Writing A Fractal Story

Virginia R. Jones, Central Connecticut State University

 

Since 1998 I have given the following writing assignment in Math 409, Mathematics through Computers.  Math 409 is a course on fractals and chaos for pre-service teachers (K-8). 

 

The assignment is to write a 3 - 5 page story for children in grades 2 - 6. The story must convey the essence of  a specific fractal  selected by the writer from a set of fractals studied in the course.  The story must explain  the following properties of the fractal:

 

1) self-similarity 

 

2) a repeating process that does not stop 

 

3) the change in scale which occurs as the process repeats

 

The only "advice" given on writing the story is the suggestion to create a fairy tale or fable.

 

In each semester, several of the students are asked to read their stories to the Math 409 class.  In addition, some of the stories have been read to second, third and fourth grade classes at the DiLoreto Elementary School in New Britain, CT.  The students who have read their stories to elementary school classes report back on their experience to the class. 

 

At the end of the semester, students are asked to comment on the impact of this assignment on how they understand fractals.  Many of them comment on the role of creativity in exploring mathematical ideas.

 

While some common approaches occur in the stories created, many students have written imaginative stories that capture fractal properties in a fascinating and entertaining fashion.