Activating Precalculus and Calculus
Agnes Azzolino


    Use digital manipulatives, interactive webpages, spreadsheets, and Sketchpads to make math "alive" rather than static as a textbook. It's the same math, but this stuff MOVES.

What Are You Looking For?
1. Do not know what I want.
2. Just something different.
3. Group activity.
4. Individual activity.
5. Lecture material only.
6. Students have computers.


math home calc1

Why Activate?

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

Most Sophisticated and also the Most Basic

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

  • Consider the time needed for the activity.
  • Choose a modality first.
            Visual, Auditory, Symbolic, or Kinesthetic
  • Introduce in the concrete.
  • Review in the abstract.
  • Sometimes use multiple modalities at the same time.
  • Strive for comfort in all modalities, not just your favorite.
  • Repeatition improves retention,
            especially in different modalities.
More to Think About
  • Features of the Languages of the Math Classroom
  • manipulative use


[MC,i. Home, site home page] [Good Stuff -- free & valuable resources] [tutorials & resource material arranged by topic [this semester's schedule w/links] [master list of all MSH! dictionary words] math tokens math ed stuff [www home]

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