The ability to reason with representations is pivotal for successful learning in Organic Chemistry and is closely linked to representational competence. Given the visual nature of this discipline, this comprises competency in extracting and processing relevant visual information. With regard to the resonance concept, proficiency in identifying…

Contribution: This study uses a qualitative research method to analyze interviews where participants simplified an electric circuit while explaining their thought process. Background: Rearranging circuit diagrams is a fundamental skill in electrical and electronic engineering, yet students can struggle with unfamiliar configurations. Current…

Visual representations, such as diagrams, are known to be valuable tools in problem solving and proof construction. However, previous studies have shown that simply having access to a diagram is not sufficient to improve students' performance on mathematical tasks. Rather, students must actively extract information about the problem scenario from…

Diagrams are ubiquitous in physics, especially in physics education and physics problem solving. Physics problem solvers may generate diagrams to orient to a scenario, to organize information, to directly obtain an answer, or as a tool of communication. In this study, we asked 19 undergraduate and graduate physics majors to answer 18…

We investigate students' eye movements when they solve sequential and simultaneous synthesis physics problems. In sequential synthesis problems, multiple events occur chronologically, whereas in simultaneous synthesis problems, multiple events take place concurrently. We captured students' eye fixations on each problem diagram and recorded their…

This study delved into the structuring of design briefs and investigated the impact of employing visual analogies compared to text analogies. We aimed to contribute to the growing body of research investigating the role of analogies in design problem-solving. To do this, we conducted a controlled experiment at a university with 135 undergraduate…

This theoretical article explores the affordances and challenges of Euler diagrams as tools for supporting undergraduate introduction-to-proof students to make sense of, and reason about, logical implications. To theoretically frame students' meaning making with Euler diagrams, we introduce the notion of logico-spatial linked structuring (or…

A method is adapted for calculating two measures of entropy for gaze transitions to summarize and statistically compare eye-tracking data. A review of related eye-tracking studies sets the context for this approach. We argue that entropy analysis captures rich data that allows for robust statistical comparisons and can be used for more subtle…

Despite the increasing amount of research on students' quantitative reasoning at the secondary level, research on students' quantitative reasoning at the undergraduate level is scarce. The present study used task-based interviews to examine 16 high-performing undergraduate calculus students' quantitative reasoning in the context of solving three…

Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the…

The main purpose of this study was to describe the development and use of a flowchart for preservice chemistry teachers' problem solving on the First Law of Thermodynamics. Twenty-seven undergraduate preservice chemistry teachers attending a Physical Chemistry course participated in this study. The responses of the participants to the set of test…

Students must develop higher order cognitive skills (HOCS) that allow them to think critically and use their learning in novel situations. However, little is known about how including HOCS in teaching and assessment affects students' perception of learning. We combine quantitative and qualitative data to determine whether the inclusion of HOCS and…

In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and…

When organic students are asked to design a total synthesis of a molecule, they are often overwhelmed by the multitude of possible transformations. A decision tree is a useful tool to break complex problems up into simpler steps and scaffold the thinking process that many seasoned chemists take for granted. While many comprehensive resources…

Background: A key aspect of STEM learning is the use of visual representations for problem solving. To successfully use visuals, students need to make sense of how they show concepts and to fluently perceive domain-relevant information in them. Adding support for sense making and perceptual fluency to problem-solving activities enhances students'…