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It is commonly accepted that there are only two explanations for the current astronomical observations:
1. The Einstein’s Theory of General Relativity is wrong;
or
2. Dark matter and dark energy exist.
However, there is the third option, based on the fact that everything we know about distant galaxies is based on the “visible amount of matter”.
Note: there is a theory in which speed of photons may depend on their energy due to some quantum gravitational effects, but it is not applied to the mysteries of dark matter and dark energy.
In his recent paper (https://www.researchgate.net/publication/308568264_Analysing_the_Competency_of_Mathematical_Modelling_in_Physics) Prof. Redish analyses the set of mathematical skills physics students need to have in order to success in a physics course. He also touches methodology behind his analysis.
As a practitioner, I have developed and successfully used for many years a hands-on approach to the problem of math in physics courses (and I have evidence that this approach has been appreciated by my students: www.GoMars.xyz/evvv.html).
Slides of a presentation given on 01/17/17 at Boston University Physics Department
” Physics as a Door into STEM Education ”: slides of a presentation given on 01/17/2017 at Boston University Physics Department (for the video go to www.GoMars.xyz/1717.html)
