Contribution: The proposed operational model offers a detailed framework for understanding the complexities of design thinking. It helps instructors evaluate each stage, promoting the development of high-quality designs. This model emphasizes the link between the various stages and the final design quality, steering students toward achieving…

Background: Conventional reflective learning methodologies in programming education often lack structured guidance and individualised feedback, limiting their pedagogical effectiveness. Whilst computational thinking (CT) offers a systematic problem-solving framework with decomposition, pattern recognition, abstraction, and algorithm design, its…

Organic reaction mechanisms lie at the heart of developing an understanding of how the molecular world functions. However, many students simply try to memorize mechanisms, or use their knowledge of the reagent and product to create a mechanism that "works". This is not helped by the content-heavy organic chemistry curriculum which…

Over the course of the introductory calculus-based physics course, students are often expected to build conceptual understanding and develop and refine skills in problem solving and qualitative inferential reasoning. Many of the research-based materials developed over the past 30 years by the physics education research community use sequences of…

Students need a robust understanding of the derivative for upper-division mathematics and science courses, including thinking about derivatives as ratios of small changes in multivariable and vector contexts. In "Raising Calculus to the Surface" activities, multivariable calculus students collaboratively discover properties of…

We discuss an investigation of student sensemaking and reasoning in the context of degenerate perturbation theory (DPT) in quantum mechanics. We find that advanced undergraduate and graduate students in quantum physics courses often struggled with expertlike sensemaking and reasoning to solve DPT problems. The sensemaking and reasoning were…

Reform documents advocate for innovative pedagogical strategies to enhance student learning. A key innovation is the integration of science and engineering practices through engineering design (ED)-based physics laboratory tasks, where students tackle engineering design problems by applying physics principles. While this approach has its benefits,…

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

Test writing is a fundamental component of teaching. With increasing pressure to teach larger groups of students, conduct formal assessment of learning outcomes, and offer online and hybrid classes, there is a need for alternatives to constructed response problem-solving test questions. We believe that appropriate use of multiple-choice (MC)…

This case study presents a problem-based learning (PBL) model that guides general education history students to practice and acquire more advanced problem-solving skills -- those found in postformal thinking systems -- and to apply these thinking skills to develop and share solution alternatives both to periodized historical issues and to current…

Undergraduate students tend to struggle with probability in their introductory statistics course. Probability problem solving requires several steps. First, students must make sense of the probability scenario, then determine the appropriate probability rules, and finally, execute the procedures to solve the problem. With no previous exposure to…

This paper challenges the widely held assumption that teaching writing inevitably equips students with the critical thinking skills required to succeed in college and beyond. The paper reviews the literature on the relationship between writing and the development of critical thinking skills, and critically reflects on the author's experiences in…

When solving counting problems, students often struggle with determining what they are trying to count (and thus what problem type they are trying to solve and, ultimately, what formula appropriately applies). There is a need to explore potential interventions to deepen students' understanding of key distinctions between problem types and to…

Researchers have documented many misconceptions students hold about sampling variability. This study takes a different approach--instead of identifying shortcomings, we consider the productive reasoning pieces students construct as they reason about sampling distributions. We interviewed eight undergraduate students newly enrolled in an…

There is growing interest in implementing reform-based lab courses in undergraduate physics that are student driven rather than instructor driven. In these courses, students develop and carry out experiments while simultaneously reasoning about their hypotheses, data collection procedures, collected evidence, and the relevant physics content.…