Using math in physics -- 4. Toy models
arXiv:2011.12700 · doi:10.1119/5.0025840
Abstract
Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complex system with highly simplified or toy models. In introductory physics classes, we tend to use them without comment or motivation. Some students infer that physics is irrelevant to their understanding of the real world and are discouraged from making the cognitive blend of physics concepts with math symbology essential for making sense of physics. In this paper, I discuss the often hidden barriers that make it difficult for our students to accept and understand the value of toy models, and suggest instructional approaches that can help.
arXiv comment6 pages, 5 figures
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- Using math in physics -- 1. Dimensional analysis
- Using math in physics -- 4. Toy models
- Using math in physics -- 3. Anchor equations