I will soon be teaching (for the fifteenth time) an introductory course called

The first two projects are examples of what are called

*Fractals and Chaos.*The students are middle and secondary school math and science teachers*.*As part of the course, they are required to do a certain amount of programming and I have been converting the program assignments from another language to Scratch. Below are just three of the conversions that have been uploaded to*My Stuff*on Scratch.The first two projects are examples of what are called

*strange attractors*. The first really famous strange attractor was the*Lorenz*attractor (already in*My Stuff*). Before attempting to understand strange attractors, we study the concept of a*mathematical*attractor using a simple linear equation and iteration.**The Hénon Attractor**
http://scratch.mit.edu/projects/10875942/

**The Rössler Attractor**

http://scratch.mit.edu/projects/10876989/

One of the curves that forced mathematicians to redefine the definition of 'curve' was the Koch snowflake. The snowflake curve is an example of a

*similarity*fractal. It's mathematical properties are counter-intuitive. For example, it's perimeter is infinite in length but it bounds a finite area. Students are assigned the task of constructing their own similarity fractal.**The Koch Snowflake**
http://scratch.mit.edu/projects/10992186/

Additional information about each of these projects (in the form of PDF files) can be had by sending an email request to grandadscience@gmail.com.