Understanding and Visualization of the Uniform Continuity of Functions

摘要

The formal definition of the concept of continuity, due to its dynamic essence, is perfectly suited to visual representation by software tools. This paper presents the classical teaching approach supported by GeoGebra, for teaching and learning very specific and subtle criteria which distinguish concept uniform continuity of functions compared to the concept of continuity. Without this software tool, in the graphic terms, it would not be possible that students make the distinction between sophisticated class uniformly continuous and non-uniformly continuous functions. Also, the contribution of this paper is presentation some specifics examples to better understanding the concept of continuity vs. uniform continuity at the college levels on the interactive and visual way.