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 designing an intelligent tutoring system, a core area of the application of AI in education, tips from the system or virtual tutors are crucial in helping students solve difficult questions in disciplines like mathematics. Traditionally, the manual design of general tips by teachers is time-consuming and error-prone. Generative AI, like…

Considering preservice teachers' reflections on their best academic learning experiences, the purpose of this research was to use a problem-solving lens to analyze how preservice teachers were first identifying an educational problem and then suggesting solutions where educational technology could be meaningfully implemented. This research used an…

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…

"Research Findings": This study aims to explore the optimal roles, pressing challenges, and future developments of ChatGPT in early childhood education (ECE) by interviewing six expert professors from China and the United States. A content analysis approach that combined inductive and deductive coding was employed to analyze the…

This edited volume gathers contributions from international scholars focusing on social media's role and impact on mathematics education. Social media's integration into pedagogical strategies (from social networking sites to video-sharing platforms) offers the opportunity to enhance learning by fostering connectivity and engagement among…

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,…

The purpose of this study was to explore native-language teachers' efforts in technology-rich classrooms. The advancement of classroom technology and educational policies in Taiwan prompted native-language teachers to leverage technology that improved learning and instruction in native languages. Fifteen senior teachers participated in in-depth…

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…

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…

With the increasing use of robotics in education, this study examined the influence of educational robotics on K-12 students' creativity and problem-solving skills by using Meta-analysis on 20 typical studies published from 2011 to 2021. Subsequent results exhibited five major points: 1) The overall effect of educational robotics was at 0.821; 2)…

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…