Math with Bad DrawingsCartoon Archive

Definition of a Cognitive Limit

October 15, 2024Original blog post

Definition of a Cognitive Limit: a calculus theorem restated as a truth about learning calculus.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-10-15-key-theorems-about--definition-of-a-cognitive-limit/ (CC BY-NC 4.0)
Transcript

Definition of a Cognitive Limit: For all ε > 0, there exists δ > 0 such that if how weird and non-intuitive ε-δ proofs seem to you < δ, then your sense of what it feels like for a human being to learn calculus < ε.

Topics
Calculus › Limits › Epsilon-DeltaMath Culture › Productive Struggle
Level
CalculusCollege
Themes
Growth MindsetTeachers & ClassroomInspirationStudent Life