## Concepts

- Mathematical ideas can be communicated.
- Mathematical ideas can be communicated with written narrative, spoken words, pictures, manipulatives, symbols, and movements.
- Combining different ways of communication can make for more efficient or better communication.
- Charts and graphs can be used to communcate relationships.
- There are different wasy to communicate mathematically.

## Teacher tools

- Six Ways to communicate mathematically: samples of written and spoken words, pictures, manipulatives, symbols, and movements help communication. Includes, Door bell problem - from the book,
*The Door Bell Rang*by Pat Hutchins which can be acted out to assist communication and Using symbols for a problem in the book,*Pigs Will Be Pigs: Fun with Math and Money*. by Amy Axelrod, 1994 problem - Graphing notes for line graphs.
- Language of mathematical representation: nouns and verbsfor objects, use, and operations on objects