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Mehmet Pakdemirli – International Journal of Mathematical Education in Science and Technology, 2025
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…
Descriptors: Mathematical Models, Calculus, Motion, College Mathematics
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Aeryn L. VanDerSlik; Emily E. Scott; Mary Pat Wenderoth; Zachary A. Kam; Jasmine D. Parker; Maya B. Shah; Joseph Vieregge; Jennifer H. Doherty – Advances in Physiology Education, 2025
Diffusion is a critical component of the Physiology Core Concept of flow down gradients and is fundamental to understanding how ions, gases, or signaling molecules travel short distances in the body. When asked about diffusion, students often reason successfully using the "things move from areas of high to low concentration" heuristic…
Descriptors: Thinking Skills, Physiology, Scientific Concepts, Motion