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adding concepts to curriculum
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*[[transcendental]] numbers - how do we know they exist?
 
*[[transcendental]] numbers - how do we know they exist?
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Goldbach's Conjecture and Fermat's Last Theorem
 +
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 +
*perfect numbers
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*[[additive factoring]]
 
*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]
 
*Interesting problems in number theory and Euclidean geometry
 
*Interesting problems in number theory and Euclidean geometry
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