THE MATHEMATICAL MODEL FOR DETERMINING THE COORDINATES OF NOOB Cover Image

THE MATHEMATICAL MODEL FOR DETERMINING THE COORDINATES OF NOOB
THE MATHEMATICAL MODEL FOR DETERMINING THE COORDINATES OF NOOB

Author(s): Iulia Andreea Anghel, Gheorghe Anghel, Marius Daniel Calin, Elena Helerea
Subject(s): Higher Education , ICT Information and Communications Technologies, Distance learning / e-learning, Pedagogy
Published by: Carol I National Defence University Publishing House
Keywords: Euclidean geometry; Gergonne - Euler - Soddy triangle; Noobs' points; Gergonne's straight line; Graph 4.3 software; mathematical model;

Summary/Abstract: Mathematics has been, is and will remain a fascinating topic. Learning mathematics using modern means of information technology, pedagogical approaches specific to 21st century challenges, are issues that will be treated in this article. We live in an era of information explosion, accelerated and revolutionary technical progress, which is why it is imperative to ask questions, assess risks, modify methodologies, concepts and create new learning situations. It is our responsibility to prepare for the future, which today means the class of students / students, instilling in them patterns of attitudes and behaviors, transmitting the knowledge needed for a world in a continuous change worldwide. Software solutions in eLearning imply the existence of a complex system of teaching and learning online, through advanced technologies (laptops, smart phones, tablets, eLearning platforms, internet), offering access, at different levels of study, according to the users needs. Experimental mathematics continues to gain increasing importance in the engineering sciences, in this regard, computerization and simulation play increasingly important roles, providing clarity and accuracy in the technique of teaching-experimenting-evaluation. The Gergonne - Euler - Soddy triangle is a broad subject, for which we propose in this article the analytical and graphical treatment of the determination of the coordinates of NOOBS points and of the equation of GERGONNE's straight line, and through specialized software a graphical application is developed, highlighting their unique characteristics and properties, in Euclidean geometry. The graphical modeling of the triangle ABC, of the inscribed circle and its points of tangency with the sides of the triangle, was performed with Graph 4.3 software.

  • Issue Year: 16/2020
  • Issue No: 03
  • Page Range: 561-574
  • Page Count: 14
  • Language: English