Collaborative problem-solving (CPS) has been widely used in K-12, higher education, and informal learning to enhance the quality of student learning. Understanding the relationship between learning engagement and group performance is crucial for CPS pedagogy and analytics. However, few empirical studies investigated individual engagement role…

The purpose of this intervention study was to develop and evaluate a support model for teachers, designed to assist them in diagnosing students' (age 16-19 years) difficulties and providing feedback to support students' mathematical problem solving. Reporting on an iteration in a design research project, the results showed that the support helped…

Coordinate geometry is an important part of mathematics. It helps students develop thinking, logic, and problem-solving skills. This study was conducted to test the effectiveness of the CORE learning model in promoting students' mathematical problem-solving skills when they learn the method of coordinates in a plane. Consequently, this study used…

In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…

In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…

Mathematical reasoning, a fundamental aspect of human cognition, poses significant challenges for artificial intelligence (AI) systems. Despite recent advancements in natural language processing (NLP) and large language models (LLMs), AI's ability to replicate human-like reasoning, generalization, and efficiency remains an ongoing research…

Knowledge tracing (KT) is a method to evaluate a student's knowledge state (KS) based on their historical problem-solving records by predicting the next answer's binary correctness. Although widely applied to closed-ended questions, it lacks a detailed option tracing (OT) method for assessing multiple-choice questions (MCQs). This paper introduces…

Students with learning disabilities often struggle to explore and apply problem-solving strategies to mathematical word problems, with challenges becoming particularly evident when learning fractions due to their abstract nature and conceptual complexity. This study investigated the effects of Solve It! strategy combined with video modeling on…

This meta-analysis assessed the effectiveness of problem-posing interventions on learners' cognitive learning outcomes. We systematically reviewed 26 quantitative studies published between 2002 and 2024. The results show a large, positive, and significant effect (Hedges's [g-bar] = 0.53) of problem-posing interventions. A series of subgroup…

This research investigated the mathematical content knowledge and attitudes of a cohort of primary education student teachers and is a comparative study to that of Young-Loveridge et al. (2012a, 2012b), which was undertaken 10 years prior. In both studies the student teachers were about to commence their first compulsory mathematics education…

The present study focuses on creating a more pleasurable learning experience for students learning maths. Participants completed two lists of maths problems, a short list of only difficult maths problems and an extended list with both difficult maths problems and moderately difficult maths problems, placed in the beginning, end, or both beginning…

In mathematics education, digital tools have been used to enhance young children's understanding of specific subject matter. In such implementations, the digital tool can replace, amplify or transform 'ordinary' mathematics teaching. In an initial study, systematization and duplication were identified as critical when young children were to solve…

In Realistic Mathematics Education (RME), students should reach formal mathematics knowledge and explore mathematics based on their informal knowledge. The problems chosen in the exploration process should apply mathematics to real-life situations and be suitable for students to explore and create mathematical structures. In the current study, the…

In this paper the authors described the influence of the computer-based environment on students' learning achievement of the multidimensional calculus, in particular double integrals. The research was conducted with the second year students at the University of Kragujevac, Serbia, with two groups of students: the experimental and the control one.…

The purposes of the research were 1) to compare the scores of 7th grade students from deductive learning activities management with games on the topic of "Single Variable Linear Equations" to the standardized criteria of 75%, 2) to compare the achievement of the 7th grade students before and after using the deductive learning activities…