[^^The Pond Normal School] (^to the home page)

See also:  -[]-
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               -[Different Models]-
               -[Games from non-games]-
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Approximately

On this Page:  {Intro: 1 = 0; approximately}
               {Stuff}
               {}
               {}
               {Links}

               
 

1 = 0; Approximately



  

Stuff

Umberto Ecco (very cool cat, writer, and all round genius) put
it this way:
                Context is king.

That is, we first and fore-most have to know the CONTEXT of
something.  Change the context, and the meaning (of all sort)
will be different. 

...(fade to erotic-thriller)....

 Person 1: I'm going to kill you....

...(fade to student opening their SAT/GRE/ACT/DAT exam-book)....

 Student:  ..(really pumped and READY to take the test)...
           ...(to the exam-book)... I'm going to kill you!!!

etc.

The worst form of propaganda is:

      TO TAKE SOMETHING OUT OF CONTEXT.

Of course, we "know" that - but we keep watching the
same in-ane commercials where instead of writing a
new wiz-bang "catch phrase", they simply echo/parrot
an existing one and put it into a new context.

We (who is this "we"???) live in a violent world.
So, you hear the terms and phrases of VIOLENCE used
so much - we're embeded in the Matrix, and we mouth
the useless and sense-less words until they "sort of"
make sense. And we cover up our ignorance, by something
lame like:

   I meant to do that. (not fooling *anyone* at all)

or

   NOT (this came into vogue in the 1980's - ah, those
        senseless and more-of-the-same post-modern times!!!)

   I belive him.... NOT.

Or an earlier example:   -wise.

   We're all together on this page-wise.

I mean, don't you really (deep down inside), really, really,
really want to understand (eg) trigonometry and "get it" - 
how geeks (or nerds if they are socially dis-inclined 
fitting-in-wise) do) ?

The reason we like to do games (eg) cross word puzzles, 
isn;t because we're good at it - when we start getting
bored with the "EASY" cross words (eg, Monday's or Tuesday's)
then start to yearn for those moderately harder ones; eg,
Wednesday...

The MORAL OF THE STORY IS:

   be kind to your mind.  Take it for a walk down
   calculus or anthropology lane every once in a while.





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Ways of Thinking

Associative thinking, and analogical thinking.

In the 2-dimensional Euclidean plane we can find
the intersection of two lines using the WAY of

   "two equations in two unknowns"

Similarly, we can take a differential equation 
and restrain it via a set of constraints and
get a certain solution; a diff set of constr's
gives a diff (or no) soln.

What happens when fractals collide?

That is, fractals as graphs of an equation.





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               {    

Methods
                   
See also:  -[Different Models]-
   




Changing the Maths Cur.


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  http://www.google.com/search?hl=en&q=%22changing+the+math+curriculum%22





   
  

Ways of Thinking


  -[Change of Context]- (c of c)

  -[Hanover]-

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Methods


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  -[Programmed Learning]- (nobody here in this maze, but just us mice!)


   


Links

In this section:  {<><>}  
                  {Teaching Maths}
  
                  {Mathematical Proofs} (and such)




Teaching Maths
 
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    -[www: TheMathLab . com]-
        Interesting site with lots of "get invovle"
          activities for maths
        In the "teachers only", some good guidances
           Games 
           mini-lectures (five mins each of: Talk, Try the idea, Report!) 
           boardwork 
           groupwork 
           individual work 
           projects 
           videos 
           writing assignments 
           discovery lessons 
           computer practice 
           Internet research 
           spreadsheet explorations 
           humorous stories 
           lively historical anecdotes and facts 
           one on one peer tutoring 
           experiments 
           timed drills 
           self checking worksheets with answer banks 
 

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     the sites www.coursecompass.com/ and MyMathLab.com
         seem pretty $-oriented "improve that grade!"

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Mathematical Proofs
(and such)

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    -[Goldberger's paper on why proofs are necessary]-