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

Table of Contents and Preface
This page begins the collected lecture notes for "The Languages of
A Mathematics Class" presented at 10:00 am on October 22, 1998, by Agnes Azzolino
at the Annual Meeting of the Association of Mathematics Teachers of New Jersey.
Feel free to use this material but quote the source.
Warm Up
 problems prior to the lecture are found at: http://www.mathnstuff.com/papers/langu/page1.htm
Intro to Math Lanugages
 Thoughts from 11/03 to 1/04
Features & Levels of Proficiency
 "Reasons for the Use of the Term Language," "Features of Math Class Languages," and
the "Levels of Proficiency" are found at: http://www.mathnstuff.com/papers/langu/page2.htm
Math Class Language Families
are found at: http://www.mathnstuff.com/papers/langu/page3.htm
The Math Class Languages
are found at: http://www.mathnstuff.com/papers/langu/page4.htm
Verbal
is found at: http://www.mathnstuff.com/papers/langu/page5.htm
Written
is found at: http://www.mathnstuff.com/papers/langu/page6.htm
The Semiequation and Semiexpression
is found at: http://www.mathnstuff.com/papers/langu/page7.htm
Pictorial
is found at: http://www.mathnstuff.com/papers/langu/page8.htm
Math Exercises
is found at: http://www.mathnstuff.com/papers/langu/exerc.htm
Math Exercises Animated Gif
is found at: http://www.mathnstuff.com/papers/langu/fxercis.gif
Concrete
is found at: http://www.mathnstuff.com/papers/langu/page9.htm
"The Hundreds Board"
is found at: http://www.mathnstuff.com/papers/langu/100s/hintro.htm
"Graphing with Manipulatives"
is found at: http://www.mathnstuff.com/papers/langu/gwm/gintro.htm
Golden Rules & Closing
is found at: http://www.mathnstuff.com/papers/langu/page11.htm
Some of this materials has been published or presented before and may
be found in the following publications which are also listed on appropriate
pages as endnotes.
 "The Hundreds Board,"
 Agnes Azzolino, © 2/24/97, TXu 813453 and
Math Games For Adult and Child
Agnes Azzolino, © 1993, ISBN 0962359343

 "Tristadecapath to Math," and
 "Word/Symbol/Picture/Graph Paper,"
 from FALL '96 PAPERS PLUS, Agnes Azzolino, © 1/2/97, TXu 777607

 "Coordinate Plane" and
 "Absolute Value Dilator,"
 from
Exploring Functions
through the Use of Manipulatives Agnes Azzolino, © 2/24/97, TXu 813453 and the
Graphing with Manipulatives Product Line

 "Precalc Questionbook,"
 Agnes Azzolino, © 2/24/97, TXu 813453 and
Fall '98 Precalc QB
Agnes Azzolino, © 1998


 "Semiequations,"
 from "MATYCNJ August '96 Newsletter," Agnes Azzolino, © 1996
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: 1929870019 © 1998,
Agnes Azzolino).
© 2005, Agnes Azzolino
www.mathnstuff.com/math/spoken/here/papers/langu/page0.htm
