The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

Drawing upon social learning theory, this study discusses entrepreneurial learning by including personal, social, and environmental factors as drivers of entrepreneurial learning and simultaneously exploring their mediator and moderator. Empirical tests are conducted using the data of graduate students in Taiwan. The test results show (1)…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

There is currently little physics education literature examining thinking and learning in graduate education and even less literature characterizing problem solving among physics graduate students despite this being an essential professional skill for physicists. Given reports of discrepancies between physics problem solving in the undergraduate…

Generative Artificial Intelligence (GenAI) is an emerging technology that creates relevant text, images and other content from prompts. Large Language models (LLMs) are the most widely used of these GenAI forms. This technology already has applications in business and education. This paper tests GenAI's ability to apply physics to global problems…

Instructors traditionally lecture on new content before providing practice problems, but learning is often superficial. Exploratory learning before instruction deepens conceptual understanding by giving students a novel activity to explore before direct instruction. We examined how increasing the salience of contrasting cases in exploration versus…

Medical sciences education emphasizes basic science learning as a prerequisite to clinical learning. Studies exploring relationships between achievement in the basic sciences and subsequent achievement in the clinical sciences generally suggest a significant positive relationship. Basic science knowledge and clinical experience are theorized to…

Despite the efforts of instructional design (ID) to solve real-life problems, it remains challenging to adapt and be flexible in such situations. In particular, problems that require simultaneous knowledge of multiple domains and contexts are more challenging to solve because real-life problems do not reconstruct the learned experience. This is…

Undergraduate engineering students are commonly introduced to design in their first year and tackle a more authentic design challenge during senior year, with intervening courses focused on technical problem solving. Along this trajectory, students should acquire skills related to the development of engineering requirements, which are important to…

Background/purpose: This study investigates the probabilistic thinking process in solving probability problems by prospective mathematics teachers with a field-independent cognitive style. The objective is to explore how individuals with this cognitive style approach problem-solving based on the three stages of Polya's framework: understanding the…

This case study used individual interviews to investigate graduate students' sensemaking in upper-level electrostatics in the context of problems that can be efficiently solved for the electric potential using Laplace's equation. Although there are many technical mathematical issues involved in solving Laplace's equation, the focus of this…

This study aimed to elicit middle school pre-service mathematics teachers' personal meanings of realistic mathematics problems. The study presents a portion of a larger design-based study involving teacher training sessions encompassing small-group discussions, writing realistic mathematics problems, and whole-group discussions. The audio records…

The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…

Student engagement in evidence-based argumentation plays a central role in science education. These skills can be developed when identifying organic molecules from the spectroscopic data. Molecular structural analysis fosters deep procedural knowledge, as it involves (i) flexibly applying a set of procedures to extract information from spectra,…

This research aims to compare creative problem-solving skills and study the creative problem-solving process of learners before and after playing Go Game during activities outside the classroom. The sample group was 21 undergraduate students from the Faculty of Humanities and Social Sciences, Phetchaburi Rajabhat University who registered in the…