known as instrumental genesis. Teachers' support for this process is known as instrumental orchestration. In…

In this paper, we introduce novel instructional approaches to engage students in using modelling with data to motivate and teach differential equations. Specifically, we introduce a pedagogical framework that will execute instructional modules to teach different solution techniques for differential equations through repositories and notebook…

Background/purpose: The increasing integration of digital technology in education underscores the need for instructional models that support personalized, skill-based, and problem-solving focused learning. While traditional pedagogies often fail to address these needs comprehensively, this study proposes that the Mastery Adaptive Problem-Solving…

An alternating treatments design was used to analyze the effects of concrete and virtual manipulatives on the duration and number of correctly solved linear equations by three middle school students with cognitive disabilities. Participants physically manipulated algebra tiles to solve an equation during the concrete manipulative condition. During…

This investigation explores the relationship between the use of digital pencil and mathematical problem-solving accuracy among 1,530 students with learning disabilities (LD) and 25,400 general education (GE) peers from the 2017 digital National Assessment of Educational Progress mathematics assessment. The term "digital pencil" in this…

Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

Density functional theory (DFT) is indubitably the most popular and among the most successful approaches for approximately solving the many-electron Schro¨dinger equation. The level of understanding on the part of both researchers and students using DFT, however, is lacking, given the availability of black-box software. The present work addresses…