The Intermediate Understanding Theorem
The Intermediate Understanding Theorem: a calculus theorem restated as a truth about learning calculus.
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Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-10-15-key-theorems-about--the-intermediate-understanding-theorem/ (CC BY-NC 4.0)Transcript
The Intermediate Understanding Theorem: If f(t₀) = "This is impossible!" and f(t₁) = "This is easy," then at some time t where t₀ < t < t₁, f(t) = "This is hard… but I think I'm getting it."