Multimedia Technologies in Education of Mathematics: An Experiment with Pythagorean Numbers
Forouzan Golshani, Youngchoon Park, Sae-Hong Cho, Arizona State University, United States
EdMedia + Innovate Learning, in Seattle, WA USA ISBN 978-1-880094-35-8 Publisher: Association for the Advancement of Computing in Education (AACE), Waynesville, NC
Whereas for most people the only application of multimedia technologies in education is hypertext arrangements of topics plus "page turning," we view multimedia technologies as an effective way of visualizing the abstract concepts that are generally hard to grasp. As such, we attempt to create virtual representations of difficult concepts as teaching/learning aids. The important issue is that the student can then work with the virtual representation by making meaningful changes to the object and seeing the results. In this paper, we visualize the notion known as the Pythagorean numbers, i.e. the equation a 2 + b 2 = c 2 , in a way that it can be manipulated by the student. As a part of this, we animate a proof for this equation. In addition, we implement the following variation of the Pythagorean theorem: if the congruent shapes are drawn extended from each side of a right triangle, then the area of the shape which extends from the hypotenuse is equal to the sum of the areas of the shapes which extend from the base and height.
Golshani, F., Park, Y. & Cho, S.H. (1999). Multimedia Technologies in Education of Mathematics: An Experiment with Pythagorean Numbers. In B. Collis & R. Oliver (Eds.), Proceedings of ED-MEDIA 1999--World Conference on Educational Multimedia, Hypermedia & Telecommunications (pp. 540-545). Seattle, WA USA: Association for the Advancement of Computing in Education (AACE).
© 1999 Association for the Advancement of Computing in Education (AACE)