There are only 5 points I wish to make in closing:

• Discuss This With Your Partner! is the most valuable strategy!
• Introduce in the Most Concrete
• Debrief in the Most Abstract
• Regularly Require Translation from One Language to Another
• Good Stories Are Worth Retelling.
  Retell you mathematical stories in as many languages as possible.

The Languages of the Math Classroom

    Verbal, Written, Pictorial, and Concrete (the Hundreds Board, for example) are the four broad mathematics language families discussed in this electronic monograph found at www.mathnstuff.com/papers/langu/page0.htm and additional pages (ISBN: 1-929-870-01-9 © 1998, Agnes Azzolino).

© 2005, Agnes Azzolino www.mathnstuff.com/math/spoken/here/papers/langu/page11.htm