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To me proofs never where the interesting part of maths - the ideas and intuition which made the proof possible were. Proofs were a way of formalizing something
by Agingcoder 2y ago
To me proofs never where the interesting part of maths - the ideas and intuition which made the proof possible were.
Proofs were a way of formalizing something and, well, making sure the intuition was actually correct, but they were just a tool and not the game itself.
The best math teachers/professors I had were the ones who focused on the ideas .
- vkazanov 2y agoWell, i don't disagree with you! in my book proofs are formalized intuition.
- analog31 2y agoYup, and once again, it depends on how we learn. I'm a strongly "learn by doing" kind of person. For instance, I'd get almost nothing out of reading a math book that was full of ideas but no problems or proofs. Doing problems and proofs is how I wrestle with the structure of the subject matter, and internalize the ideas.