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Conservapedia:Critical Thinking in Math (view source)
Revision as of 00:37, August 6, 2007
, 00:37, August 6, 2007→Draft Curriculum
*Axiom of Choice, why it has been controversial, and its use in Wiles' proof of Fermat's Last Theorem
*Axiom of Choice, why it has been controversial, and its use in Wiles' proof of Fermat's Last Theorem
*Set theory in general
*Set theory in general
*Kurt Gödel's incompleteness theorems are interesting; they are applicable not only in maths and logic, but also move into philosophy.
*Kurt Gödel's incompleteness theorems are interesting; they are applicable not only in maths and logic, but also move into philosophy.
*Hilbert's program (although of course the above renders null its aims!)
*Hilbert's program (although of course the above renders null its aims!)
[[category:mathematics]]
[[category:mathematics]]
::: Well I come from Burma, but the colleges and university there are good. Your point about unsolved problems is good, too - have you heard of the folding@home project? It is a different concept, I know, but perhaps relevant - maybe what one brilliant mathematician might struggle at, us many lesser minds might gain insight into! I would also recommend for point 3 the UKMT papers [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html] - I do not know about how it is in the USA, but they are typical here. [[User:AungSein|AungSein]] 20:06, 5 August 2007 (EDT)
::: Well I come from Burma, but the colleges and university there are good. Your point about unsolved problems is good, too - have you heard of the folding@home project? It is a different concept, I know, but perhaps relevant - maybe what one brilliant mathematician might struggle at, us many lesser minds might gain insight into! I would also recommend for point 3 the UKMT papers [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html] - I do not know about how it is in the USA, but they are typical here. [[User:AungSein|AungSein]] 20:06, 5 August 2007 (EDT)
:::: Your additions to the above curriculum are superb! Thanks much, and thanks also for the links to those U.K. tests. I just printed one out am reviewing it. Questions look challenging but doable, which is what we want. Lord knows that students can really improve after practicing on lots of those types of tests. We also have high school contests in the U.S. here: [[Math contests]].--[[User:Aschlafly|Aschlafly]] 20:37, 5 August 2007 (EDT)