Understanding and Visualization of the Uniform Continuity of Functions

DOI

10.2991/icat2e-17.2016.2How to use a DOI?

Keywords

Dynamical software, computer-assisted instruction, continuity and uniform continuity.

Abstract

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ljubica Dikovic
PY  - 2017/03
DA  - 2017/03
TI  - Understanding and Visualization of the Uniform Continuity of Functions
BT  - Proceedings of The 2017 International Conference on Advanced Technologies Enhancing Education (ICAT2E 2017)
PB  - Atlantis Press
SP  - 6
EP  - 9
SN  - 2352-5398
UR  - https://doi.org/10.2991/icat2e-17.2016.2
DO  - 10.2991/icat2e-17.2016.2
ID  - Dikovic2017/03
ER  -