Earlier quoted context omitted.
> Isn't this backwards? If you're just accepting the lecturer's word as dogma, I would argue you're not really gaining an education at all. The process of being convinced and having doubts about the material resolved improves critical thinking and improves understanding of the underlying material as well. Maybe I think differently from you because I come from Germany. But I don't think this is backwards. I openly adm…
> Why are you enrolled in the degree course if you are critical of it instead of wanting to learn the material? Maybe you want to learn why it is true? Since Euclid, mathematics is about proof i.e. being convinced. If you really understand the material, you see it must be true - and need not blindly accept it. What is taught in high school and many university courses is not mathematics, but how to use it. Like how to…
> Since Euclid, mathematics is about proof i.e. being convinced. If you really understand the material, you see it must be true - and need not blindly accept it.
I agree. Learning mathematics means learning the proofs. This is pure learning and has nothing to do with critical thinking (at least to me and I am a mathematician).