ccSTEM21b

Functions, Derivatives, Antiderivatives with Sketchpad
Agnes Azzolino



Abstract

      Built to support lectures, examine one Sketchpad with a collection of sketches to remind before introducing functions (support Sketchpads linked), to introduce and explore derivatives from different viewpoints, and including plotting antiderivatives from a Reimann Sums point of view. Brief history also included.

      Yes, it is better if you have a Geometer's Sketchpad and can play while we work.



The Talk

      fX.f'X.f''X.intX.gsp     Cartesian



Welcome

math home [master list of all MSH! dictionary words] calc1



Why Activate?


The Languages of the Math Classroom
© '98, '08, '09 Agnes Azzolino
 

MOTHER TONGUE & OTHER TONGUE(S)
Most Sophisticated and also the Most Basic
 

MOSTLY MATH TONGUES
Most Sophisticated, Most Basic

 
VERBAL / Auditory WRITTEN / Symbolic     PICTORIAL / Visual     CONCRETE / Kinesthetic    
  formal spoken mathematics   written word   DIGITAL MANIPULATIVE     object
  informal spoken mathematics       written symbol   moving picture   model
  spoken symbol   semisymbolic   static picture   manipulative/token
  symbol speak   calculator symbol   numeral
  calculatoreze/computereze   graph
  web speak   nonverbal body language



"Tell me and I forget, teach me and I may remember, involve me and I learn."
- Benjamin Franklin
 


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