Astner
The Ghost Who Walks
Originally posted by dadudemon
That's not a contradiction, even slightly.Is the following statement true:
"High school maths centers are calculating, while in university it centers around abstract thinking."
No, it is directly false.
Even "abstract" math degrees have quite a few courses and focus on math that you referred to as "calculations".
No, you fail to follow my reasoning.
In high school problems are brought up and you're given concrete explanations on how to solve them, but not necessarily a specific explanations as to why the solutions are solutions.
For instance, you learn how to do basic Riemann integrals in a step-by-step procedure. But you don't prove the Fundamental theorem of calculus, and similar abstract notions requiring an intricate understanding of the theory.
And the Fundamental theorem of calculus is part of single variable analysis, it's later on when you're dealing with various n-dimensional geometries and tensor fields that are impossible to visualize that it gets complicated. Hence, abstract thinking. The purpose of this is of course to be able to identify and solve problems, but to do so you'll have to understand the theory.
Now if you want to continue this debate I'll suggest that you personal message me and take it there, not to derail the thread further.