[Nadya]

It also doesn't help that they hide details and sometimes straight up lie to students during those first 12 years. To avoid "confusing" them.

Students aren't usually taught subtraction is adding a negative number. Students aren't usually taught division is multiplying by a fraction. Students aren't usually taught that there are ways of counting outside of the decimal 'base 10' way of counting, or the advantages of counting in Octal, or how to count in Binary on your hands.

Math teachers love to say "2+2 does not always equal 4" but never explain that's only true in Base2-4 where the representation of "4" doesn't exist and it is represented as 100, 11, or 10.

So not only are we taught "there's always an answer". We're not taught other concepts and sometimes information is left out entirely until you reach a college level of mathematics - at which point all these lies, unexplained concepts, and "answer-seeking mentality" become a problem.