Teachers are often perplexed realizing students ending up with different understandings of the same lesson after attending the same class. This study investigates the use of Variation Theory as a pedagogical design tool in improving students' problem-solving skills in trigonometry. This action research utilizing the 'Learning Study' approach was…

Mathematical problem-solving is a core content of primary school education. Therefore, it is necessary to provide all students with a meaningful way of acquisition of problem-solving skills. The objective of this research was to verify the effectiveness of a problem-solving routine based on the Pólya's model and the use of cognitive strategies…

A quantitative literacy course titled "Computational Geology" has been taught at the University of South Florida for over 20 years at the undergraduate level, largely by the same professor. Due to the extended course tenure, a unique opportunity presented itself to qualitatively study what the perceived broader impacts of the course were…

Collaborative drawing is a multimodal approach to examining problems within small groups of individuals when the perspectives of multiple stakeholders should be considered. Collaborative drawing can be useful for helping students visualize and analyze a challenging problem from different world views and provide opportunities to confront, discuss,…

Self-explanation is a process by which learners generate inferences about causal connections or conceptual relationships. A meta-analysis was conducted on research that investigated learning outcomes for participants who received self-explanation prompts while studying or solving problems. Our systematic search of relevant bibliographic databases…

Due to the nature of the teaching environment, students may often develop perceptions of their lecturers' ability as mathematicians, based on the pre-prepared and well-rehearsed content they present. In reality, performing mathematical calculations and solving problems is a difficult skill, and students may compare their own experiences…

Mathematical proficiency is essential to supporting students' success in learning mathematics. It is the ability to use conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition in problem-solving. Cognitive independence shows students' ability to process information. Meanwhile, motivation…

Efficient collaborative learning relies on productive interaction among learners. Previous studies have suggested that group gender composition might affect the group dynamics. While previous studies have generally focused on the learning performance of different gender groups, relatively little effort has been devoted to scrutinising the learning…

Meta-reasoning refers to processes by which people monitor problem-solving activities and regulate effort investment. Solving is hypothesized to begin with an initial Judgment of Solvability (iJOS)--the solver's first impression as to whether the problem is solvable--which guides solving attempts. Meta-reasoning research has largely neglected…

When incorporating the environment into mental processing (cf., "cognitive offloading"), one creates novel cognitive strategies that have the potential to improve task performance. Improved performance can, for example, mean faster problem solving, more accurate solutions, or even higher grades at university. Although cognitive…

Students today routinely conduct research in the digital world to solve problems in daily life and in learning tasks. Although research to date has proposed different models to describe the processes of information problem solving (IPS), little is known about the cognitive patterns demonstrated in the processes, particularly the iterative nature…

This commentary raises and discusses questions based on some of the agreements, disagreements, and themes found in the four chapters on fractions. It considers (1) the importance of tasks that are based in perception and readily available activity in light of an emphasis on problem solving in mathematics education, and the role that theories about…

This paper reports on teachers' perceptions of students learning as part of a project examining teacher practice and student learning when using "ScratchMaths" in their classroom programmes. The project used design-based methodology, incorporating video-recorded classroom excerpts; teacher interviews; and teacher analysis and review of…

Using multimodal data fusion techniques, we built and tested prediction models to track middle-school student distress states during educational gameplay. We collected and analyzed 1,145 data instances, sampled from a total of 31 middle-school students' audio- and video-recorded gameplay sessions. We conducted data wrangling with student gameplay…

Enhanced metacognition among students is imperative for the optimum completion of academic tasks. Therefore, empowering teachers to mediate and teach metacognitive skills is of enormous importance. This study explores the implementation of a workshop designed teacher mediation method by focussing on the patterns of teacher-student interactions and…