## Communicating Mathematics

* Problems and tasks from a variety of sources intended to illustrate
the way mathematics arises in life and work.*

** Explaining Mathematics.** Write instructions so that someone
who has forgotten how could add three common fractions (e.g., 2/3 + 5/7
+ 1/2) and reduce the answer to lowest terms. How could you find
the fractional answer by using an ordinary four-function calculator?

** Pythagorean Theorem.** Explain the Pythagorean Theorem to a
younger student and give two different examples of where it is used.

** Kite Tiles.** Use a collection of Penrose (non-periodic) tiles to
explore the rules for laying them down. Write an explanation that will
tell a tile-layer how to set the tiles to cover a large area without
gaps.

** Explaining a Design.** An artist friend is making a poster
for a school club, and needs to incorporate the club logo, which is a
geometric design consisting of several lines at different angles inside
a circle. For lack of a fax machine, you need to explain the logo over
the telephone so that the friend can reproduce it perfectly.

** Verbalizing Graphs.** You are discussing your mathematics
homework over the telephone with a friend, trying to decide whether you
both got the same graph for a particular function. Describe to a
classmate over the telephone the graph of y = (x^2 + 2x + 1)/(x^2 - 4).

*To contribute or correct items, please e-mail
information to: *`extend@stolaf.edu`* or click
here.*

**| ****
Home Page |
Resources |
Top of Page|
Next Page |
Previous Page |
Contents |
**

*Last Update: 12/28/98*