The shift towards active pedagogies in higher education that emphasize students' engagement in their own learning in and outside of the classroom has increased the ubiquity of online learning and assessment platforms for engaging students in such learning. Online learning requires self-regulated learning, which is a cyclical and temporal process…

This paper analyses learners' common errors in simplifying algebraic problems. 102 Grade 10 learners from three rural schools in South Africa participated in the study. Following a quantitative approach, content analysis of learners' responses to algebraic tests revealed that while learners commit several errors in algebraic problems, encoding and…

Embodied forms of representation like gesture have been shown to play an important role in how learners conceptualize phenomena in physics; however, we know little about how students use gesture to capture the idea of "instantaneity." Drawing on multimodal microanalysis of interaction, we examine how undergraduate physics students use…

Cognitive presence is essential for deep and meaningful learning, yet developing it poses challenges. Theoretically, peer-led teaching presence can enhance cognitive presence, but research on this facilitation is limited. This study used behavioural sequence analysis to investigate how peer-led teaching presence promotes cognitive presence…

There is wide agreement that regulations are an important part of students' learning. However, there is lack of theorizing and methods that look at the intricate relations between regulations and the mathematical content of learning. In this study, our goal is to develop a theoretical and methodological lens for looking at regulations in students'…

The composite instructional design PS-I combines an initial problem-solving phase (PS) with a subsequent explicit instruction phase (I). PS-I has proven effective for conceptual learning in comparison to instructional designs with the reverse order (I-PS), especially when the explicit instruction phase productively builds on students' erroneous or…

A number of memorable tasks have been revealed through collegial exchanges with underlying philosophical, theoretical, and potentially nefarious motivations. Such was the origin of the probability problem, and the various differences of opinion, presented herein. This article recounts how, together, we explored and disputed the probabilities…

It is crucial for engineers to anticipate the socio-ethical impacts of emerging technologies. Such acts of anticipation are thoroughly normative and should be cultivated in engineering ethics education. In this paper we ask: 'how do we anticipate the socio-ethical implications of emerging technologies responsibly?' And 'how can such responsible…

This study aimed to examine the application of a realist hands-on learning approach and its contributions to optimizing the solid geometry conceptual understanding and problem-solving skills of students. It employed a non-equivalent pre-/post-test quasi-experimental research design. The results showed that there was a statistically significant…

Background: To prepare engineers who can address complex sociotechnical problems, a deep understanding of engineers' complex problem-solving approaches is needed. Purpose/Hypothesis: This study operationalizes comprehensive systems thinking as an analysis framework that attends to aspects of engineering work and relationships among those aspects.…

Background: Real-world engineering problems are ill-defined and complex, and solving them may arouse negative epistemic affect (feelings experienced within problem-solving). These feelings fall into sequenced patterns (affective pathways). Over time, these patterns can alter students' attitudes toward engineering. Meta-affect (affect or cognition…

This study contributes to Action, Process, Object, Schema (APOS) theory research by showing two approaches used by advanced mathematics students to construct relations between higher-order derivatives to solve complex problems. We show evidence of students' ability to perform Actions on their graphing derivative Schema, that is, of its…

In terms of instructional sequencing and cognitive load research, it remains unclear what effect different instructional sequences have on cognitive load and how to use problem-solving support within instructional sequences to reduce cognitive load. The current study examines how instructional sequencing and problem-solving support interact with…

Productive peer interactions are often characterized by productive peer talk moves. This study aims to synthesize an empirical list of productive peer talk moves from existing studies, quantify the efficacy of talk moves in promoting peer interaction and collaboration outcomes, and understand the preconditions of talk moves benefits in authentic…

This study explores students' initial engagement with ill-structured problems before and after the introduction of engineering problem typology as a framework for problem engagement and reflection. Using problem discussions, debrief interviews, and qualitative analysis of written artifacts, we considered observed changes to students' initial…