Use of GeoGebra in Learning to Solve the Problem of Calculating the Root of a Nonlinear Equation

Judith Keren Jiménez-Vilcherrez, Felicita Marcela Velásquez-Fernández, Araceli Margarita Acevedo-Ruiz, Ricardo Velezmoro-León, Robert Ipanaqué-Chero

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Generally, when starting a first undergraduate numerical methods course, the first method taught to calculate the root of a root of a nonlinear equation in a single variable is the bisection method, in which the initial interval is divided into two subintervals taking the midpoint of the segment as a reference, the subinterval containing the root is bisected again, and so on until the desired root is approximated. The question that naturally arises from students is why would the interval necessarily have to be bisected? What if instead of bisecting the initial interval, we divide it according to a given ratio? This chapter describes the interval method divided by a given reason to approximate the root of a nonlinear equation in a single variable as a generalization of the bisection method. Proposing a new method for teaching the calculation of roots of a nonlinear equation.

Original languageEnglish
Title of host publicationProceedings of 7th International Congress on Information and Communication Technology, ICICT 2022
EditorsXin-She Yang, Simon Sherratt, Nilanjan Dey, Amit Joshi
PublisherSpringer Science and Business Media Deutschland GmbH
Pages753-760
Number of pages8
ISBN (Print)9789811916069
DOIs
StatePublished - 2023
Event7th International Congress on Information and Communication Technology, ICICT 2022 - Virtual, Online
Duration: 21 Feb 202224 Feb 2022

Publication series

NameLecture Notes in Networks and Systems
Volume447
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389

Conference

Conference7th International Congress on Information and Communication Technology, ICICT 2022
CityVirtual, Online
Period21/02/2224/02/22

Keywords

  • Bisection
  • GeoGebra
  • Nonlinear equation
  • Reason given
  • Roots

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