TY - GEN
T1 - Use of GeoGebra in Learning to Solve the Problem of Calculating the Root of a Nonlinear Equation
AU - Jiménez-Vilcherrez, Judith Keren
AU - Velásquez-Fernández, Felicita Marcela
AU - Acevedo-Ruiz, Araceli Margarita
AU - Velezmoro-León, Ricardo
AU - Ipanaqué-Chero, Robert
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Bisection
KW - GeoGebra
KW - Nonlinear equation
KW - Reason given
KW - Roots
UR - http://www.scopus.com/inward/record.url?scp=85135849518&partnerID=8YFLogxK
U2 - 10.1007/978-981-19-1607-6_67
DO - 10.1007/978-981-19-1607-6_67
M3 - Conference contribution
AN - SCOPUS:85135849518
SN - 9789811916069
T3 - Lecture Notes in Networks and Systems
SP - 753
EP - 760
BT - Proceedings of 7th International Congress on Information and Communication Technology, ICICT 2022
A2 - Yang, Xin-She
A2 - Sherratt, Simon
A2 - Dey, Nilanjan
A2 - Joshi, Amit
PB - Springer Science and Business Media Deutschland GmbH
T2 - 7th International Congress on Information and Communication Technology, ICICT 2022
Y2 - 21 February 2022 through 24 February 2022
ER -