The design process is full of judgment, especially around successes and failures that occur through each iteration. Decisions about how to proceed when ideas do not work can be especially challenging for beginning designers. Yet, experts are able to demonstrate more natural regulation of the process. This research focused on the experiences of…

In this study, we propose an 'Approach to Modeling' (AtM) framework for examining how undergraduates approach tasks that require modelling scientific phenomena. Our framework is adapted from Approach to Learning (AtL) theories and consists of three observable behavioural constructs: metacognition, generative thinking, and causal reasoning. Twenty…

Feedback loop reasoning is an essential part of systems thinking, which includes the analysis and description of system behaviour and regulative measures. In feedback loops, every change can simultaneously represent a cause and an effect. Research on reasoning in feedback loops is limited to investigating students' existing mental models. This…

Measures of teacher mathematical knowledge are notoriously difficult to develop (e.g., Orrill et al., 2015). This is in part because of the multidimensional nature of teacher knowledge. As part of two separate projects being undertaken by this research team, we have attempted to write assessments of teacher pedagogical content knowledge (PCK) in…

Recent scholarship in multiliteracies-oriented pedagogies has advocated for greater attention to fostering 'textual thinking', understood as forms of literacy that consider the complexities of semiotic choices made by authors, and their underlying meanings, rhetorical purposes, and cultural contexts. This kind of engagement with texts calls upon…

In this paper, we extend our previous work on challenges teachers face when engaging with proportional reasoning contexts to investigate two contexts that included four problems for middle grades teachers to solve as well as eight student solutions. Analysis included coding for correct solving of the problem as well as making sense of and…

Design within primary and secondary schools has been increasingly emphasized over the past decade. As a response to this increased interest, qualitative research examining students' cognitive processes involved in the practices of design has been on the rise. These studies have commonly employed the concurrent think-aloud research methodology to…

Engaging historiography and interpreting secondary sources represent essential elements of historians' work that have been largely ignored in favor of primary source reading in high school history classrooms in the United States. To understand whether and how students apply their historical reasoning skills to secondary sources, we asked…

Emphasizing stoichiometry appears to be a norm of introductory chemistry courses. In this longitudinal and mixed-methods study, we examined how the emphasis on stoichiometry in assessments of introductory chemistry impacted educational equity and student learning. Using quantitative methods, we identified mole and stoichiometric conversions as two…

The use of causal diagrams to externalize the mental representation of a problem is recognized to be an important step in solving complex problems. In geography education several global challenges taught about in class are highly complex due to the interconnectedness of many causes and consequences. A systems thinking approach might be helpful to…

This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of…

Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…

This case study describes how our research team conducted the qualitative think-aloud approach (or cognitive pretesting) to obtaining cognitive validity evidence for a biology inference-making and reasoning measure for undergraduate students. The main goal of our work was to gather high-quality student think-aloud data of reasoning while they were…

Design is a key element of both the teaching and learning of engineering and technology. However, the process of engineering design has yielded limited research results. This study explored the iterative design process by searching for sequential design thinking patterns. The researchers collected nine concurrent think-aloud protocols from…

Statistical literacy and statistical reasoning are important learning goals that instructors aim to develop in statistics students. However, there is a lack of clarity regarding the relationship among these learning goals and to what extent they overlap. The REasoning and Literacy Instrument (REALI) was designed to concurrently measure statistical…