Original Project Description - 2/1/05

School: The Lincoln School
Teachers: Connie Bryan
Audience: Third graders
Project: Understanding Multiplication Concepts.

Ms. Bryan, with whom we worked successfully last year on "Bridges", thinks that a program illustrating the concept of multiplication (adding things in groups) would be very helpful to her students. In class, she has limited time to build arrays, usually using tiles, that represent the rows and columns that make the area of the product. A program that allowed students to build and manipulate arrays would be helpful. Extending this concept, students could also write their own multiplication problems and illustrate them using arrays or some other sort of symbol(s). The concept of rectangle arrays could be used to then illustrate prime numbers (which of course cannot be made into rectangles). Another logical extension might be permutations illustrating practical uses of multiplication in solving such problems as "How many outfits can I make if I have four shirts and three skirts". Active participation in the creation of mathematical problems and solutions seems to be effective for girls. Possible tools include Director, Authorware, and Java/HTML.