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  •  Too bad I don't live closer (none)
    I'd be knocking at your doorstep to explain Abstract Algebra to me.  Right now it's like reading a Greek text when you don't know how to read greek.

    (And I'm not even to the tricky parts yet)

    America works best in spreading democracy when people over the world see something they want to emulate. Richard

    by Mlle L on Sat Nov 12, 2005 at 08:33:23 AM PST

    [ Parent ]

    •  On one level... (none)'s about learning how to prove things, about the nature of what constitutes a proof, and about how to use words which have very precise meanings in a logically coherent manner.  

      On another level, you are learning about different mathematical objects, sets which have operations acting upon them that follow certain rules.  Logical questions arise:  

    • What rules do you minimally have to have in order to prove a desired result?  
    • If a set has an operation that adheres to those rules, what else must necessarily be true?
    • Given a set with an operation that generates certain properties being true, what can you say about the rules that the operation must satisfy?  What can you say about the structure of the set?
    • What about sets with multiple operations and a way in which the operations are intertwined (i.e. the distributive law)?
    • What can you say about the class of sets that have operations that satisfy certain rules (here, we enter something called Category Theory)?
    • Robyn

Teacher's Lounge opens each Saturday, sometime between 10am and 11am EST

by rserven on Sat Nov 12, 2005 at 09:32:31 AM PST

[ Parent ]


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