DYNAMIC APPROACHES TO MATHEMATICAL PROBLEM MODELING: THE USE OF GEOGEBRA AND WOLFRAM MATHEMATICA FOR ENHANCED SOLUTION
Flamure SADIKI, Anduena HAZIRI, Ylldrita SEFERI, Alit IBRAIMI, Florinda IMERI
Abstract
This paper presents the modeling of mathematical tasks which includes their mathematical expression (their mathematical form) and then the usage of mathematical tools to analyze and solve those tasks. To do this, first, we will try to understand the problem (task) which involves the identification of all its important elements and the selection of parameters associated with them. Then we will present mathematical expressions that describe various relations. We will choose the model depending on the nature of the problem and its complexity. In tasks that involve geometry, we will use the GeoGebra application. With this application, we have the opportunity to visualize, explore, and analyze the given model interactively. While, for models that involve analysis and algebra, we will use Wolfram Mathematica, which includes Wolfram Language as its programming language. After using these applications for different kinds of tasks, we will analyze and compare their solution by also solving them in other forms (classical forms for solving mathematical tasks). The purpose of using different applications is to improve the process of mathematical modeling, providing an interactive way to solve tasks, and often allowing faster and more advanced methods that lead to our task solution.
Pages:
386 - 391