Complex functions with GeoGebra

Abstract Complex functions, generally feature some interesting peculiarities, seen as extensions of real functions. The visualization of complex functions properties usually requires the simultaneous visualization of two-dimensional spaces. The multiple Windows of GeoGebra, combined with its ability...

Full description

Saved in:
Bibliographic Details
Published in:Teaching mathematics and its applications 2016-06, Vol.35 (2), p.102-110
Main Authors: Breda, Ana Maria D’azevedo, Santos, José Manuel Dos Santos Dos
Format: Article
Language:English
Subjects:
Algebra
Computer Software
Geometry
Instructional Materials
Mathematical Concepts
Mathematical Logic
Mathematics
Mathematics Instruction
Number Concepts
Teaching Methods
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract Complex functions, generally feature some interesting peculiarities, seen as extensions of real functions. The visualization of complex functions properties usually requires the simultaneous visualization of two-dimensional spaces. The multiple Windows of GeoGebra, combined with its ability of algebraic computation with complex numbers, allow the study and exploration of complex functions of one complex variable not only through the traditional techniques but also by the use of Domain Colouring techniques. Here, we will show how we can use GeoGebra to explore complex functions, using several representations obtained by the creation of new tools, which complement the ones already provided by this software. Our tools were designed to be used by students attending the first academic year of engineering or science courses. They can and should be used as an educational tool in collaborative learning environments. The main advantage in their use is the promotion of deductive reasoning (conjecture/proof) in individual terms, and the promotion of mathematical discussions in collective terms. In the literature review done so far, few references were found involving the study of this topic by the use of a single software.
ISSN:0268-3679
1471-6976
DOI:10.1093/teamat/hrw010