Learning about the ideal physics models

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reterty 21
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I am now studying the problem of forming students' concepts of ideal physical models (material point, ideal gas, ideal optical system, thin lens, paraxial rays, free particle, etc.). So, it appears that at the first stage it is necessary to consider definitions, essential features, and various applied aspects of the application of such models in science (the study of the object "from the inside"). And the "final chord" can be the generalization of such models, that is, the consideration of the properties and features of generalized models (the study of "outside"). It seems that such a de-idealization method can help to understand more deeply the limit transition models ; understand their connections with other models and better understand the limits of applicability. However, here I ran into the problem of substantiating such a "pedagogical method" from both psychology and pedagogy, with the problem of arguing the need for its implementation in the university. In other words, "the particular cannot be fully understood in depth without examining the features of the more general."
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tinyperson
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Tell me more. I can help but require more details of your assignment.
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reterty 21
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(Original post by tinyperson)
Tell me more. I can help but require more details of your assignment.
Ok. Let us consider several examples.
1) The thin lens model If we take into account the finite lens thickness, then new quantitative and even qualitative effects can be observed. http://www.eu-journal.org/index.php/...ticle/view/143
2) The paraxial approximation. If we take into account the finite values between optical axis and incident rays, then new quantitative and even qualitative effects can be observed http://www.revistacubanadefisica.org...ew/2020v37p084
3) The model of conductor with fixed cross-section and length We can explore the influence of variable (along the length) cross-section of some conductors on the final results of the rsistance. https://www.scielo.br/j/rbef/a/YmdXR...en&format=html

In all of these cases we employ the de-idealization procedure, that is, construction of extended (or, genaralized) in some manner models. It gives us the possibility to test (probe) initial (limiting) models, to evaluate their applicability limits.
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