The Deranged Mathematician: The Importance of…
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The Deranged Mathematician: The Importance of Understanding
This is the first article in the Surviving Proofs series. (As opposed to the 0th article, which appeared last week.) I'm starting with basic tactics that one uses to build a proof---as I see them, anyway. My main argument here is that there are two that one starts with, no matter what: you have to fully understand the problem and fit it into your conceptual framework. This applies regardless of whether you are in a high school geometry class, real analysis, or something much more advanced.
This might seem obvious, but I can't tell you how often I have seen students either ignore these steps entirely or struggle to understand what it actually *means*. So, whether you are a student yourself or have students of your own, I think it is worth going over (albeit for different reasons).
Read the full post (for free) on Substack: The Importance of Understanding https://derangedmathematician.substack.com/p/the-importance-of-understanding
#science
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This is the first article in the Surviving Proofs series. (As opposed to the 0th article, which appeared last week.) I'm starting with basic tactics that one uses to build a proof---as I see them, anyway. My main argument here is that there are two that one starts with, no matter what: you have to fully understand the problem and fit it into your conceptual framework. This applies regardless of whether you are in a high school geometry class, real analysis, or something much more advanced.
This might seem obvious, but I can't tell you how often I have seen students either ignore these steps entirely or struggle to understand what it actually *means*. So, whether you are a student yourself or have students of your own, I think it is worth going over (albeit for different reasons).
Read the full post (for free) on Substack: The Importance of Understanding https://derangedmathematician.substack.com/p/the-importance-of-understanding
#science
source
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