Knowledge tracing (KT) models predict how students will perform on future interactions, given a sequence of prior responses. Modern approaches to KT leverage "deep learning" techniques to produce more accurate predictions, potentially making personalized learning paths more efficacious for learners. Many papers on the topic of KT focus…

Collaborative Problem Solving (CPS) is a vital 21st-century skill that integrates social and cognitive processes to achieve shared goals. Despite its importance, understanding how communication dynamics shape individual learning outcomes in CPS tasks remains a challenge, particularly in virtual settings. To address this gap, this study analyzes…

The spread of Artificial Intelligence (AI) has been recently generating worries among teachers and educators about the validity of assessment when students make use of AI tools to solve tasks. To tackle this issue, we propose mathematical problem solving activities to be carried out with the aid of ChatGPT, showing how problem solving and critical…

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…

Perseverance is critical for students' achievement and may be particularly important after COVID-19. This paper includes analyses of teacher and principal interviews and student educational technology usage data to examine students' perseverance during math problem-solving across three cohorts of students during and after COVID-19. Data were…

The gold-standard evaluation of an educational technology product is a randomized study comparing students randomized to use a computer-based learning platform (CBLP) to students assigned to a "business as usual" condition, such as pencil-and-paper work, and estimating average treatment effects. However, not everyone uses the same CBLP…

Collaborative problem-solving (CPS) is a vital 21st-century skill. Ill-structured problems demand effective shared regulation from teams to enhance CPS success. While socially shared metacognitive regulation (SSMR) is crucial in CPS, a deeper understanding of its nature is needed. This study investigates the detailed operationalization of SSMR in…

Research on pre-service teachers' discussion practices has focused on decompositions of practice into subskills, while acknowledging the importance of the role of context, identity, and relationships between interactive moves. We focused on 66 elementary preservice teachers' (PSTs') framing-launching moves in discussions after problem-solving in a…

This study investigates the relationship between students' problem-solving skills in solving mathematical problems and asynchronous collaboration in digital learning environments. The research focuses on the Digital Math Training (DMT) project, designed by the DELTA research group at the University of Turin, which aims to enhance students' digital…

Past research has yielded ample knowledge regarding the design of analytics-based tools for teachers and has found beneficial effects of several tools on teaching and learning. Yet there is relatively little knowledge regarding the design of tools that support teachers when a class of students uses AI-based tutoring software for self-paced…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

From mathematics education, a great variety of studies have focused on analyzing the presence of digital technology from different points of view. Those who work with proof and argumentation have resisted presenting results with a technological component, due to the idea of formality associated with those terms, which has increased the existing…

This case study aims to describe the learning characteristics of a child and evaluate his preferences for using physical manipulatives (PM) and virtual manipulatives (VM) to solve fraction problems. The participant in this study was a fourth-grade child. The child was given similar problems to solve using PM and VM. Data sources were observations…

PISA studies have concluded that while the level of knowledge, amongst students in Estonia, is good the level of higher order thinking skills is lower, especially in natural sciences, which is accompanied by lower study motivation. In order to study the level of higher order thinking skills and what influences those skills, an action research was…

This paper reports on two teachers' perceptions as part of a project examining the learning that took place when 9 and 10-year-old children used "ScratchMaths" in their programme. The project used design-based methodology, which incorporated video-recorded classroom excerpts, teacher interviews, and teacher analysis and review of their…