Difference between revisions of "Thinking Mathematics"

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'''Thinking Mathematics''' or '''Thinking Physics for math''' is a hypothetical book that teaches math in the style of [[Thinking Physics]].
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is there a [[Thinking Economics]]? basically a [[Thinking Physics]] for econ.
 
is there a [[Thinking Economics]]? basically a [[Thinking Physics]] for econ.
  
 
actually, is there a Thinking Mathematics? (maybe AOPS books are it?) it feels like math would work less well for some reason, but i am having trouble articulating why. maybe because [[Tinkering in math requires loading the situation into working memory|you need to introduce a lot of terminology and concepts into someone's ontology first before you can even ask the question]]? probability/combinatorics is like one of the few branches where you don't need to do this (and this might be why the AoPS book is so enjoyable).
 
actually, is there a Thinking Mathematics? (maybe AOPS books are it?) it feels like math would work less well for some reason, but i am having trouble articulating why. maybe because [[Tinkering in math requires loading the situation into working memory|you need to introduce a lot of terminology and concepts into someone's ontology first before you can even ask the question]]? probability/combinatorics is like one of the few branches where you don't need to do this (and this might be why the AoPS book is so enjoyable).
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UPDATE: i think the thing that makes Thinking Physics possible is that you can pose the question to anyone, in a way that is understandable to them, without first having to lecture them about a bunch of definitions or what a mathematical proof is or whatever.
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There are a few books like Creative Mathematics by H.S. Wall and 'the essence of mathematics through elementary problems' that might be trying to do this, but i have not looked at either of them in depth.
  
 
==See also==
 
==See also==
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* [[Duolingo for math]]
 
* [[Duolingo for math]]
 
* [[Braid for math]]
 
* [[Braid for math]]
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==What links here==
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{{Special:WhatLinksHere/{{FULLPAGENAME}} | hideredirects=1}}
  
 
[[Category:Learning]]
 
[[Category:Learning]]

Latest revision as of 04:13, 8 November 2021

Thinking Mathematics or Thinking Physics for math is a hypothetical book that teaches math in the style of Thinking Physics.

is there a Thinking Economics? basically a Thinking Physics for econ.

actually, is there a Thinking Mathematics? (maybe AOPS books are it?) it feels like math would work less well for some reason, but i am having trouble articulating why. maybe because you need to introduce a lot of terminology and concepts into someone's ontology first before you can even ask the question? probability/combinatorics is like one of the few branches where you don't need to do this (and this might be why the AoPS book is so enjoyable).

UPDATE: i think the thing that makes Thinking Physics possible is that you can pose the question to anyone, in a way that is understandable to them, without first having to lecture them about a bunch of definitions or what a mathematical proof is or whatever.

There are a few books like Creative Mathematics by H.S. Wall and 'the essence of mathematics through elementary problems' that might be trying to do this, but i have not looked at either of them in depth.

See also

What links here