Students in schools and universities suffer from cognitive dissonance by being exposed to contradictory information. Students have to learn that the Earth climate system is at a tipping point about to collapse unless they take action, but they cannot see the tipping point and they do not know what action to take. This is striking dissonance from pure fiction creating fear and despair. The parents cannot help because they have to obey under the authority of the school and media. Teachers who seek to deliver realistic understandable education are incompatible with the School.
Modern physics serves as a fundamental source of cognitive dissonance by presenting quantum mechanics as the perfect model of small scale atomic physics even if describing very strange phenomena, which can neither be observed nor understood. The same for large scale physics of a Universe filled with unknown dark matter/energy and black holes supposedly being described by Einstein's General Theory of Relativity, which cannot be understood nor observed/visualised, since four-dimensional curved space-time is beyond human comprehension.
Modern physicists pay little attention to all the intermediate scales of the physics of fluids and solids forming the World we live in, physics which can be observed and understood. Instead they propagate incomprehensible and contradictory physics and so add to the fire of cognitive dissonance. Why? Is it to form obedient citizens unable to comprehend that they are being fooled?
School mathematics is also a source of cognitive dissonance for many students because it is presented as being very clear and logical and so easily understandable to everybody with a brain and in addition most useful, while the student perception is the opposite. This is inherited from the assumed unique capacity of mathematicians to understand and work with both the infinitely small and the infinitely large way beyond comprehension of even modern physicists, as an expression of the hierarchy of science with mathematics on top followed by physics.
Leibniz World of Math presents a new approach to math education combining understandable with useful without cognitive dissonance.
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