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dblooper  math 
7 hours ago by colindocherty
The secret intellectual history of mathematics | Aeon Essays
‘These foundations [of mathematics] are, moreover, a perpetual source of reflection and discovery for the masters of the science. Even in number system you will find material for long reflection. Remember that Leibniz did not disdain to occupy himself with it.’ – Paul Valéry, letter to Pierre Honnorat, 1942
history  math  argument 
yesterday by kmt
Learning How to Learn Math
this is how i feel about the Zeldovich textbook
math  argument  education  learning 
yesterday by kmt
A Retiree Discovers an Elusive Math Proof—And Nobody Notices | WIRED
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.
math  story  inspirational 
yesterday by lgarron
Strange Loop - PUZZLES, PROBLEMS, AND PROGRAMS
Puzzles take many forms depending on many cognitive abilities, like wordplay, lateral thinking, arithmetic, and spatial reasoning. A certain class of puzzles depends on mental model alignment, or internalizing a set of rules for predicting and explaining observations of a system. Leveraging mental models creates a spectrum of experiences between puzzles, which have handcrafted, usually unique, solutions, and problems, which specify what counts as a solution within a wide solution space. Problems whose solutions are algorithms are programming problems. We observe a pattern in successful techniques for building accurate mental models through interaction---specifically, informative failure---and discuss its application to three points along this spectrum: puzzles, problems, and programs.
puzzles  psychology  math  education  research  video  lecture 
yesterday by kmt

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