Design problems are often ill-structured as the requirements are broadly defined and have multiple correct solutions. Experts solve such problems by applying various cognitive and metacognitive skills before the formal specifications and solution designs are documented. Novices often need help solving ill-structured design problems as they lack…

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…

This study explores the process itself of comprehension monitoring of worked-out examples in mathematics. A 'reversal error' was embedded in a worked-out example of algebraic nature. Ninety-four engineers in a master's degree program to become secondary teachers of technology were asked to judge the comprehensibility of the statement and the…

Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students' learning when using programming. The present study examines a didactic…

In the evolving landscape of higher education, challenges such as the COVID-19 pandemic have underscored the necessity for innovative teaching methodologies. These challenges have catalyzed the integration of technology into education, particularly in blended learning environments, to bolster self-regulated learning (SRL) and higher-order thinking…

Background: Mindfulness practices enhance executive function skills and academic achievement, spurring interest in integrating mindfulness interventions into education. Embedding mindfulness practice into a digital math game may provide a low-cost, scalable way to induce mindfulness and boost game-based learning, yet this approach remains…

Research exists on mathematical interventions to support elementary students experiencing mathematical difficulties, yet little examines the provision of such interventions within an online learning environment. This study explored the online delivery of the virtual-representational-abstract (VRA) instructional sequence, taught via explicit…

Ill-structured problems, by definition, have multiple paths to a solution and are multifaceted making automated assessment and feedback a difficult challenge. Diagnostic reasoning about medical cases meet the criteria of ill-structured problem solving since there are multiple solution paths. The goal of this study was to develop an adaptive…

At the heart of the National Council of Teachers of Mathematics' (NCTM) "Principles to Actions: Ensuring Mathematical Success for All" (2014) is the development of professional practices such as eliciting and using evidence of student thinking, supporting productive struggle in learning mathematics, and posing purposeful questions. In…

With the increasing attention and surge of empirical research in providing academic instruction for students with autism spectrum disorder (ASD) comes the need to provide teachers with research-supported strategies. Using one evidence-based strategy for teaching mathematics to students with high incidence disabilities, and another for teaching…

A sizable body of literature exists studying various technologies and pedagogical practices for teaching secondary mathematics curriculum to students with a learning disability in mathematics. However, with the growing footprint of computer-based technologies in today's classrooms, some areas of study, such as the use of virtual manipulatives,…

Examining the actions taken during a teaching experiment can provide insight into practices applicable to the use of mathematics technology to assist adult learners. A case study in the form of a teaching experiment was conducted with a small number of subjects to allow for detailed examination of the influence of technology on student thinking.…

Examining the actions taken during a teaching experiment can provide insight into practices applicable to the use of mathematics technology to assist adult learners. A case study in the form of a teaching experiment was conducted with a small number of subjects to allow for detailed examination of the influence of technology on student thinking.…

The aim of this study is to investigate the effects of solution methods and question prompts on generalization and justification of non-routine problem solving for Grade 9 students. The learning activities are based on the context of the frog jumping game. In addition, related computer tools were used to support generalization and justification of…

The study examined how student control over metacognitive prompts in a multimedia environment affects students' ability to solve mathematical problems in immediate comprehension tasks using a multimedia program and a delayed-transfer test. It also examined the effect on metacognitive discourse, mental effort, and engagement with multimedia-based…