Image Analysis and Teaching the Concept of Function
Steven Tanimoto, Univ. of Washington, United States
EdMedia + Innovate Learning, in Norfolk, VA USA ISBN 978-1-880094-42-6 Publisher: Association for the Advancement of Computing in Education (AACE), Waynesville, NC
The concept of function is key for understanding algebra and all higher mathematics. Using digital images and image processing, it is possible to introduce the concept of function in new ways which has the potential to be more compelling and effective for some students and which can better reflect the spirit in which functions can be applied in contemporary technology. We describe how two programs for PCs and Macintoshes, called the Pixel Calculator and the Image Warper, can support the exploration of function from a variety of viewpoints. While a digital image itself can be considered as a function, the many other kinds of functions which arise in image analysis support discussions of invertibility, composition, and design of functions for specific purposes. This approach encompasses an important aspect of functions: that they are objects to be designed and applied as well as objects to be contemplated and manipulated with formalisms. The materials and suggestions reported here represent one aspect of an ongoing project that explores applications of image processing in mathematics education.
Tanimoto, S. (2001). Image Analysis and Teaching the Concept of Function. In C. Montgomerie & J. Viteli (Eds.), Proceedings of ED-MEDIA 2001--World Conference on Educational Multimedia, Hypermedia & Telecommunications (pp. 1867-1872). Norfolk, VA USA: Association for the Advancement of Computing in Education (AACE).
© 2001 Association for the Advancement of Computing in Education (AACE)