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Conservapedia:Critical Thinking in Math (view source)
Revision as of 03:23, August 27, 2007
, 03:23, August 27, 2007Reverted edits by Npc (Talk); changed back to last version by TK
*an analysis of what skills [[College Board]] exams test, and how to improve those skills
*an analysis of what skills [[College Board]] exams test, and how to improve those skills
Please feel free to add other topics and suggestions, and add your name below as a teacher or student interested in this field:
Please feel free to add other topics and suggestions, and add your name below as a teacher or student interested in this field:
== Draft Curriculum ==
== Draft Curriculum ==
*different methods of proof: constructive, induction, contradiction, existence, the Bible
*different methods of proof: constructive, induction, contradiction, existence
*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]
*Interesting problems in number theory and Euclidean geometry
*Interesting problems in number theory and Euclidean geometry
*greatest mathematicians in history, and why
*greatest mathematicians in history, and why
*Axiom of Choice, why it has been controversial, and its use in secular humanism
*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 of Satanism.
*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!)
*Formal mathematical logic
*Formal mathematical logic