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== Draft Curriculum ==
 
== Draft Curriculum ==
   −
*different methods of proof:  [[constructive proof]], induction, contradiction, existence
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*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence
−
*[[transcendental]] numbers - do they exist?
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*[[transcendental]] numbers - how do we know they exist?
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Types of math problems presented in [[College Board]] exams, [[math contests|American math contests]] and UK math contests [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html]
 
*Types of math problems presented in [[College Board]] exams, [[math contests|American math contests]] and UK math contests [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html]
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