#### alice in summerland

learning and teaching math in alice

## Matrix Monday

I started off the day by reading some papers from the 2009 Alice Symposium held at Duke.

Then I skimmed the first chapters in “Pre-Algebra” by McDougal Littell to find some ideas for concepts to cover in Alice worlds. One of the first concepts I came across that could be easily expressed in Alice was inequalities, and using the >, =, and < signs. Thus, I built a program/”game” where students are asked to click on the “>” button if what is on the left side of a balance is greater then what is on the right side, the “=” if they are equal, and the “<” sign if the right side is greater. Using the same method each time, I present several examples, including soccer balls, tortoises, integers, decimals, addition, multiplication, and division.

I then created a world to help students learn how to add, subtract, and multiply matrice. At the bottom I provide a place for the user to do explicit calculations, rather than just in his head, To find the first element in the answer matrix in the picture, for example, the user would need to click 3, then 5, then 2, then 1, and these numbers would go into the equation in the bottom and then ask for the answer of 3*5+2*1. Adding the animation has been complicated, so I would need to include a starting world if I were to make a tutorial for this one, or I could just use it as an example world. When it’s finished, I really think it will be a good tool for students to use to learn how to perform these operations on matrices. Lisa Ishii wrote @ aliceinsummerland wrote @