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…

This article features a fifth grade mathematics exploration planned to facilitate students' productive struggle. The exploration was a catalyst for a team of educators to unpack the teacher's experience when facilitating students' productive struggle. The team called this "teacher productive struggle" and shares about the construct…

Successful computer-based assessments for learning greatly rely on an effective learner modeling approach to analyze learner data and evaluate learner behaviors. In addition to explicit learning performance (i.e., product data), the process data logged by computer-based assessments provide a treasure trove of information about how learners solve…

Aim/Purpose: The teaching of appropriate problem-solving techniques to novice learners in undergraduate software development education is often poorly defined when compared to the delivery of programming techniques. Given the global need for qualified designers of information technology, the purpose of this research is to produce a foundational…

Research shows a positive association between skilled migration and innovation. Related literature however is largely limited to the use of proxies such as patents, and publications. There is also a lack of attention to how innovation is accomplished in practices. This paper addresses these gaps with an examination of the innovative contributions…

Research has shown the importance of helping students, especially those with mild-to-moderate learning disabilities, to offload information during problem-solving. When students can get their thoughts onto paper, number line strategies can help them develop a firm foundation in mathematical problem-solving while understanding the relationships…

Many gifted students fail to be diagnosed, preventing them from receiving an education that is adapted to their characteristics, with activities that challenge their minds. Mathematics is one of the subjects in which they can demonstrate talent, where they often exhibit high skills in solving problems, handling numbers and performing spatial…

Sociotechnical thinking (STT) has recently emerged in response to technical-social dualism. It is defined as the ability to identify, address, and respond to both social and technical dimensions of engineering. As the number of publications on STT increases, so does the need to map the literature. This paper provides a scoping literature review of…

Problem solving and proofs have always played a major role in mathematics. They are, in fact, the heart and soul of the discipline. The using of a number of different proof techniques for one specific problem can display the beauty, and elegance of mathematics. In this paper, we present one specific, interesting geometry problem, and present four…